def inv(svd): bdi=uni10.Bond(uni10.BD_IN, svd.col()) bdo=uni10.Bond(uni10.BD_OUT, svd.row()) Landa=uni10.UniTensor([bdi,bdo]) Landa.putBlock(svd) Landa=basic.inverse(Landa) return Landa
def intialize_unitary_list(L, L_lay, d, delta):
U_list = []
bdi_spin = uni10.Bond(uni10.BD_IN, d)
bdo_spin = uni10.Bond(uni10.BD_OUT, d)
Svd = []
matrix_random = uni10.Matrix(d * d, d * d)
for i in xrange(d * d):
for j in xrange(d * d):
if (i == j):
matrix_random[i * d * d + j] = 1.0
else:
matrix_random[i * d * d + j] = 0.0
#matrix_random.setIdentity()
for i in xrange(L / 2):
U_list.append([])
for i in xrange(L / 2):
for j in xrange(len(L_lay)):
U_uni10 = uni10.UniTensor([bdi_spin, bdi_spin, bdo_spin, bdo_spin],
"Unitary_uni10")
matrix_random1 = copy.copy(matrix_random)
matrix_random1.randomize()
matrix_random1 = matrix_random + (delta) * matrix_random1
Svd = matrix_random1.svd()
U_uni10.putBlock(Svd[0] * Svd[2])
U_list[i].append(U_uni10)
return U_list
def pauli4body():
'''
Tensors for 4-body Pauli strings.
'''
bond_dim = 2
iden = matIden()
sx = matSx()
sy = matSy()
sz = matSz()
bdi = uni10.Bond(uni10.BD_IN, bond_dim)
bdo = uni10.Bond(uni10.BD_OUT, bond_dim)
pauli1b = [iden, sx, sy, sz]
pauli4b = []
pauli2b = []
l2b = 16
for i in xrange(4):
for j in xrange(4):
mat = uni10.otimes(pauli1b[i], pauli1b[j])
pauli2b.append(mat)
for i in xrange(l2b):
for j in xrange(l2b):
mat = uni10.otimes(pauli2b[i], pauli2b[j])
P = uni10.UniTensor([bdi, bdi, bdi, bdi, bdo, bdo, bdo, bdo])
P.putBlock(mat)
pauli4b.append(P)
return pauli4b
def pauli6body():
'''
Tensors for 6-body Pauli strings.
'''
bond_dim = 2
iden = matIden()
sx = matSx()
sy = matSy()
sz = matSz()
bdi = uni10.Bond(uni10.BD_IN, bond_dim)
bdo = uni10.Bond(uni10.BD_OUT, bond_dim)
pauli1b = [iden, sx, sy, sz]
pauli6b = []
bonds = [bdi] * 6 + [bdo] * 6
pauli3b = []
for i in xrange(4):
for j in xrange(4):
for k in xrange(4):
mat = uni10.otimes(uni10.otimes(pauli1b[i], pauli1b[j]),
pauli1b[k])
pauli3b.append(mat)
l3b = 64
for i in xrange(l3b):
for j in xrange(l3b):
mat = uni10.otimes(pauli3b[i], pauli3b[j])
P = uni10.UniTensor(bonds)
P.putBlock(mat)
pauli6b.append(P)
return pauli6b
def vec2uni(v, L):
bond_dim = 2
vl = list(v)
vl10 = uni10.Matrix(2**L, 1, vl)
bdi = uni10.Bond(uni10.BD_IN, bond_dim)
bdo = uni10.Bond(uni10.BD_OUT, bond_dim)
vtensor = uni10.UniTensor([bdi] * L, 'GS')
vtensor.putBlock(vl10)
return vtensor
def makeTab(chi, D):
bdi = uni10.Bond(uni10.BD_IN, chi)
bdi1 = uni10.Bond(uni10.BD_IN, D)
bdo = uni10.Bond(uni10.BD_OUT, chi)
Tem0 = uni10.UniTensor([bdi, bdi1, bdo])
Tem0.randomize()
Tem1 = uni10.UniTensor([bdi, bdi1, bdo])
Tem1.randomize()
return Tem0, Tem1
def __init__(self, physical=2, Dimension=2, Number=2, rand_fuc='rand'):
self.N = Number
self.D = Dimension
self.d = physical
self.tensor = [None] * Number
bdi = uni10.Bond(uni10.BD_IN, self.D)
bdo = uni10.Bond(uni10.BD_OUT, self.D)
bdi1 = uni10.Bond(uni10.BD_IN, 1)
bdo1 = uni10.Bond(uni10.BD_OUT, 1)
bdi_pys = uni10.Bond(uni10.BD_IN, self.d)
#print "Hi", bdi_pys
A_fixed = uni10.UniTensor([bdi, bdi_pys, bdo], "A_middle")
A_fixed.randomize()
for i in xrange(self.N):
if i == 0:
A = uni10.UniTensor([bdi1, bdi_pys, bdo], "A_0")
if rand_fuc is 'rand':
A.randomize()
self.tensor[i] = A
#print "Hi0A"
elif rand_fuc is 'ortho':
A.orthoRand()
#print "Hi10"
self.tensor[i] = A
elif rand_fuc is 'iden':
A.identity()
self.tensor[i] = A
#print "Hi20"
elif i == ((self.N) - 1):
A = uni10.UniTensor([bdi, bdi_pys, bdo1], "A_N")
if rand_fuc is 'rand':
A.randomize()
self.tensor[i] = A
elif rand_fuc is 'ortho':
A.orthoRand()
self.tensor[i] = A
elif rand_fuc is 'iden':
#print "HIIIIIIIIIIIIIII"
A.identity()
self.tensor[i] = A
else:
A = uni10.UniTensor([bdi, bdi_pys, bdo], "A_middle")
if rand_fuc is 'rand':
A.randomize()
self.tensor[i] = A
elif rand_fuc is 'ortho':
A.orthoRand()
self.tensor[i] = A
elif rand_fuc is 'randuni':
self.tensor[i] = copy.copy(A_fixed)
elif rand_fuc is 'iden':
A.identity()
self.tensor[i] = A
def get_umpo_up_1layer(Ulist,L,bond_idx,bond_dim=2):
# Will not be called
if (bond_idx%2 == 0):
U = Ulist[bond_idx/2]
else:
bdi = uni10.Bond(uni10.BD_IN, bond_dim)
