def __init__(self,t,Delta,mu,nsite,periodic=False,manybody=True):
self.t,self.mu,self.Delta=t,mu,Delta
self.nsite=nsite
self.periodic=periodic
self.manybody=manybody
if manybody:
spaceconfig=SuperSpaceConfig(chorder([1,1,self.nsite,1]))
else:
spaceconfig=SpaceConfig(chorder([2,1,self.nsite,1]))
hgen=RHGenerator(spaceconfig=spaceconfig)
#define the operator of the system
hgen.register_params({
'-t':-self.t if not self.manybody else 2*self.t,
'Delta':self.Delta,
'-mu':-self.mu,
})
#define a structure and initialize bonds.
rlattice=Chain(N=nsite)
if periodic:
rlattice.usegroup(TranslationGroup(rlattice.N[:,newaxis]*rlattice.a,per=ones(1,dtype='bool')))
hgen.uselattice(rlattice)
b1s=rlattice.getbonds(1) #the nearest neighbor
#add the hopping term.
op_t1=op_simple_hopping(label='hop1',spaceconfig=spaceconfig,bonds=b1s)
hgen.register_operator(op_t1,param='-t')
op_n=op_simple_onsite(label='n',spaceconfig=spaceconfig)
hgen.register_operator(op_n,param='-mu')
#add the p-wave term
if not manybody:
op_d=op_on_bond(label='pp',spaceconfig=spaceconfig,mats=[(1j if b.bondv[0]>0 else -1j)*sy for b in b1s],bonds=b1s)
hgen.register_operator(op_d,param='Delta')
else:
op_d=sum([BBilinear(
index1=spaceconfig.c2ind(chorder([0,b.atom1,0])), #spin, atom orbit
index2=spaceconfig.c2ind(chorder([0,b.atom2,0])),
spaceconfig=spaceconfig,bondv=b.bondv,factor=1 if b.bondv[0]>0 else -1,indices_ndag=2) #spin, atom orbit
for b in b1s])
op_d=op_d+op_d.HC
hgen.register_operator(op_d,param='Delta')
self.hgen=hgen
self.qnumber='PM'
def test_nonint():
'''
Run vMPS for Heisenberg model.
'''
nsite=10
model=ChainN(t=1.,U=0.,nsite=nsite)
spaceconfig1=SuperSpaceConfig([1,2,1])
#exact result
h0=zeros([nsite,nsite])
fill_diagonal(h0[1:,:-1],1.); h0=h0+h0.T
e_=2*eigvalsh(h0)
e_exact=sum(e_[e_<0])
pdb.set_trace()
#run vmps
#generate a random mps as initial vector
bmg=SimpleBMG(spaceconfig=spaceconfig1,qstring='QM')
#k0=product_state(config=random.randint(0,2,nsite),hndim=2)
k0=product_state(config=repeat([1,2],nsite/2),hndim=spaceconfig1.hndim,bmg=bmg)
mpo=model.hchain.toMPO(bmg=bmg,method='direct')
#k0=product_state(config=repeat([0,2],nsite/2),hndim=model.spaceconfig.hndim,bmg=bmg)
#setting up the engine
vegn=VMPSEngine(H=mpo,k0=k0,eigen_solver='LC')
#check the label setting is working properly
assert_(all([ai.shape==(ai.labels[0].bm.N,ai.labels[1].bm.N,ai.labels[2].bm.N) for ai in vegn.ket.ML]))
assert_(all([ai.shape==(ai.labels[0].bm.N,ai.labels[1].bm.N,ai.labels[2].bm.N,ai.labels[3].bm.N) for ai in vegn.H.OL]))
#warm up
vegn.warmup(10)
vegn.eigen_solver='JD'
e,v=vegn.run(maxN=[40,60,80,100,100,100,100],which='SA',nsite_update=2,endpoint=(5,'->',0))
assert_almost_equal(e,e_exact,rtol=1e-4)
def test_inff(mode='save'):
'''
Run infinite vMPS for Heisenberg model.
'''
t=1.
U=100.
mu=U/2.
