def runSpectrumComparisonWithSasha(self):
mu = 0.27
beta = 20
results = list()
u = 3
t = -1
r = 0.3
h = Hubbard([[-mu, t, t, r], [t, -mu, r, t], [t, r, -mu, t], [r, t, t, -mu]], u, verbose=False)
h.solve()
energies = list(h.eigenEnergies)
energiesSasha = numpy.loadtxt("spectrumSasha.dat")[:, 1]
self.assertEqual(len(energies), len(energiesSasha))
for j, eS in enumerate(energiesSasha):
energyFound = False
for i, e in enumerate(energies):
if equals(eS, e):
energyFound = True
del energies[i]
break
self.assertTrue(energyFound)
def runEigenstatesEquation(self):
mu = 0.27
beta = 20
results = list()
u = 3
t = -1
r = 0.3
h = Hubbard([[-mu, t, t, r], [t, -mu, r, t], [t, r, -mu, t], [r, t, t, -mu]], u, verbose=False)
h.solve()
hmatrix = h.matrix
statesMatrix = h.eigenStates.toarray()
for i in range(256):
e = h.eigenEnergies[i] + h.energyShift
ve = statesMatrix[:, i]
eve = hmatrix.dot(ve)
zeros = eve - e * ve
for zero in zeros:
self.assertTrue(
equals(zero, 0, rtol=1e-05, atol=1e-12)
) # max abs tolerance with scipy.linalg.eigh for that system
