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Quantum Physics

arXiv:1103.2286 (quant-ph)
[Submitted on 11 Mar 2011 (v1), last revised 28 Mar 2012 (this version, v3)]

Title:Variational matrix product ansatz for dispersion relations

Authors:Jutho Haegeman, Bogdan Pirvu, David J. Weir, J. Ignacio Cirac, Tobias J. Osborne, Henri Verschelde, Frank Verstraete
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Abstract: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.
Comments: Published version
Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el)
Cite as: arXiv:1103.2286 [quant-ph]
  (or arXiv:1103.2286v3 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.1103.2286
Journal reference: Phys. Rev. B 85, 100408(R) (2012)
Related DOI: https://doi.org/10.1103/PhysRevB.85.100408

Submission history

From: Jutho Haegeman [view email]
[v1] Fri, 11 Mar 2011 14:56:50 UTC (2,557 KB)
[v2] Thu, 1 Dec 2011 14:47:41 UTC (1,506 KB)
[v3] Wed, 28 Mar 2012 21:38:47 UTC (1,507 KB)
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