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Variational method for integrability-breaking Richardson-Gaudin models

(2017) PHYSICAL REVIEW B. 96(15).
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Abstract
We present a variational method for approximating the ground state of spin models close to (RichardsonGaudin) integrability. This is done by variationally optimizing eigenstates of integrable Richardson-Gaudin models, where the toolbox of integrability allows for an efficient evaluation and minimization of the energy functional. The method is shown to return exact results for integrable models and improve substantially on perturbation theory for models close to integrability. For large integrability-breaking interactions, it is shown how(avoided) level crossings necessitate the use of excited states of integrable Hamiltonians in order to accurately describe the ground states of general nonintegrable models.
Keywords
ALGEBRAIC BETHE-ANSATZ, CLASSICAL R-MATRICES, NONORTHOGONAL GEMINALS, METALLIC GRAINS, MAGNETIC-FIELD, ANTISYMMETRIC PRODUCTS, FORM-FACTORS, SPIN CHAINS, SYSTEMS, ELECTRONS

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Chicago
Claeys, Pieter, Jean-Sébastien Caux, Dimitri Van Neck, and Stijn De Baerdemacker. 2017. “Variational Method for Integrability-breaking Richardson-Gaudin Models.” Physical Review B 96 (15).
APA
Claeys, Pieter, Caux, J.-S., Van Neck, D., & De Baerdemacker, S. (2017). Variational method for integrability-breaking Richardson-Gaudin models. PHYSICAL REVIEW B, 96(15).
Vancouver
1.
Claeys P, Caux J-S, Van Neck D, De Baerdemacker S. Variational method for integrability-breaking Richardson-Gaudin models. PHYSICAL REVIEW B. 2017;96(15).
MLA
Claeys, Pieter, Jean-Sébastien Caux, Dimitri Van Neck, et al. “Variational Method for Integrability-breaking Richardson-Gaudin Models.” PHYSICAL REVIEW B 96.15 (2017): n. pag. Print.
@article{8537775,
  abstract     = {We present a variational method for approximating the ground state of spin models close to (RichardsonGaudin) integrability. This is done by variationally optimizing eigenstates of integrable Richardson-Gaudin models, where the toolbox of integrability allows for an efficient evaluation and minimization of the energy functional. The method is shown to return exact results for integrable models and improve substantially on perturbation theory for models close to integrability. For large integrability-breaking interactions, it is shown how(avoided) level crossings necessitate the use of excited states of integrable Hamiltonians in order to accurately describe the ground states of general nonintegrable models.},
  articleno    = {155149},
  author       = {Claeys, Pieter and Caux, Jean-S{\'e}bastien and Van Neck, Dimitri and De Baerdemacker, Stijn},
  issn         = {2469-9950},
  journal      = {PHYSICAL REVIEW B},
  keyword      = {ALGEBRAIC BETHE-ANSATZ,CLASSICAL R-MATRICES,NONORTHOGONAL GEMINALS,METALLIC GRAINS,MAGNETIC-FIELD,ANTISYMMETRIC PRODUCTS,FORM-FACTORS,SPIN CHAINS,SYSTEMS,ELECTRONS},
  language     = {eng},
  number       = {15},
  pages        = {14},
  title        = {Variational method for integrability-breaking Richardson-Gaudin models},
  url          = {http://dx.doi.org/10.1103/physrevb.96.155149},
  volume       = {96},
  year         = {2017},
}

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