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basicitebd.py
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import pyUni10 as uni10
import sys
import numpy as np
import matplotlib.pyplot as plt
import matplotlib
import pylab
import random
import copy
import time
import Move
def corner_transfer_matrix_twosite(a,b,c,d,chi,c1, c2,c3,c4,Ta1, Tb1,Ta2, Tb2,Ta3, Tb3,Ta4, Tb4,D):
z1=copy.copy(a)
z1.randomize()
Accuracy=1.00e-9
Truncation=[0]
E0=20.00
E1=10.00
Loop_iter=0
count=0
while Loop_iter is 0:
c1, Ta4, Tb4, c4=Move.add_left(c1,Tb4,Ta4,c4,Tb1,Ta3,a,c,chi,D)
c1, Ta4, Tb4, c4=Move.add_left(c1,Tb4,Ta4,c4,Ta1,Tb3,b,d,chi,D)
c2, Ta2, Tb2, c3=Move.add_right(c2,Ta2,Tb2,c3,Ta1,Tb3,b,d,chi,D)
c2, Ta2, Tb2, c3=Move.add_right(c2,Ta2,Tb2,c3,Tb1,Ta3,a,c,chi,D)
Move.permute(a, b,c,d ,c1, c2,c3,c4,Ta1, Tb1,Ta2, Tb2,Ta3, Tb3,Ta4, Tb4)
c1, Ta1, Tb1, c2=Move.add_left(c1,Tb1,Ta1,c2,Tb4,Ta2,a,b,chi,D)
c1, Ta1, Tb1, c2=Move.add_left(c1,Tb1,Ta1,c2,Ta4,Tb2,c,d,chi,D)
c4, Ta3, Tb3, c3=Move.add_right(c4,Ta3,Tb3,c3,Ta4,Tb2,c,d,chi,D)
c4, Ta3, Tb3, c3=Move.add_right(c4,Ta3,Tb3,c3,Tb4,Ta2,a,b,chi,D)
Move.permute( a, b, c, d ,c1, c2,c3,c4,Ta1, Tb1,Ta2, Tb2,Ta3, Tb3,Ta4, Tb4)
c1,c2,c3,c4,Ta1,Tb1,Ta2,Tb2,Ta3,Tb3,Ta4,Tb4=Move.test_env_Ten(c1,c2,c3,c4,Ta1,Tb1,Ta2,Tb2,Ta3,Tb3,Ta4,Tb4)
norm=Move.magnetization_value(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,a,b,c,d)
norm1=Move.magnetization_value(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,z1,b,c,d)
E0=E1
if (abs(norm[0]) > 1.00e-10):
E1=abs(norm1[0])/abs(norm[0])
if (abs((E0-E1)/E0) < Accuracy):Loop_iter=1;
else:
E1=abs(norm1[0])
if (abs((E0-E1)) < Accuracy) : print 'Warning: norm~0', E1; Loop_iter=1;
count+=1
if (count > 20 ): print 'break! CTM'; break;
#print E1, abs((E0-E1)/E1), count
#print E1, Truncation[0], abs((E0-E1)/E1)
#print a.norm(), b.norm(), c.norm(), d.norm()
#print abs(norm1[0]+norm2[0]+norm3[0]+norm4[0])/abs(4.00*norm[0]), Truncation[0]
#print 'hi', Tb1
return c1, c2,c3,c4,Ta1, Tb1,Ta2, Tb2,Ta3, Tb3,Ta4, Tb4
def z_value(a,b,c,d,az,bz,cz,dz,chi,D,c1, c2,c3,c4,Ta1, Tb1,Ta2, Tb2,Ta3, Tb3,Ta4, Tb4):
z1=copy.copy(az)
z2=copy.copy(bz)
z3=copy.copy(cz)
z4=copy.copy(dz)
Truncation=[0]
norm=Move.magnetization_value(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,a,b,c,d)
norm1=Move.magnetization_value(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,z1,b,c,d)
norm2=Move.magnetization_value(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,a,z2,c,d)
norm3=Move.magnetization_value(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,a,b,z3,d)