bdo = uni10.Bond(uni10.BD_OUT, bond_dim)
U = uni10.UniTensor([bdi,bdi,bdo,bdo],'U0')
I = matIden()
U.putBlock(I)
return U
def transverseIsing(h):
spin = 0.5
sx = 0.5 * (matSp() + matSm())
sz = matSz()
iden = uni10.Matrix(2, 2, [1, 0, 0, 1])
ham =uni10.otimes(2*sz,2*sz)*(-1) \
+0.25*float(h)*(uni10.otimes(iden,2*sx)+uni10.otimes(2*sx,iden))
dim = int(spin * 2 + 1)
bdi = uni10.Bond(uni10.BD_IN, dim)
bdo = uni10.Bond(uni10.BD_OUT, dim)
H = uni10.UniTensor([bdi, bdi, bdo, bdo], "TFIM")
H.putBlock(ham)
return H
def Ham(h):
spin = 0.5
sx = (matSp() + matSm())
sz = matSz()
iden = uni10.Matrix(2, 2, [1, 0, 0, 1])
ham = uni10.otimes(sz, sz) * (-2.00) + (-0.500) * float(h) * (
uni10.otimes(iden, sx) + uni10.otimes(sx, iden))
dim = int(spin * 2 + 1)
bdi = uni10.Bond(uni10.BD_IN, dim)
bdo = uni10.Bond(uni10.BD_OUT, dim)
H = uni10.UniTensor([bdi, bdi, bdo, bdo], "TFIM")
H.putBlock(ham)
return H
def makec1(chi, D):
bdi = uni10.Bond(uni10.BD_IN, chi)
bdo = uni10.Bond(uni10.BD_OUT, chi)
Tem0 = uni10.UniTensor([bdi, bdo])
Tem0.randomize()
Tem1 = uni10.UniTensor([bdi, bdo])
Tem1.randomize()
Tem2 = uni10.UniTensor([bdi, bdo])
Tem2.randomize()
Tem3 = uni10.UniTensor([bdi, bdo])
Tem3.randomize()
return Tem0, Tem1, Tem2, Tem3
def Iden_uni10(d):
bdi=uni10.Bond(uni10.BD_IN, d)
bdo=uni10.Bond(uni10.BD_OUT, d)
Iden_Matrix=uni10.Matrix(d*d,d)
for i in xrange(d):
for j in xrange(d):
for m in xrange(d):
if i is j and j is m:
Iden_Matrix[i*d+j,m]=1
else:
Iden_Matrix[i*d+j,m]=0
Iden_uni10=uni10.UniTensor([bdi,bdi,bdo], 'Iden_uni10')
Iden_uni10.putBlock(Iden_Matrix)
return Iden_uni10
def transverseIsing(h):
spin = 0.5
sx = matSx()
sy = matSy()
sz = matSz()
iden = uni10.Matrix(2, 2, [1, 0, 0, 1])
ham = uni10.otimes(sz, sz) * (-1) + (-0.2500) * float(h) * (
uni10.otimes(iden, sx) + uni10.otimes(sx, iden))
dim = int(spin * 2 + 1)
bdi = uni10.Bond(uni10.BD_IN, dim)
bdo = uni10.Bond(uni10.BD_OUT, dim)
H = uni10.UniTensor([bdi, bdi, bdo, bdo], "TFIM")
H.putBlock(ham)
return H
def Heisenberg(h):
spin = 0.5
sx = matSx()
sy = matSy()
sz = matSz()
iden = uni10.Matrix(2, 2, [1, 0, 0, 1])
ham = (float(h) * uni10.otimes(sz, sz) * (1.00 / 4.00) +
(1.00 / 4.00) * uni10.otimes(sx, sx) +
(-1.00 / 4.00) * uni10.otimes(sy, sy))
dim = int(spin * 2 + 1)
bdi = uni10.Bond(uni10.BD_IN, dim)
bdo = uni10.Bond(uni10.BD_OUT, dim)
H = uni10.UniTensor([bdi, bdi, bdo, bdo], "Heisenberg")
H.putBlock(ham)
return H
def Heisenberg(D, Delta, h, J):
iden = matId()
sm = matSm()
sp = matSp()
sz = matSz()
sz2 = matSz2()
ham = float(J)*(0.5*(uni10.otimes(sm,sp)+uni10.otimes(sp,sm))+float(Delta)*uni10.otimes(sz,sz))
ham += 0.5*float(h)*(uni10.otimes(iden,sz)+uni10.otimes(sz,iden))
ham += 0.5*float(D)*(uni10.otimes(iden,sz2)+uni10.otimes(sz2,iden))
spin = 1.0
dim = int(spin * 2 + 1)
bdi = uni10.Bond(uni10.BD_IN, dim);
bdo = uni10.Bond(uni10.BD_OUT, dim);
H = uni10.UniTensor([bdi, bdi, bdo, bdo], "Heisenberg")
H.putBlock(ham)
return H
def setTruncation(theta, chi):
#print theta
LA = uni10.UniTensor(theta.bond())
GA = uni10.UniTensor(theta.bond())
GB = uni10.UniTensor(theta.bond())
bond_In_list, bond_OUT_list = bond_list_dist(theta)
#print bond_In_list,bond_OUT_list
svds = {}
blk_qnums = theta.blockQnum()
dim_svd = []
for qnum in blk_qnums:
M_tem = theta.getBlock(qnum)
svds[qnum] = M_tem.svd()
#print qnum, svds[qnum][1]
dim_svd.append(int(svds[qnum][1].col()))
svs = []
bidxs = []
for bidx in xrange(len(blk_qnums)):
svs, bidxs = sv_merge(svs, bidxs, bidx, svds[blk_qnums[bidx]][1], chi,
len(blk_qnums))
#print "lol", svs, bidxs
dims = [0] * len(blk_qnums)
for bidx in bidxs:
dims[bidx] += 1
qnums = []
for bidx in xrange(len(blk_qnums)):
qnums += [blk_qnums[bidx]] * dims[bidx]
bdi_mid = uni10.Bond(uni10.BD_IN, qnums)
#print "Hi", chi, svs, qnums, bdi_mid
#print bdi_mid
bdo_mid = uni10.Bond(uni10.BD_OUT, qnums)
bond_In_list.append(bdo_mid)
GA.assign(bond_In_list)
bond_OUT_list.insert(0, bdi_mid)
GB.assign(bond_OUT_list)
LA.assign([bdi_mid, bdo_mid])
degs = bdi_mid.degeneracy()
for qnum, dim in degs.iteritems():
if qnum not in svds:
raise Exception("In setTruncaton(): Fatal error.")
