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arxiv 1103.2286 v3 pith:4PB3DPNR submitted 2011-03-11 quant-ph cond-mat.stat-mechcond-mat.str-el

Variational matrix product ansatz for dispersion relations

Jutho Haegeman , Bogdan Pirvu , David J. Weir , J. Ignacio Cirac , Tobias J. Osborne , Henri Verschelde , Frank Verstraete This is my paper
classification quant-ph cond-mat.stat-mechcond-mat.str-el
keywords ansatzvariationalantiferromagnetmatrixproductspin-1accurateallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation (cubic scaling in the bond dimension) of the variational principle. Unlike previous approaches, the ansatz includes topologically non-trivial states (kinks, domain walls) for systems with symmetry breaking. The method is benchmarked using the spin-1/2 XXZ antiferromagnet and the spin-1 Heisenberg antiferromagnet and we obtain surprisingly accurate results.

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