norm4=Move.magnetization_value(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,a,b,c,z4)
print abs(norm1[0])/abs(1.00*norm[0]), abs(norm2[0])/abs(1.00*norm[0])
return abs(norm1[0]+norm2[0]+norm3[0]+norm4[0])/abs(4.00*norm[0])
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 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 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 makeab(Landa,Gamma):
Landa_cp=[ copy.copy(Landa[i]) for i in xrange(len(Landa)) ]
Landa_sq=sqrt(Landa_cp)
a_u=copy.copy(Gamma)
a_d=copy.copy(Gamma)
Landa_sq[0].setLabel([1,-1])
Landa_sq[1].setLabel([2,-2])
Landa_sq[2].setLabel([3,-3])
Landa_sq[3].setLabel([4,-4])
a_u.setLabel([0,1,2,3,4])
a_d.setLabel([0,1,2,3,4])
a_u=a_u*(Landa_sq[0]*Landa_sq[1]*Landa_sq[2]*Landa_sq[3])
a_d=a_d*(Landa_sq[0]*Landa_sq[1]*Landa_sq[2]*Landa_sq[3])
a_u.permute([0,-1,-2,-3,-4],3)
a_d.permute([0,-1,-2,-3,-4],3)
a_u.setLabel([0,1,2,3,4])
a_d.setLabel([0,-1,-2,-3,-4])
a=a_u*a_d
a.combineBond([1,-1])
a.combineBond([2,-2])
a.combineBond([3,-3])
a.combineBond([4,-4])
a.permute([1,2,3,4],2)
return a_u, a
def sqrt(Landa):
Landa_cp=[ copy.copy(Landa[i]) for i in xrange(len(Landa)) ]
for q in xrange(len(Landa_cp)):
D=Landa_cp[q].bond()[0].dim()
Landa_cpm=Landa_cp[q].getBlock()
Landam=Landa[q].getBlock()
for i in xrange(D):
for j in xrange(D):
Landa_cpm[i*D+j]=Landam[i*D+j]**(1.00/2.00)
Landa_cp[q].putBlock(Landa_cpm)
return Landa_cp
def inverse(Landa2):
invLanda2=uni10.UniTensor(Landa2.bond())
invL2 = uni10.Matrix(Landa2.bond()[0].dim(), Landa2.bond()[1].dim())
D=Landa2.bond()[0].dim()
for i in xrange(Landa2.bond()[0].dim()):
for j in xrange(Landa2.bond()[0].dim()):
invL2[i*D+j] = 0 if ((Landa2[i*D+j].real) < 1.0e-12) else (1.00 / (Landa2[i*D+j].real))
invLanda2.putBlock(invL2)
return invLanda2
def Initialize_function(Gamma,Landa):
for i in xrange(len(Gamma)):
Gamma[i].randomize()
D=Gamma[0].bond(1).dim()
matrix_Iden=uni10.Matrix(D, D)
matrix_Iden.identity()
for i in xrange(len(Landa)):
Landa[i].putBlock(matrix_Iden)
def matSx():
spin = 0.5
dim = int(spin * 2 + 1)
return uni10.Matrix(dim, dim, [0.0, 1.0, 1.00, 0.0]);
def matSz():
spin = 0.5
dim = int(spin * 2 + 1)
return uni10.Matrix(dim, dim, [1.0, 0, 0, -1.0]);
def matSy():
spin = 0.5
dim = int(spin * 2 + 1)
return uni10.Matrix(dim, dim, [0.0, -1.00, 1.00, 0.00]);
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 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 update_rlink(Gamma,Landa,U,D,d_phys):
Gamma_a=copy.copy(Gamma[0])
Gamma_b=copy.copy(Gamma[1])
Gamma_a.setLabel([0,1,2,3,4])
Gamma_b.setLabel([5,6,7,8,9])
Hamiltonian=copy.copy(U)