svd = svds[qnum]
GA.putBlock(qnum, svd[0].resize(svd[0].row(), dim))
GB.putBlock(qnum, svd[2].resize(dim, svd[2].col()))
LA.putBlock(qnum, svd[1].resize(dim, dim))
#print LA
return GA, GB, LA
def magnetization(a_u):
a_u.setLabel([0, 1, 2, 3, 4])
a_uc = copy.copy(a_u)
a_uc.setLabel([5, -1, -2, -3, -4])
sz = matSz()
bdi = uni10.Bond(uni10.BD_IN, 2)
bdo = uni10.Bond(uni10.BD_OUT, 2)
Z = uni10.UniTensor([bdi, bdo], "Z")
Z.putBlock(sz)
Z.setLabel([5, 0])
result = a_uc * Z * a_u
result.combineBond([1, -1])
result.combineBond([2, -2])
result.combineBond([3, -3])
result.combineBond([4, -4])
result.permute([1, 2, 3, 4], 2)
return result
def trgSVD(wch, T, chi):
if wch % 2 == 0:
T.permute([-4, -3, -1, -2], 2)
else:
T.permute([-1, -4, -2, -3], 2)
svd = T.getBlock().svd()
chi = chi if chi < svd[1].row() else svd[1].row()
bdi_chi = uni10.Bond(uni10.BD_IN, chi)
bdo_chi = uni10.Bond(uni10.BD_OUT, chi)
S0 = uni10.UniTensor([T.bond(0), T.bond(1), bdo_chi])
S1 = uni10.UniTensor([bdi_chi, T.bond(2), T.bond(3)])
svd[1].resize(chi, chi)
for i in xrange(chi):
svd[1][i] = np.sqrt(svd[1][i])
S0.putBlock(svd[0].resize(svd[0].row(), chi) * svd[1])
S1.putBlock(svd[1] * svd[2].resize(chi, svd[2].col()))
return S0, S1
def svd_parity(theta):
#print theta,theta.getBlock().svd()
bdo=uni10.Bond(uni10.BD_OUT,theta.bond(1).Qlist())
bdo1=uni10.Bond(uni10.BD_OUT,theta.bond(2).Qlist())
#A_{m<n}=U_{mm}S_{mm}V_{mn}
LA=uni10.UniTensor([theta.bond(1), bdo])
GA=uni10.UniTensor([theta.bond(0), theta.bond(1),bdo])
GB=uni10.UniTensor([theta.bond(1), bdo1])
svds = {}
blk_qnums = theta.blockQnum()
dim_svd=[]
for qnum in blk_qnums:
svds[qnum] = theta.getBlock(qnum).svd()
for qnum in blk_qnums:
svd = svds[qnum]
GA.putBlock(qnum, svd[0])
GB.putBlock(qnum, svd[2])
LA.putBlock(qnum, svd[1])
# print LA
return GA, LA,GB
def qr_parity(theta):
#bd1=copy.copy(theta.bond(3))
#bd1.change(uni10.BD_IN)
bd1 = uni10.Bond(uni10.BD_IN, theta.bond(1).Qlist())
GA = uni10.UniTensor(uni10.CTYPE, [theta.bond(0), theta.bond(1)])
LA = uni10.UniTensor(uni10.CTYPE, [bd1, theta.bond(1)])
svds = {}
blk_qnums = theta.blockQnum()
dim_svd = []
for qnum in blk_qnums:
svds[qnum] = theta.getBlock(qnum).qr()
GA.putBlock(qnum, svds[qnum][0])
LA.putBlock(qnum, svds[qnum][1])
# print LA
return GA, LA
def Equall_Dist(l, r,D,d_phys): bdiB=uni10.Bond(uni10.BD_IN, d_phys*D) bdoB=uni10.Bond(uni10.BD_OUT, d_phys*D) bdi_pys=uni10.Bond(uni10.BD_IN, d_phys) bdi_pyso=uni10.Bond(uni10.BD_OUT, d_phys) bdi=uni10.Bond(uni10.BD_IN, D) bdo=uni10.Bond(uni10.BD_OUT, D) lp=copy.copy(l) rp=copy.copy(r) rp.permute([3,20,1],1) lq_r=rp.getBlock().lq() lp.permute([2,40,3],2) qr_l=lp.getBlock().qr() #lp.setLabel([1,40,-3]) Teta=qr_l[1]*lq_r[0] svd=Teta.svd() s=Sqrt(svd[1]) U=svd[0]*s V=s*svd[2] #U.resize(U.row(),rp.bond()[2].dim() ) #V.resize(rp.bond()[2].dim(), V.col()) #rp=uni10.UniTensor([bdi, bdi_pys,bdoB]) #print lq_r[1].col(), U.row() A=V*lq_r[1] B=qr_l[0]*U rp.putBlock(A) lp.putBlock(B) rp.permute([3,20,1],2) lp.permute([2,40,3],2) lp_d=copy.copy(lp) rp_d=copy.copy(rp) rp_d.setLabel([-3,-20,-1]) lp_d.setLabel([-2,-40,-3]) return lp, rp, lp_d, rp_d
def proper_bond(E1, E2, E3, E4, E5,E6,D,d_phys): bd=uni10.Bond(E1.bond()[1].type(), D) A=uni10.UniTensor([E1.bond()[0],bd,bd,E1.bond()[2]]) A.putBlock(E1.getBlock()) E1=copy.copy(A) E1.setLabel([7,3,-3,8]) bd=uni10.Bond(E2.bond()[1].type(), D) A=uni10.UniTensor([E2.bond()[0],bd,bd,E2.bond()[2]]) A.putBlock(E2.getBlock()) E2=copy.copy(A) E2.setLabel([12,13,-13,7]) bd=uni10.Bond(E3.bond()[1].type(), D) A=uni10.UniTensor([E3.bond()[0],bd,bd,E3.bond()[2]]) A.putBlock(E3.getBlock()) E3=copy.copy(A) E3.setLabel([11,1,-1,12]) bd=uni10.Bond(E4.bond()[1].type(), D) A=uni10.UniTensor([E4.bond()[0],bd,bd,E4.bond()[2]]) A.putBlock(E4.getBlock()) E4=copy.copy(A) E4.setLabel([11,4,-4,10]) bd=uni10.Bond(E5.bond()[1].type(), D) A=uni10.UniTensor([E5.bond()[0],bd,bd,E5.bond()[2]]) A.putBlock(E5.getBlock()) E5=copy.copy(A) E5.setLabel([10,5,-5,9]) bd=uni10.Bond(E6.bond()[1].type(), D) A=uni10.UniTensor([E6.bond()[0],bd,bd,E6.bond()[2]]) A.putBlock(E6.getBlock()) E6=copy.copy(A) E6.setLabel([9,6,-6,8]) return E1, E2, E3, E4, E5,E6