#generate a random mps as initial vector
spaceconfig1=SuperSpaceConfig([1,2,1])
bmg=SimpleBMG(spaceconfig=spaceconfig1,qstring='QM')
k0=product_state(config=array([1,2]),hndim=spaceconfig1.hndim,bmg=bmg)
model2=ChainN(t=t,U=U,nsite=2,mu=mu)
mpo2=model2.hchain.toMPO(bmg=bmg,method='direct')
model=ChainN(t=t,U=U,nsite=4,mu=mu)
mpo4=model.hchain.toMPO(bmg=bmg,method='direct')
mpo=model.hchain.toMPO(bmg=bmg,method='direct')
#setting up the engine
vegn=VMPSEngine(H=mpo2,k0=k0,eigen_solver='LC')
vegn.run(1)
#H2=mpo2.H
#print eigvalsh(H2)[0]
#print model2.hchain
#print model2.hchain.H()-mpo2.H
#pdb.set_trace()
filetoken='data/con_dump_U%s_t%s_mu%s'%(U,t,mu)
if mode=='save':
vegn.generative_run(HP=mpo4.OL[1:3],ngen=100,niter_inner=1,maxN=100,trunc_mps=True,which='SA')
vegn.con.dump_data(filetoken)
else:
vegn.con.load_data(filetoken)
pdb.set_trace()
def __init__(self, which='flat'):
self.which = which
self.set_rhofunc(which)
N = 45
Lambda = 3.0
zl = [1.0]
spaceconfig = SuperSpaceConfig([2, 1, 1])
wlist = get_wlist(w0=1e-12,
Nw=10000,
mesh_type='log',
Gap=0.1 if which == 'sc' else 0,
D=1.)
# map it to a sun model
tickers, discmodel = quick_map(wlist=wlist,
rhofunc=self.rhofunc,
N=N,
z=zl,
tick_params={
'tick_type': 'adaptive',
'Lambda': Lambda
})
# map it to a Wilson chain
self.baths = map2chain(discmodel)
self.scales = [ticker2scale(tickers, N, z) for z in zl]
expander = RGHGen(H=self.baths[0],
spaceconfig=spaceconfig,
evolutor_type='null')
def __init__(self,t,t2=0,U=0,mu=0.,occ=True,nsite=6):
self.t,self.t2,self.U,self.mu=t,t2,U,mu
self.occ=occ
self.nsite=nsite
#occupation representation will use <SuperSpaceConfig>, otherwise <SpaceConfig>.
if self.occ:
spaceconfig=SuperSpaceConfig([nsite,2,1])
else:
spaceconfig=SpaceConfig([2,nsite,1],kspace=False)
if abs(U)>0: warnings.warn('U is ignored in non-occupation representation.')
hgen=RHGenerator(spaceconfig=spaceconfig)
#define the operator of the system
hgen.register_params({
'-t1':-self.t,
'-t2':-self.t2,
'U':self.U,
'-mu':-self.mu,
})
#define a structure and initialize bonds.
rlattice=Chain(N=nsite)
hgen.uselattice(rlattice)
b1s=rlattice.getbonds(1) #the nearest neighbor
b2s=rlattice.getbonds(2) #the nearest neighbor
#add the hopping term.
op_t1=op_simple_hopping(label='hop1',spaceconfig=spaceconfig,bonds=b1s)
hgen.register_operator(op_t1,param='-t1')
op_t2=op_simple_hopping(label='hop2',spaceconfig=spaceconfig,bonds=b2s)
hgen.register_operator(op_t2,param='-t2')
op_n=op_simple_onsite(label='n',spaceconfig=spaceconfig)
hgen.register_operator(op_n,param='-mu')
#add the hubbard interaction term if it is in the occupation number representation.
if self.occ:
op_ninj=op_U(label='ninj',spaceconfig=spaceconfig)
hgen.register_operator(op_ninj,param='U')
self.hgen=hgen
spaceconfig1=SuperSpaceConfig([1,2,1])
self.hchain=op2collection(op=self.hgen.get_opH())
insert_Zs(self.hchain,spaceconfig=spaceconfig1)
def set_params(self, U=0., t=1., mu=0.1, t2=0., nsite=6):
'''Set the parameters.'''
self.t, self.U, self.t2, self.mu = t, U, t2, mu
self.model_exact = ChainN(t=t,
U=0,
t2=t2,
mu=mu,
occ=False,
nsite=nsite)
self.model_occ = ChainN(t=t, U=U, t2=t2, mu=mu, occ=True, nsite=nsite)
scfg = self.model_occ.hgen.spaceconfig
self.spaceconfig1 = SuperSpaceConfig(
chorder([1, scfg.nspin, scfg.norbit]))
def test_int():
'''
Run vMPS for Heisenberg model.