Hamiltonian.setLabel([10,11,0,5])
Landa1=copy.copy(Landa[0])
Landa2=copy.copy(Landa[1])
Landa3=copy.copy(Landa[2])
Landa4=copy.copy(Landa[3])
Landa5=copy.copy(Landa[4])
Landa6=copy.copy(Landa[5])
Landa7=copy.copy(Landa[6])
Landa8=copy.copy(Landa[7])
Landa3p=copy.copy(Landa[2])
Landa1.setLabel([3,6])
Landa2.setLabel([2,-2])
Landa3.setLabel([1,-1])
Landa4.setLabel([4,-4])
Landa8.setLabel([9,-9])
Landa3p.setLabel([8,-8])
Landa7.setLabel([7,-7])
Tem_tensor=Gamma_a*(Landa1*Landa2*Landa3*Landa4)
Tem_tensor2=Gamma_b*(Landa8*Landa3p*Landa7)
Theta=(Hamiltonian*Tem_tensor)*Tem_tensor2
Theta.permute([10,-1,-2,-4,11,-7,-8,-9],4)
##printTheta.printDiagram()
svd1=Theta.getBlock()
svd = svd1.svd()
#svd = Theta.getBlock().svd()
# Truncation
sv = svd[1]
Sum=0
for i in xrange(sv.row()):
if (i>=D):
Sum=sv[i]+Sum
#print'truncation=', Sum
norm = sv.resize(D, D)
norm=norm.norm()
sv *= 1.00 / norm
#print'norm=', norm
Landa[0].putBlock(sv)
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)
GsA=uni10.UniTensor([bdi_pys,bdi,bdi,bdi,bdo], "GsA")
GsB=uni10.UniTensor([bdi,bdi_pyso,bdo,bdo,bdo], "GsB")
GsA.setLabel([10,-1,-2,-4,3])
GsB.setLabel([6,11,-7,-8,-9])
GsA.putBlock(svd[0].resize(svd[0].row(), D))
GsB.putBlock(svd[2].resize(D, svd[2].col()))
##printGsA.printDiagram(),GsB.printDiagram()
# GsA.permute([10,-1,-2,3,-4],3)
# GsB.permute([11,6,-7,-8,-9],3)
invLanda2=inverse(Landa2)
invLanda3=inverse(Landa3)
invLanda4=inverse(Landa4)
invLanda2.setLabel([-2,2])
invLanda3.setLabel([-1,1])
invLanda4.setLabel([-4,4])
GsA=GsA*(invLanda2*invLanda3*invLanda4)
invLanda8=inverse(Landa8)
invLanda3=inverse(Landa3)
invLanda7=inverse(Landa7)
invLanda8.setLabel([-9,9])
invLanda3.setLabel([-8,8])
invLanda7.setLabel([-7,7])
GsB=GsB*(invLanda8*invLanda3*invLanda7)
##print'identity', invLanda4.getBlock()*Landa4.getBlock()
##print'identity', invLanda3.getBlock()*Landa3.getBlock()
##print'identity', invLanda2.getBlock()*Landa2.getBlock()
GsA.permute([10,1,2,3,4],3)
GsB.permute([11,6,7,8,9],3)
GsA.setLabel([0,1,2,3,4])
GsB.setLabel([0,1,2,3,4])
Gamma[0].putBlock(GsA.getBlock())
Gamma[1].putBlock(GsB.getBlock())
Gamma[0]*=(1.00/Gamma[0].norm())
Gamma[1]*=(1.00/Gamma[1].norm())
##printGamma[0].printDiagram(), Gamma[1].printDiagram()
#Gs[A].permute([-1, 3, 1], 1)
#bondrm(Gs[A], Ls[B], 0)
#bondrm(Gs[B], Ls[B], 1)
def update_ulink(Gamma,Landa,U,D,d_phys):
Gamma_a=copy.copy(Gamma[0])
Gamma_b=copy.copy(Gamma[1])
Gamma_a.setLabel([0,1,2,3,4])
Gamma_b.setLabel([5,6,7,8,9])
Hamiltonian=copy.copy(U)
Hamiltonian.setLabel([10,11,0,5])
Landa1=copy.copy(Landa[0])
Landa2=copy.copy(Landa[1])