def initialize_SVD_lrprime(l, r, l_d, r_d, N_uni,U,D,d_phys): bdiB=uni10.Bond(uni10.BD_IN, d_phys*D) bdoB=uni10.Bond(uni10.BD_OUT, d_phys*D) bdi_pys=uni10.Bond(uni10.BD_IN, d_phys) bdi_pyso=uni10.Bond(uni10.BD_OUT, d_phys) bdi=uni10.Bond(uni10.BD_IN, D) bdo=uni10.Bond(uni10.BD_OUT, D) U.setLabel([-20,-40,20,40]) lp=copy.copy(l) rp=copy.copy(r) #lp.setLabel([1,40,-3]) Teta=U*lp*rp Teta.permute([1,-20,2,-40],2) svd=Teta.getBlock().svd() s=Sqrt(svd[1]) U=svd[0]*s V=s*svd[2] U.resize(U.row(),rp.bond()[0].dim() ) V.resize(rp.bond()[0].dim(), V.col()) rp=uni10.UniTensor([bdiB, bdi_pys, bdo ]) rp.putBlock(U) rp.setLabel([1,20,3]) rp.permute([3,20,1],2) lp=uni10.UniTensor([ bdi, bdoB, bdi_pyso]) lp.putBlock(V) lp.setLabel([3,2,40]) lp.permute([2,40,3],2) lp_d=copy.copy(lp) rp_d=copy.copy(rp) rp_d.setLabel([-3,-20,-1]) lp_d.setLabel([-2,-40,-3]) return lp, rp, lp_d, rp_d
def get_Hbond_tensor(model,bond_idx,L,J=1.0,Fieldz=1.0,hzlist=[],bond_dim=2,\
avebond=True):
#TODO put Z terms only into the even bonds
'''
_________________________________________________________________
Ising Model: | Heisenberg Model
-J XX - h Z (h=Fieldz) | J(XX + ZZ - YY) + h Z (h=hzlist)
____________________________|____________________________________
Result in a tensor:
_____
0 __| |__ 2
1 __| H |__ 3
|_____|
_________________________________________________________________
'''
# make matrix
sx = utils.matSx()
sy = utils.matSy()
sz = utils.matSz()
s0 = utils.matIden()
if (model == 'Ising'):
Hbond_mat = (-1.*J)*uni10.otimes(sx,sx)
if avebond:
if (bond_idx == 0):
Hbond_mat += (-1.0*Fieldz)*uni10.otimes(sz,s0)
Hbond_mat += (-0.5*Fieldz)*uni10.otimes(s0,sz)
elif (bond_idx == L-2):
Hbond_mat += (-0.5*Fieldz)*uni10.otimes(sz,s0)
Hbond_mat += (-1.0*Fieldz)*uni10.otimes(s0,sz)
else:
Hbond_mat += (-0.5*Fieldz)*uni10.otimes(sz,s0)
Hbond_mat += (-0.5*Fieldz)*uni10.otimes(s0,sz)
else:
if (bond_idx%2 == 0):
Hbond_mat += (-1.0*Fieldz)*uni10.otimes(sz,s0)
Hbond_mat += (-1.0*Fieldz)*uni10.otimes(s0,sz)
elif (model == 'Heisenberg'):
#TODO try evenly distributed bond
Hbond_mat = (1.*J)*uni10.otimes(sx,sx)
Hbond_mat += (-1.*J)*uni10.otimes(sy,sy)
Hbond_mat += (1.*J)*uni10.otimes(sz,sz)
if avebond:
if (bond_idx == 0):
Hbond_mat += (1. *hzlist[0])*uni10.otimes(sz,s0)
Hbond_mat += (0.5*hzlist[1])*uni10.otimes(s0,sz)
elif (bond_idx == L-2):
Hbond_mat += (0.5*hzlist[L-2])*uni10.otimes(sz,s0)
Hbond_mat += (1. *hzlist[L-1])*uni10.otimes(s0,sz)
else:
Hbond_mat += (0.5*hzlist[bond_idx])*uni10.otimes(sz,s0)
Hbond_mat += (0.5*hzlist[bond_idx+1])*uni10.otimes(s0,sz)
else:
if (bond_idx%2 == 0):
Hbond_mat += (1.*hzlist[bond_idx])*uni10.otimes(sz,s0)
Hbond_mat += (1.*hzlist[bond_idx+1])*uni10.otimes(s0,sz)
else:
raise Exception("The model can only be Ising or Heisenberg!")
# construct tensor
bdi = uni10.Bond(uni10.BD_IN, bond_dim)
bdo = uni10.Bond(uni10.BD_OUT, bond_dim)
Hbond = uni10.UniTensor([bdi,bdi,bdo,bdo],'Hbond')
Hbond.putBlock(Hbond_mat)
Hbond.setLabel([0,1,2,3])
return Hbond
def Qr_lQ_decom(a_u,b_u, E1, E2, E3, E4, E5,E6,D,d_phys): a_uc=copy.copy(a_u) a_uc.setLabel([20,13,1,2,3]) a_uc.permute([3,13,1,20,2],3) mat=a_uc.getBlock() qr=mat.qr() bdiB=uni10.Bond(uni10.BD_IN, d_phys*D) bdoB=uni10.Bond(uni10.BD_OUT, d_phys*D) bdi_pys=uni10.Bond(uni10.BD_IN, d_phys) bdi_pyso=uni10.Bond(uni10.BD_OUT, d_phys) bdi=uni10.Bond(uni10.BD_IN, D) bdo=uni10.Bond(uni10.BD_OUT, D) q_uni=uni10.UniTensor([bdi,bdi,bdi,bdoB]) r_uni=uni10.UniTensor([bdiB,bdi_pyso,bdo]) q_uni.setLabel([3,13,1,100]) r_uni.setLabel([100,20,2]) q_uni.putBlock(qr[0]) r_uni.putBlock(qr[1]) b_uc=copy.copy(b_u) b_uc.setLabel([40,2,4,5,6]) b_uc.permute([40,2,4,5,6],2) mat=b_uc.getBlock() lq=mat.lq() l_uni=uni10.UniTensor([bdi_pys,bdi,bdoB]) qq_uni=uni10.UniTensor([bdiB,bdo,bdo,bdo]) l_uni.setLabel([40,2,200]) qq_uni.setLabel([200,4,5,6]) l_uni.putBlock(lq[0]) qq_uni.putBlock(lq[1]) r_uni_d=copy.copy(r_uni) r_uni_d.setLabel([-100,-20,-2]) l_uni_d=copy.copy(l_uni) l_uni_d.setLabel([-40,-2,-200]) q_uni_d=copy.copy(q_uni) q_uni_d.setLabel([-3,-13,-1,-100]) qq_uni_d=copy.copy(qq_uni) qq_uni_d.setLabel([-200,-4,-5,-6]) N=((((E1*q_uni)*E2)*q_uni_d)*E3)*((((E6*qq_uni)*E5)*qq_uni_d)*E4) N.permute([100,-100,200,-200],2) N.setLabel([1,-1,2,-2]) #r_uni.setLabel([100,20,2]) r_uni.setLabel([1,20,3]) r_uni.permute([3,20,1],2) r_uni_d=copy.copy(r_uni) r_uni_d.setLabel([-3,-20,-1]) #l_uni.setLabel([40,2,200]) l_uni.setLabel([40,3,2]) l_uni.permute([2,40,3],2) l_uni_d=copy.copy(l_uni) l_uni_d.setLabel([-2,-40,-3]) #q_uni.setLabel([3,13,1,100]) q_uni.setLabel([2,4,5,1]) #qq_uni.setLabel([200,4,5,6]) qq_uni.setLabel([2,4,5,6]) return N, l_uni, l_uni_d, r_uni, r_uni_d, q_uni,qq_uni