'''
nsite=32
U=10.0
model=ChainN(t=1.,U=U,mu=U/2.,nsite=nsite)
spaceconfig1=SuperSpaceConfig([1,2,1])
#EG,mps=self.dmrgrun(model)
#run vmps
#generate a random mps as initial vector
bmg=SimpleBMG(spaceconfig=spaceconfig1,qstring='QM')
#k0=product_state(config=random.randint(0,2,nsite),hndim=2)
k0=product_state(config=repeat([1,2],nsite/2),hndim=spaceconfig1.hndim,bmg=bmg)
#mpo=model.hchain.toMPO(bmg=bmg,method='addition').compress(kernel='ldu')[0]
#mpo.eliminate_zeros(1e-8)
mpo=model.hchain.toMPO(bmg=bmg,method='direct')
#mpo3=model.hchain.toMPO(bmg=bmg,method='direct').compress(kernel='ldu')[0]
#mpo4=model.hchain.toMPO(bmg=bmg,method='direct').compress(kernel='dpl')[0]
#k0=product_state(config=repeat([0,2],nsite/2),hndim=model.spaceconfig.hndim,bmg=bmg)
#warm up the engine
#vegn=VMPSEngine(H=mpo,k0=k0,eigen_solver='LC')
#vegn.warmup(12)
#generative run
model2=ChainN(t=1,U=U,mu=U/2.,nsite=2)
k02=product_state(config=array([1,2]),hndim=spaceconfig1.hndim,bmg=bmg)
mpo2=model2.hchain.toMPO(bmg=bmg,method='direct')
vegn=VMPSEngine(H=mpo2,k0=k02,eigen_solver='LC')
vegn.generative_run(HP=mpo.OL[1:3],ngen=nsite/2-1,niter_inner=1,maxN=50,trunc_mps=False,which='SA')
vegn.run(6,maxN=[40,50,50,50,50,50,50])
#vegn.run(maxN=80,which='SA',nsite_update=1,endpoint=(3,'->',0))
pdb.set_trace()
def __init__(self,t,mu,K1,K2,nsite,U=0.,periodic=False,use_sx=True):
self.t,self.mu,self.K1,self.K2,self.U=t,mu,K1,K2,U
self.nsite=nsite
self.periodic=periodic
self.use_sx=use_sx
spaceconfig=SuperSpaceConfig(chorder([1,2,self.nsite,1]))
hgen=RHGenerator(spaceconfig=spaceconfig)
#define the operator of the system
hgen.register_params({
'-t':-self.t,
'K1':self.K1,
'K2':self.K2,
'-mu':-self.mu,
'U':self.U
})
#define a structure and initialize bonds.
rlattice=Chain(N=nsite)
if periodic:
rlattice.usegroup(TranslationGroup(rlattice.N[:,newaxis]*rlattice.a,per=ones(1,dtype='bool')))
hgen.uselattice(rlattice)
b1s=rlattice.getbonds(1) #the nearest neighbor
#add the hopping term.
op_t1=op_simple_hopping(label='hop1',spaceconfig=spaceconfig,bonds=b1s)
hgen.register_operator(op_t1,param='-t')
op_n=op_simple_onsite(label='n',spaceconfig=spaceconfig)
hgen.register_operator(op_n,param='-mu')
op_nn=op_U(spaceconfig=spaceconfig)
hgen.register_operator(op_nn,param='U')
#add the interaction term
ql1=[]
op_K1=sum([Qlinear(indices=array([
spaceconfig.c2ind(chorder([0,i%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([1,i%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([1,(i+1)%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([0,(i+1)%nsite,0]))]),spaceconfig=spaceconfig) #spin, atom orbit
for i in xrange(nsite if periodic else nsite-1)])
op_K1=op_K1+op_K1.HC
op_K1.label='K1'
hgen.register_operator(op_K1,param='K1')
op_K2=sum([Qlinear(indices=array([
spaceconfig.c2ind(chorder([0,i%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([0,(i+1)%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([1,(i+1)%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([1,i%nsite,0]))]),spaceconfig=spaceconfig) #spin, atom orbit
for i in xrange(nsite if periodic else nsite-1)])
op_K2=op_K2+op_K2.HC
if self.use_sx:
op_K2+=sum([Qlinear(indices=array([
spaceconfig.c2ind(chorder([0,i%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([1,(i+1)%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([0,(i+1)%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([1,i%nsite,0]))]),spaceconfig=spaceconfig) #spin, atom orbit
for i in xrange(nsite if periodic else nsite-1)])
op_K2+=sum([Qlinear(indices=array([
spaceconfig.c2ind(chorder([1,i%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([0,(i+1)%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([1,(i+1)%nsite,0])), #spin, atom orbit
spaceconfig.c2ind(chorder([0,i%nsite,0]))]),spaceconfig=spaceconfig) #spin, atom orbit
for i in xrange(nsite if periodic else nsite-1)])
op_K2.label='K2'
hgen.register_operator(op_K2,param='K2')
self.hgen=hgen
self.qnumber='QR' if K2!=0 else 'QM'
def test_H0(self):
spaceconfig = SuperSpaceConfig([2, 1, 1])
ed, Bz = 0.2, 0.3
imp = AndersomImp(U=1., ed=ed, Bz=Bz)
assert_allcose(imp.H0, ed * identity(2) + Bz * sz)