Landa3=copy.copy(Landa[2])
Landa4=copy.copy(Landa[3])
Landa5=copy.copy(Landa[4])
Landa6=copy.copy(Landa[5])
Landa7=copy.copy(Landa[6])
Landa8=copy.copy(Landa[7])
Landa4p=copy.copy(Landa[3])
Landa1.setLabel([3,-3])
Landa2.setLabel([2,9])
Landa3.setLabel([1,-1])
Landa4.setLabel([4,-4])
Landa5.setLabel([6,-6])
Landa4p.setLabel([7,-7])
Landa6.setLabel([8,-8])
Tem_tensor=Gamma_a*(Landa1*Landa2*Landa3*Landa4)
Tem_tensor2=Gamma_b*(Landa5*Landa4p*Landa6)
Theta=(Hamiltonian*Tem_tensor)*Tem_tensor2
Theta.permute([10,-1,-3,-4,11,-6,-7,-8],4)
##printTheta.printDiagram()
svd1=Theta.getBlock()
svd = svd1.svd()
#svd = Theta.getBlock().svd()
# Truncation
sv = svd[1]
Sum=0
for i in xrange(sv.row()):
if (i>=D):
Sum=sv[i]+Sum
#print'truncation=', Sum
norm = sv.resize(D, D)
norm=norm.norm()
sv *= 1.00 / norm
#print'norm=', norm
Landa[1].putBlock(sv)
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)
GsA=uni10.UniTensor([bdi_pys,bdi,bdi,bdi,bdo], "GsA")
GsB=uni10.UniTensor([bdi,bdi_pyso,bdo,bdo,bdo], "GsB")
GsA.setLabel([10,-1,-3,-4,2])
GsB.setLabel([9,11,-6,-7,-8])
GsA.putBlock(svd[0].resize(svd[0].row(), D))
GsB.putBlock(svd[2].resize(D, svd[2].col()))
##printGsA.printDiagram(),GsB.printDiagram()
# GsA.permute([10,-1,-2,3,-4],3)
# GsB.permute([11,6,-7,-8,-9],3)
invLanda1=inverse(Landa1)
invLanda3=inverse(Landa3)
invLanda4=inverse(Landa4)
invLanda1.setLabel([-3,3])
invLanda3.setLabel([-1,1])
invLanda4.setLabel([-4,4])
GsA=GsA*(invLanda1*invLanda3*invLanda4)
invLanda4=inverse(Landa4)
invLanda6=inverse(Landa6)
invLanda5=inverse(Landa5)
invLanda4.setLabel([-7,7])
invLanda5.setLabel([-6,6])
invLanda6.setLabel([-8,8])
GsB=GsB*(invLanda5*invLanda4*invLanda6)
##print'identity', invLanda4.getBlock()*Landa4.getBlock()
##print'identity', invLanda3.getBlock()*Landa3.getBlock()
##print'identity', invLanda2.getBlock()*Landa2.getBlock()
GsA.permute([10,1,2,3,4],3)
GsB.permute([11,6,7,8,9],3)
GsA.setLabel([0,1,2,3,4])
GsB.setLabel([0,1,2,3,4])
Gamma[0].putBlock(GsA.getBlock())
Gamma[1].putBlock(GsB.getBlock())
Gamma[0]*=(1.00/Gamma[0].norm())
Gamma[1]*=(1.00/Gamma[1].norm())
##printGamma[0].printDiagram(), Gamma[1].printDiagram()
#Gs[A].permute([-1, 3, 1], 1)
#bondrm(Gs[A], Ls[B], 0)
#bondrm(Gs[B], Ls[B], 1)
def update_rlink_eff(Gamma,Landa,U,D,d_phys):
Gamma_a=copy.copy(Gamma[0])
Gamma_b=copy.copy(Gamma[1])
Gamma_a.setLabel([0,1,2,3,4])
Gamma_b.setLabel([5,6,7,8,9])
Hamiltonian=copy.copy(U)
Hamiltonian.setLabel([10,11,0,5])
Landa1=copy.copy(Landa[0])
Landa2=copy.copy(Landa[1])
Landa3=copy.copy(Landa[2])
Landa4=copy.copy(Landa[3])
Landa5=copy.copy(Landa[4])
Landa6=copy.copy(Landa[5])