def add_left(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,a,b,c,d,chi,D): c1.setLabel([4,1]) c2.setLabel([3,7]) c3.setLabel([4,24]) c4.setLabel([18,22]) Ta1.setLabel([2,6,3]) Ta2.setLabel([14,10,7]) Ta3.setLabel([22,19,23]) Ta4.setLabel([18,15,-3]) Tb1.setLabel([1,5,2]) Tb2.setLabel([4,17,14]) Tb3.setLabel([23,20,24]) Tb4.setLabel([-1,8,4]) a.setLabel([8,-2,9,5]) b.setLabel([9,13,10,6]) c.setLabel([15,19,16,-4]) d.setLabel([16,20,17,13]) Contract=(((((c3*Tb2)*Tb3)*(d))*(((c4*Ta3)*Ta4)*c))*(((c2*Ta2)*Ta1)*b))*(((c1*Tb1)*Tb4)*a) Contract.permute([-1,-2,-3,-4],2) #print Contract.trace()#, Contract.printDiagram() svd = Contract.getBlock() svd=svd.svd() bdo = uni10.Bond(uni10.BD_OUT, chi) U1x=uni10.UniTensor([Contract.bond()[0],Contract.bond()[1], bdo], "U1x") U1x.putBlock(svd[0].resize(svd[0].row(), chi)) U1x_trans=copy.copy(U1x) U1x_trans.transpose() c1.setLabel([4,1]) c2.setLabel([3,7]) c3.setLabel([4,24]) c4.setLabel([18,22]) Ta1.setLabel([2,6,3]) Ta2.setLabel([-1,10,7]) Ta3.setLabel([22,19,23]) Ta4.setLabel([18,15,11]) Tb1.setLabel([1,5,2]) Tb2.setLabel([4,17,-3]) Tb3.setLabel([23,20,24]) Tb4.setLabel([11,8,4]) a.setLabel([8,12,9,5]) b.setLabel([9,-2,10,6]) c.setLabel([15,19,16,12]) d.setLabel([16,20,17,-4]) Contract=(((((c3*Tb2)*Tb3)*(d))*(((c4*Ta3)*Ta4)*c))*(((c1*Tb1)*Tb4)*a))*(((c2*Ta2)*Ta1)*b) Contract.permute([-1,-2,-3,-4],2) #print Contract.trace()#, Contract.printDiagram() svd = Contract.getBlock().svd() bdo = uni10.Bond(uni10.BD_OUT, chi) U2x=uni10.UniTensor([Contract.bond()[0],Contract.bond()[1], bdo], "U2x") U2x.putBlock(svd[0].resize(svd[0].row(), chi)) U2x_trans=copy.copy(U2x) U2x_trans.transpose() Ta4p=copy.copy(Ta4) Tb4p=copy.copy(Tb4) Ta2p=copy.copy(Ta2) Tb2p=copy.copy(Tb2) U1xb=copy.copy(U1x) U1xb_trans=copy.copy(U1x_trans) U2xb=copy.copy(U2x) U2xb_trans=copy.copy(U2x_trans) ap=copy.copy(a) bp=copy.copy(b) cp=copy.copy(c) dp=copy.copy(d) c1.setLabel([4,1]) c2.setLabel([3,7]) c3.setLabel([47,50]) c4.setLabel([44,48]) Ta1.setLabel([2,6,3]) Ta2.setLabel([14,10,7]) Ta2p.setLabel([34,30,27]) Ta3.setLabel([48,45,49]) Ta4.setLabel([-1,21,17]) Ta4p.setLabel([44,41,37]) Tb1.setLabel([1,5,2]) Tb2.setLabel([27,23,20]) Tb2p.setLabel([47,43,40]) Tb3.setLabel([49,46,50]) Tb4.setLabel([11,8,4]) Tb4p.setLabel([31,28,-3]) a.setLabel([8,12,9,5]) b.setLabel([9,13,10,6]) c.setLabel([21,-2,22,18]) d.setLabel([22,26,23,19]) ap.setLabel([28,32,29,-4]) bp.setLabel([29,33,30,26]) cp.setLabel([41,45,42,38]) dp.setLabel([42,46,43,39]) U1x.setLabel([17,18,15]) U1x_trans.setLabel([15,11,12]) U2x.setLabel([20,19,16]) U2x_trans.setLabel([16,14,13]) U1xb.setLabel([37,38,35]) U1xb_trans.setLabel([35,31,32]) U2xb.setLabel([40,39,36]) U2xb_trans.setLabel([36,34,33]) Contract=( ( (((((c1*Tb1 )*Tb4)*a) * U1x_trans) * ((((c2*Ta1)*Ta2)*b)* U2x_trans)) * ( (((((c4*Ta3)*Ta4p)*cp)*U1xb) * ((((c3*Tb3)*Tb2p)*dp)*U2xb)) * ( ((Tb2*U2x)*d) * ((Ta2p*U2xb_trans)*bp) ) ) ) * ((Ta4 *U1x) *c) ) * ((Tb4p* ap)* U1xb_trans) Contract.permute([-1,-2,-3,-4],2) #print Contract.trace() #print Contract.printDiagram() svd = Contract.getBlock().svd() bdo = uni10.Bond(uni10.BD_OUT, chi) U3x=uni10.UniTensor([Contract.bond()[0],Contract.bond()[1], bdo], "U3x") U3x.putBlock(svd[0].resize(svd[0].row(), chi)) U3x_trans=copy.copy(U3x) U3x_trans.transpose() c1.setLabel([4,1]) c2.setLabel([3,7]) c3.setLabel([47,50]) c4.setLabel([44,48]) Ta1.setLabel([2,6,3]) Ta2.setLabel([14,10,7]) Ta2p.setLabel([34,30,-3]) Ta3.setLabel([48,45,49]) Ta4.setLabel([24,21,17]) Ta4p.setLabel([44,41,37]) Tb1.setLabel([1,5,2]) Tb2.setLabel([-1,23,20]) Tb2p.setLabel([47,43,40]) Tb3.setLabel([49,46,50]) Tb4.setLabel([11,8,4]) Tb4p.setLabel([31,28,24]) a.setLabel([8,12,9,5]) b.setLabel([9,13,10,6]) c.setLabel([21,25,22,18]) d.setLabel([22,-2,23,19]) ap.setLabel([28,32,29,25]) bp.setLabel([29,33,30,-4]) cp.setLabel([41,45,42,38]) dp.setLabel([42,46,43,39]) U1x.setLabel([17,18,15]) U1x_trans.setLabel([15,11,12]) U2x.setLabel([20,19,16]) U2x_trans.setLabel([16,14,13]) U1xb.setLabel([37,38,35]) U1xb_trans.setLabel([35,31,32]) U2xb.setLabel([40,39,36]) U2xb_trans.setLabel([36,34,33]) Contract=( ( (((((c1*Tb1 )*Tb4)*a) * U1x_trans) * ((((c2*Ta1)*Ta2)*b)* U2x_trans)) * ( (((((c4*Ta3)*Ta4p)*cp)*U1xb) * ((((c3*Tb3)*Tb2p)*dp)*U2xb)) * ( ((Ta4 *U1x) *c) * ((Tb4p* ap)* U1xb_trans) ) ) ) * ((Tb2*U2x)*d) ) *((Ta2p*U2xb_trans)*bp) Contract.permute([-1,-2,-3,-4],2) #print Contract.trace() #print Contract.printDiagram() svd = Contract.getBlock().svd() bdo = uni10.Bond(uni10.BD_OUT, chi) U4x=uni10.UniTensor([Contract.bond()[0],Contract.bond()[1], bdo], "U4x") U4x.putBlock(svd[0].resize(svd[0].row(), chi)) U4x_trans=copy.copy(U4x) U4x_trans.transpose() ############################################################################### c1.setLabel([0,1]) Tb1.setLabel([1,2,3]) c1bar=c1*Tb1 c1bar.permute([0,2,3],2) c4.setLabel([0,1]) Ta3.setLabel([1,2,3]) c4bar=c4*Ta3 c4bar.permute([0,2,3],1) ############################## U3x_trans.setLabel([4,0,2]) c1bar=c1bar*U3x_trans c1bar.permute([4,3],1) ############################ U3x.setLabel([0,2,4]) c4bar=c4bar*U3x c4bar.permute([4,3],1) ############################# Tb4.setLabel([0,1,2]) a.setLabel([1,3,4,5]) U3x.setLabel([2,5,6]) U1x_trans.setLabel([7,0,3]) Tb4bar=((Tb4*a)*U3x)*U1x_trans Tb4bar.permute([7,4,6],2) ########################### Ta4.setLabel([0,1,2]) c.setLabel([1,3,4,5]) U1x.setLabel([2,5,6]) U3x_trans.setLabel([7,0,3]) Ta4bar=((Ta4*c)*U3x_trans)*U1x Ta4bar.permute([7,4,6],2) ############################# #################3################################ c2.setLabel([0,1]) Ta1.setLabel([3,2,0]) c2bar=c2*Ta1 c2bar.permute([1,2,3],2) c3.setLabel([0,1]) Tb3.setLabel([3,2,1]) c3bar=c3*Tb3 c3bar.permute([3,0,2],1) ############################## U4x_trans.setLabel([4,1,2]) c2bar=c2bar*U4x_trans c2bar.permute([3,4],1) ############################ U4x.setLabel([0,2,4]) c3bar=c3bar*U4x c3bar.permute([4,3],1) ############################# Ta2.setLabel([0,1,2]) b.setLabel([4,5,1,3]) U4x.setLabel([2,3,7]) U2x_trans.setLabel([6,0,5]) Ta2bar=((Ta2*b)*U4x)*U2x_trans Ta2bar.permute([6,4,7],2) ########################### Tb2.setLabel([0,1,2]) d.setLabel([4,5,1,3]) U2x.setLabel([2,3,7]) U4x_trans.setLabel([6,0,5]) Tb2bar=((Tb2*d)*U4x_trans)*U2x Tb2bar.permute([6,4,7],2) ########################### ########################### if ( (abs(c3bar.getBlock().absMax()) < 0.50e-1) or (abs(c3bar.getBlock().absMax()) > 0.50e+1) ): c3=c3bar*(1.00/c3bar.getBlock().absMax()); else: c3=c3bar; #print 'norm000', c3.norm(), c3.getBlock().absMax() if ( (abs(c2bar.getBlock().absMax()) < 0.50e-1) or (abs(c2bar.getBlock().absMax()) > 0.50e+1) ): c2=c2bar*(1.00/c2bar.getBlock().absMax()); else: c2=c2bar; #print 'norm111', c2.norm(), c2.getBlock().absMax() if ( (abs(Ta2bar.getBlock().absMax()) < 0.50e-1) or (abs(Ta2bar.getBlock().absMax()) > 0.50e+1) ): Ta2=Ta2bar*(1.00/Ta2bar.getBlock().absMax()); else: Ta2=Ta2bar; #print 'norm222', Ta2.norm(), Ta2.getBlock().absMax() if ( (abs(Tb2bar.getBlock().absMax()) < 0.50e-1) or (abs(Tb2bar.getBlock().absMax()) > 0.50e+1) ): Tb2=Tb2bar*(1.00/Tb2bar.getBlock().absMax()); else: Tb2=Tb2bar; #print 'norm333', Tb2.norm(), Tb2.getBlock().absMax() if ( (abs(c1bar.getBlock().absMax()) < 0.50e-1) or (abs(c1bar.getBlock().absMax()) > 0.50e+1) ): c1=c1bar*(1.00/c1bar.getBlock().absMax()); else: c1=c1bar; #print 'norm0', c1.norm(), c1.getBlock().absMax() if ( (abs(c4bar.getBlock().absMax()) < 0.50e-1) or (abs(c4bar.getBlock().absMax()) > 0.50e+1) ): c4=c4bar*(1.00/c4bar.getBlock().absMax()); else: c4=c4bar; #print 'norm1', c4.norm(), c4.getBlock().absMax() if ( (abs(Ta4bar.getBlock().absMax()) < 0.50e-1) or (abs(Ta4bar.getBlock().absMax()) > 0.50e+1) ): Ta4=Ta4bar*(1.00/Ta4bar.getBlock().absMax()); else: Ta4=Ta4bar; #print 'norm2', Ta4.norm(), Ta4.getBlock().absMax() if ( (abs(Tb4bar.getBlock().absMax()) < 0.50e-1) or (abs(Tb4bar.getBlock().absMax()) > 0.50e+1) ): #print 'norm3', Tb4bar.norm(), Tb4bar.getBlock().absMax() Tb4=Tb4bar*(1.00/Tb4bar.getBlock().absMax()); else: Tb4=Tb4bar; #print 'norm3', Tb4.norm(), Tb4.getBlock().absMax() ############################### return c1, Ta4, Tb4, c4, c2, Ta2, Tb2, c3
# ### bond construction
sx = np.array([0.,1.,1.,0.]).reshape(2,2)
sy = np.array([0.,-1,1,0.]).reshape(2,2)
sz = np.array([1.,0.,0.,-1.]).reshape(2,2)
si = np.eye(2)
Sx = uni10.Matrix(2,2,[0.,1.,1.,0.])