Landa7=copy.copy(Landa[6])
Landa8=copy.copy(Landa[7])
Landa3p=copy.copy(Landa[2])
Landa1.setLabel([3,6])
Landa2.setLabel([2,-2])
Landa3.setLabel([1,-1])
Landa4.setLabel([4,-4])
Landa8.setLabel([9,-9])
Landa3p.setLabel([8,-8])
Landa7.setLabel([7,-7])
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([-4,-1,-2,20])
r_uni.setLabel([20,0,3])
Left=Gamma_a*(Landa2*Landa3*Landa4)
Left.permute([-4,-1,-2,0,3],3)
Left_m=Left.getBlock()
qr=Left_m.qr()
q_uni.putBlock(qr[0])
r_uni.putBlock(qr[1])
# q_unit=copy.copy(q_uni)
# q_unit.transpose()
# print '1', q_uni, q_uni, q_unit.getBlock()*q_uni.getBlock()
l_uni=uni10.UniTensor([bdi_pys,bdi,bdoB])
qq_uni=uni10.UniTensor([bdiB,bdo,bdo,bdo])
l_uni.setLabel([5,6,40])
qq_uni.setLabel([40,-7,-8,-9])
Right=Gamma_b*(Landa8*Landa3p*Landa7)
Right.permute([5,6,-7,-8,-9],2)
Right_m=Right.getBlock()
lq=Right_m.lq()
l_uni.putBlock(lq[0])
qq_uni.putBlock(lq[1])
#qqt_uni=copy.copy( qq_uni)
#qqt_uni.transpose()
#print '2', qq_uni, l_uni, qq_uni.getBlock()*qqt_uni.getBlock()
Theta=(r_uni*Landa1*Hamiltonian)*l_uni
Theta.permute([10,20,11,40],2)
##printTheta.printDiagram()
svd=Theta.getBlock()
svd = svd.svd()
sv = svd[1]
Sum=0
for i in xrange(sv.row()):
if (i>=D):
Sum=sv[i]+Sum
#print'truncation=', Sum
norm = sv.resize(D, D)
norm=norm.norm()
sv *= 1.00 / norm
#print'norm=', norm
Landa[0].putBlock(sv)
U=uni10.UniTensor([bdi_pys,bdiB,bdo], "U")
V=uni10.UniTensor([bdi,bdi_pyso,bdoB], "V")
U.setLabel([10,20,3])
V.setLabel([6,11,40])
#print svd[0].row()
U.putBlock(svd[0].resize(svd[0].row(), D))
V.putBlock(svd[2].resize(D, svd[2].col()))
GsA=U*q_uni
GsB=V*qq_uni
GsA.permute([10,-1,-2,3,-4],3)
GsB.permute([11,6,-7,-8,-9],3)
invLanda2=inverse(Landa2)
invLanda3=inverse(Landa3)
invLanda4=inverse(Landa4)
invLanda2.setLabel([-2,2])
invLanda3.setLabel([-1,1])
invLanda4.setLabel([-4,4])
GsA=GsA*(invLanda2*invLanda3*invLanda4)
invLanda8=inverse(Landa8)
invLanda3=inverse(Landa3)
invLanda7=inverse(Landa7)
invLanda8.setLabel([-9,9])
invLanda3.setLabel([-8,8])
invLanda7.setLabel([-7,7])
GsB=GsB*(invLanda8*invLanda3*invLanda7)
##print'identity', invLanda4.getBlock()*Landa4.getBlock()
##print'identity', invLanda3.getBlock()*Landa3.getBlock()
##print'identity', invLanda2.getBlock()*Landa2.getBlock()
GsA.permute([10,1,2,3,4],3)
GsB.permute([11,6,7,8,9],3)
GsA.setLabel([0,1,2,3,4])
GsB.setLabel([0,1,2,3,4])
Gamma[0].putBlock(GsA.getBlock())
Gamma[1].putBlock(GsB.getBlock())
Gamma[0]*=(1.00/Gamma[0].norm())
Gamma[1]*=(1.00/Gamma[1].norm())
##printGamma[0].printDiagram(), Gamma[1].printDiagram()
#Gs[A].permute([-1, 3, 1], 1)
#bondrm(Gs[A], Ls[B], 0)
#bondrm(Gs[B], Ls[B], 1)
def update_ulink_eff(Gamma,Landa,U,D,d_phys):
Gamma_a=copy.copy(Gamma[0])
Gamma_b=copy.copy(Gamma[1])
Gamma_a.setLabel([0,1,2,3,4])
Gamma_b.setLabel([5,6,7,8,9])
Hamiltonian=copy.copy(U)
Hamiltonian.setLabel([10,11,0,5])
Landa1=copy.copy(Landa[0])
Landa2=copy.copy(Landa[1])
Landa3=copy.copy(Landa[2])
Landa4=copy.copy(Landa[3])
Landa5=copy.copy(Landa[4])
Landa6=copy.copy(Landa[5])
Landa7=copy.copy(Landa[6])
Landa8=copy.copy(Landa[7])
Landa4p=copy.copy(Landa[3])
Landa1.setLabel([3,-3])
Landa2.setLabel([2,9])
Landa3.setLabel([1,-1])
Landa4.setLabel([4,-4])
Landa5.setLabel([6,-6])
Landa4p.setLabel([7,-7])
Landa6.setLabel([8,-8])
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([-4,-1,-3,20])
r_uni.setLabel([20,0,2])
Left=Gamma_a*(Landa1*Landa3*Landa4)
Left.permute([-4,-1,-3,0,2],3)
Left_m=Left.getBlock()
qr=Left_m.qr()
q_uni.putBlock(qr[0])
r_uni.putBlock(qr[1])
l_uni=uni10.UniTensor([bdi_pys,bdi,bdoB])
qq_uni=uni10.UniTensor([bdiB,bdo,bdo,bdo])
l_uni.setLabel([5,9,40])
qq_uni.setLabel([40,-7,-8,-6])
Right=Gamma_b*(Landa5*Landa4p*Landa6)
Right.permute([5,9,-7,-8,-6],2)
Right_m=Right.getBlock()
lq=Right_m.lq()
l_uni.putBlock(lq[0])
qq_uni.putBlock(lq[1])
#qqt_uni=copy.copy( qq_uni)
#qqt_uni.transpose()
#print '2', qq_uni, l_uni, qq_uni.getBlock()*qqt_uni.getBlock()
Theta=(r_uni*Landa2*Hamiltonian)*l_uni
Theta.permute([10,20,11,40],2)
svd1=Theta.getBlock()
svd = svd1.svd()
#svd = Theta.getBlock().svd()
# Truncation
sv = svd[1]
Sum=0
for i in xrange(sv.row()):
if (i>=D):
Sum=sv[i]+Sum
#print'truncation=', Sum
norm = sv.resize(D, D)
norm=norm.norm()
sv *= 1.00 / norm
#print'norm=', norm
Landa[1].putBlock(sv)
U=uni10.UniTensor([bdi_pys,bdiB,bdo], "U")
V=uni10.UniTensor([bdi,bdi_pyso,bdoB], "V")
U.setLabel([10,20,2])
V.setLabel([9,11,40])
#print svd[0].row()
U.putBlock(svd[0].resize(svd[0].row(), D))
V.putBlock(svd[2].resize(D, svd[2].col()))
GsA=U*q_uni
GsB=V*qq_uni
invLanda1=inverse(Landa1)
invLanda3=inverse(Landa3)
invLanda4=inverse(Landa4)
invLanda1.setLabel([-3,3])
invLanda3.setLabel([-1,1])
invLanda4.setLabel([-4,4])
GsA=GsA*(invLanda1*invLanda3*invLanda4)
invLanda4=inverse(Landa4)
invLanda6=inverse(Landa6)
invLanda5=inverse(Landa5)
invLanda4.setLabel([-7,7])
invLanda5.setLabel([-6,6])
invLanda6.setLabel([-8,8])
GsB=GsB*(invLanda5*invLanda4*invLanda6)
##print'identity', invLanda4.getBlock()*Landa4.getBlock()
##print'identity', invLanda3.getBlock()*Landa3.getBlock()
##print'identity', invLanda2.getBlock()*Landa2.getBlock()
GsA.permute([10,1,2,3,4],3)
GsB.permute([11,6,7,8,9],3)
GsA.setLabel([0,1,2,3,4])