Sy = uni10.Matrix(2,2,[0.,-1,1,0.])
Sz = uni10.Matrix(2,2,[1.,0.,0.,-1.])
Si = uni10.Matrix(2,2,[1.,0.,0.,1.])
hm = -1.* np.kron(sx,sx)-0.5*(np.kron(sz,si)+np.kron(si,sz))
hl = -1.* np.kron(sx,sx)-0.5*np.kron(si,sz)-np.kron(sz,si)
hr = -1.* np.kron(sx,sx)-np.kron(si,sz)-0.5*np.kron(sz,si)
bdi = uni10.Bond(uni10.BD_IN,2)
bdo = uni10.Bond(uni10.BD_OUT,2)
u11 = np.einsum('ij,kl->ikjl',sx,sz)
u12 = np.einsum('ij,kl->ikjl',si,sx)
u13 = np.einsum('ij,kl->ikjl',sz,sz)
u21 = np.einsum('ij,kl->ikjl',sz,sx)
u22 = np.einsum('ij,kl->ikjl',sz,si)
u23 = np.einsum('ij,kl->ikjl',sx,sx)
U11 = uni10.UniTensor([bdi,bdi,bdo,bdo])
U11.putBlock(uni10.otimes(Sx,Sz))
U12 = uni10.UniTensor([bdi,bdi,bdo,bdo])
U12.putBlock(uni10.otimes(Si,Sx))
U13 = uni10.UniTensor([bdi,bdi,bdo,bdo])
if (abs(D[i])>lambda2):
lambda2 = abs(D[i])
return -1/np.log(lambda2/lambda1)
D = float(sys.argv[1])
chi = int(sys.argv[2])
istate = int(sys.argv[3])
delta = 0.01
N = 20000
Delta = 1.000
h = 0.000
J = 1.000
H = Heisenberg(D, Delta, h, J)
bdi_chi = uni10.Bond(uni10.BD_IN, chi)
bdo_chi = uni10.Bond(uni10.BD_OUT, chi)
# Gamma matrices: Gs=[Ga, Gb]
Gs = []
Gs.append(uni10.UniTensor([bdi_chi, bdo_chi, H.bond(2)], "Ga"))
Gs.append(uni10.UniTensor([bdi_chi, bdo_chi, H.bond(2)], "Gb"))
Gs[0].set_zero(), Gs[1].set_zero()
#Gs[0].randomize(), Gs[1].randomize()
#Gs.append(uni10.UniTensor([bdi_chi, bdo_chi, H.bond(2)], "Gc"))
#Gs.append(uni10.UniTensor([bdi_chi, bdo_chi, H.bond(2)], "Gd"))
#Gs[2].set_zero(), Gs[3].set_zero()
# Lambda matrices (diagonal): Ls=[La, Lb]
Ls = []
Ls.append(uni10.Matrix(chi, chi, True)) # Diagonal matrix
Positive = 'Restrict'
Corner_method = 'CTMRG' #CTM, CTMRG, CTMFull
Acc_E = 1.00e-6
Steps = [1.0e-1, 1.0e-2, 1.0e-3, 1.0e-4, 1.0e-5, 6.0e-6] #,[Start,steps,End]
delta = 0.001
###################################################################
zlist = []
Elist = []
zlist1 = []
Elist1 = []
zlist2 = []
Elist2 = []
file = open("Data/varianceAll.txt", "w")
bdi = uni10.Bond(uni10.BD_IN, D)
bdo = uni10.Bond(uni10.BD_OUT, D)
bdi_pys = uni10.Bond(uni10.BD_IN, d_phys)
Truncation = [0]
Gamma_a = uni10.UniTensor([bdi_pys, bdi, bdi, bdo, bdo], "Gamma_a")
Gamma_b = uni10.UniTensor([bdi_pys, bdi, bdi, bdo, bdo], "Gamma_b")
Gamma_c = uni10.UniTensor([bdi_pys, bdi, bdi, bdo, bdo], "Gamma_c")
Gamma_d = uni10.UniTensor([bdi_pys, bdi, bdi, bdo, bdo], "Gamma_d")
Landa_1 = uni10.UniTensor([bdi, bdo], "Landa_1")
Landa_2 = uni10.UniTensor([bdi, bdo], "Landa_2")
Landa_3 = uni10.UniTensor([bdi, bdo], "Landa_3")
Landa_4 = uni10.UniTensor([bdi, bdo], "Landa_4")
Landa_5 = uni10.UniTensor([bdi, bdo], "Landa_5")
Landa_6 = uni10.UniTensor([bdi, bdo], "Landa_6")
def initialize_Positiv_lrprime(l, r, l_d, r_d, N_uni, U, D, d_phys, q_u, qq_u,a_u,b_u,Positive):
U.setLabel([-20,-40,20,40])
bdiB=uni10.Bond(uni10.BD_IN, d_phys*D)
bdoB=uni10.Bond(uni10.BD_OUT, d_phys*D)
bdiBB=uni10.Bond(uni10.BD_IN, d_phys*D*d_phys*D)
bdoBB=uni10.Bond(uni10.BD_OUT, d_phys*D*d_phys*D)
bdi_pys=uni10.Bond(uni10.BD_IN, d_phys)
bdi_pyso=uni10.Bond(uni10.BD_OUT, d_phys)
bdi=uni10.Bond(uni10.BD_IN, D)
bdo=uni10.Bond(uni10.BD_OUT, D)
#A=(r*r_d)*U*(l*l_d)*N_uni
#print 'test', A[0]
#print N_uni
N=copy.copy(N_uni)
N.setLabel([1,-1,2,-2])
N.permute([-1,-2,1,2], 2)
N1=copy.copy(N)
N1.transpose()
N=(N+N1)*(1.00/2.00)
if Positive is 'Restrict':
M=N.getBlock()
N_2=M*M
eig=N_2.eigh()
#print eig[0]
e=Sqrt(eig[0])
#print e
U_trans=copy.copy(eig[1])
U_trans.transpose()
M=U_trans*e*eig[1]
N.putBlock(M)