GsB.setLabel([0,1,2,3,4])
Gamma[0].putBlock(GsA.getBlock())
Gamma[1].putBlock(GsB.getBlock())
Gamma[0]*=(1.00/Gamma[0].norm())
Gamma[1]*=(1.00/Gamma[1].norm())
##printGamma[0].printDiagram(), Gamma[1].printDiagram()
#Gs[A].permute([-1, 3, 1], 1)
#bondrm(Gs[A], Ls[B], 0)
#bondrm(Gs[B], Ls[B], 1)
def Energy_H(a_u,b_u,c_u,d_u,a,b,c,d,c1, c2,c3,c4,Ta1, Tb1,Ta2, Tb2,Ta3, Tb3,Ta4, Tb4,D,h,d_phys):
c1.setLabel([0,1])
Tb1.setLabel([1,2,3])
E1=c1*Tb1
E1.permute([0,2,3],2)
E1.setLabel([7,3,8])
c2.setLabel([1,0])
Ta1.setLabel([3,2,1])
E6=c2*Ta1
E6.permute([0,2,3],2)
E6.setLabel([9,6,8])
E5=Ta2
E5.setLabel([10,5,9])
E2=Tb4
E2.setLabel([12,13,7])
c3.setLabel([7,8])
Tb2.setLabel([7,15,22])
Tb3.setLabel([13,14,8])
d.setLabel([16,14,15,23])
E4=(((c3*Tb3)*Tb2)*d)
E4.combineBond([13,16])
E4.permute([13,23,22],2)
E4.setLabel([11,4,10])
c4.setLabel([11,10])
Ta4.setLabel([11,17,18])
Ta3.setLabel([10,12,13])
c.setLabel([17,12,16,19])
E3=(((c4*Ta4)*Ta3)*c)
E3.combineBond([13,16])
E3.permute([13,19,18],2)
E3.setLabel([11,1,12])
a.setLabel([13,1,2,3])
b.setLabel([2,4,5,6])
A=((((E3*E4)*(E2*a))*(b*E5))*(E1*E6))
print A[0]
norm=Move.magnetization_value(c1,c2,c3,c4,Ta1,Ta2,Ta3,Ta4,Tb1,Tb2,Tb3,Tb4,a,b,c,d)
print norm[0]
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])
a_u.setLabel([20,13,1,2,3])
a_d=copy.copy(a_u)
a_d.setLabel([20,-13,-1,-2,-3])
b_u.setLabel([40,2,4,5,6])
b_d=copy.copy(b_u)
b_d.setLabel([40,-2,-4,-5,-6])
A=((((E3*E4)*(E2*a_d*a_u))*(b_u*b_d*E5))*(E1*E6))
print A[0]
a_u.setLabel([20,13,1,2,3])
a_d.setLabel([-20,-13,-1,-2,-3])
b_u.setLabel([40,2,4,5,6])
b_d.setLabel([-40,-2,-4,-5,-6])
H0=Ham(h)
H0.setLabel([-20,-40,20,40])
#print a_u.printDiagram(), b_u.printDiagram()
B=((((E3*E4)*(E2*a_d*a_u))*(H0)*(b_u*b_d*E5))*(E1*E6))
print B[0]/A[0]
a_uc=copy.copy(a_u)
a_uc.permute([3,13,1,2,20],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([100,2,20])
q_uni.putBlock(qr[0])
r_uni.putBlock(qr[1])
b_uc=copy.copy(b_u)
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,-2,-20])
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=((((E3*E4)*(E2*q_uni*q_uni_d))*(qq_uni*qq_uni_d*E5))*(E1*E6))
N.permute([100,-100,200,-200],2)
A=(r_uni*r_uni_d)*H0*(l_uni*l_uni_d)
#print N.printDiagram(), A.printDiagram()
B=N*A
a_u.setLabel([20,13,1,2,3])
a_d=copy.copy(a_u)
a_d.setLabel([20,-13,-1,-2,-3])
b_u.setLabel([40,2,4,5,6])
b_d=copy.copy(b_u)
b_d.setLabel([40,-2,-4,-5,-6])
A=((((E3*E4)*(E2*a_d*a_u))*(b_u*b_d*E5))*(E1*E6))
print B[0]/A[0]
def Energy_V(a_u,b_u,c_u,d_u,a,b,c,d,c1, c2,c3,c4,Ta1, Tb1,Ta2, Tb2,Ta3, Tb3,Ta4, Tb4,D,h,d_phys):
c1.setLabel([0,1])