eig=N.getBlock()
eig=eig.eigh()
e=Positiv(eig[0])
# print '\n','\n'
# for i1 in xrange(int(e.row())):
# print e[i1]
# print '\n','\n'
for q in xrange(int(eig[0].row())):
e[q]=(e[q]**(1.00/2.00))
X=e*eig[1]
eig[1].transpose()
X_tran=eig[1]*e
X_u=uni10.UniTensor([bdiBB,bdoB,bdoB])
X_u.putBlock(X)
X_tran_u=uni10.UniTensor([bdiB,bdiB,bdoBB])
X_tran_u.putBlock(X_tran)
#################################################
X_u.permute([1,0,2],1)
#print X_u
lq1=X_u.getBlock().lq()
l1=lq1[0]
#print l1, l1[0]
l1_inv=l1.inverse()
#print l1*l1_inv
X_u.permute([1,0,2],2)
qr1=X_u.getBlock().qr()
r1=qr1[1]
r1_inv=r1.inverse()
r1_uni_inv=uni10.UniTensor([bdiB,bdoB])
r1_uni_inv.putBlock(r1_inv)
r1_uni_inv.setLabel([2,-2])
qq_u=qq_u*r1_uni_inv
qq_u.permute([-2,4,5,6],3)
qq_u.setLabel([2,4,5,6])
l1_uni_inv=uni10.UniTensor([bdiB,bdoB])
l1_uni_inv.putBlock(l1_inv)
l1_uni_inv.setLabel([-1,1])
#print q_u.printDiagram()
q_u=q_u*l1_uni_inv
q_u.permute([2,4,5,-1],3)
q_u.setLabel([2,4,5,1])
X_u=X_u*l1_uni_inv*r1_uni_inv
X_u.permute([0,-1,-2],1)
X_u.setLabel([0,1,2])
##############################################
# X_tran_u.permute([0,2,1],1)
# lq2=X_tran_u.getBlock().lq()
# l2=lq2[0]
# l2_inv=l2.inverse()
# #print '1', distance_two(l2_inv, l1_inv)
# X_tran_u.permute([0,2,1],2)
# qr2=X_tran_u.getBlock().qr()
# r2=qr2[1]
# r2_inv=r2.inverse()
# #print '2', distance_two(r2_inv, r1_inv)
# r2_uni_inv=uni10.UniTensor([bdiB,bdoB])
# r2_uni_inv.putBlock(r2_inv)
# r2_uni_inv.setLabel([1,-2])
#
# l2_uni_inv=uni10.UniTensor([bdiB,bdoB])
# l2_uni_inv.putBlock(l2_inv)
# l2_uni_inv.setLabel([-1,0])
#
# X_tran_u=X_tran_u*l2_uni_inv*r2_uni_inv
# X_tran_u.permute([-1,-2,2],2)
# X_tran_u.setLabel([-1,-2,0])
X_tran_u=copy.copy(X_u)
X_tran_u.transpose()
X_tran_u.setLabel([-1,-2,0])
#################################################
#print l2.similar(l1)
#print r2.similar(r1)
# A=copy.copy(X_tran_u)
# A.transpose()
# dis=distance_two(X_u.getBlock(), A.getBlock())
# print 'hi', X_u.similar(A), dis
#
N=X_tran_u*X_u
N.permute([1,-1,2,-2],2)
r1_uni=uni10.UniTensor([bdiB,bdoB])
r1_uni.putBlock(r1)
l1_uni=uni10.UniTensor([bdiB,bdoB])
l1_uni.putBlock(l1)
#print l, r
l1_uni.setLabel([1,0])
r=r*l1_uni
r.permute([3,20,0],2)
r.setLabel([3,20,1])
r_d=copy.copy(r)
r_d.setLabel([-3,-20,-1])
r1_uni.setLabel([0,2])
l=r1_uni*l
l.permute([0,40,3],2)
l.setLabel([2,40,3])
l_d=copy.copy(l)
l_d.setLabel([-2,-40,-3])
#A=(r*r_d)*U*(l*l_d)*N
#print 'test', A[0]
# A=X_u*r*l*X_tran_u*r_d*l_d
# #print A, Tes1
# dis=distance_two(A.getBlock(),Tes1.getBlock() )
lp=copy.copy(l)
rp=copy.copy(r)
lp_d=copy.copy(l_d)
rp_d=copy.copy(r_d)
rp_d.setLabel([-3,-20,-1])
lp_d.setLabel([-2,-40,-3])
#######################################################
U.setLabel([-20,-40,20,40])
lp=copy.copy(l)
rp=copy.copy(r)
#lp.setLabel([1,40,-3])
Teta=U*lp*rp
Teta.permute([1,-20,2,-40],2)
svd=Teta.getBlock().svd()
s=Sqrt(svd[1])
U=svd[0]*s
V=s*svd[2]
U.resize(U.row(),rp.bond()[0].dim() )
V.resize(rp.bond()[0].dim(), V.col())
rp=uni10.UniTensor([bdiB, bdi_pys, bdo ])
rp.putBlock(U)
rp.setLabel([1,20,3])
rp.permute([3,20,1],2)
lp=uni10.UniTensor([ bdi, bdoB, bdi_pyso])
lp.putBlock(V)
lp.setLabel([3,2,40])
lp.permute([2,40,3],2)
lp_d=copy.copy(lp)
rp_d=copy.copy(rp)
rp_d.setLabel([-3,-20,-1])
lp_d.setLabel([-2,-40,-3])
##########################################################
a_u=q_u*r
a_u.permute([20,4,5,3,2],3)
b_u=qq_u*l
b_u.permute([40,3,4,5,6],3)
return lp, rp, lp_d, rp_d, N, l, r, l_d, r_d, q_u, qq_u, a_u, b_u