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Post-matrix product state methods : to tangent space and beyond

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Abstract
We develop in full detail the formalism of tangent states to the manifold of matrix product states, and show how they naturally appear in studying time evolution, excitations, and spectral functions. We focus on the case of systems with translation invariance in the thermodynamic limit, where momentum is a well-defined quantum number. We present some illustrative results and discuss analogous constructions for other variational classes. We also discuss generalizations and extensions beyond the tangent space, and give a general outlook towards post-matrix product methods.
Keywords
QUANTUM RENORMALIZATION-GROUPS, BOND GROUND-STATES, DYNAMICAL CORRELATION-FUNCTIONS, ANTIFERROMAGNETISM, SYSTEMS, SPECTRAL GAP, HEISENBERG MODELS, LIQUID-HELIUM, EXPONENTIAL OPERATORS, SPIN CHAINS

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Citation

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MLA
Haegeman, Jutho, Tobias J Osborne, and Frank Verstraete. “Post-matrix Product State Methods : to Tangent Space and Beyond.” PHYSICAL REVIEW B 88.7 (2013): n. pag. Print.
APA
Haegeman, J., Osborne, T. J., & Verstraete, F. (2013). Post-matrix product state methods : to tangent space and beyond. PHYSICAL REVIEW B, 88(7).
Chicago author-date
Haegeman, Jutho, Tobias J Osborne, and Frank Verstraete. 2013. “Post-matrix Product State Methods : to Tangent Space and Beyond.” Physical Review B 88 (7).
Chicago author-date (all authors)
Haegeman, Jutho, Tobias J Osborne, and Frank Verstraete. 2013. “Post-matrix Product State Methods : to Tangent Space and Beyond.” Physical Review B 88 (7).
Vancouver
1.
Haegeman J, Osborne TJ, Verstraete F. Post-matrix product state methods : to tangent space and beyond. PHYSICAL REVIEW B. 2013;88(7).
IEEE
[1]
J. Haegeman, T. J. Osborne, and F. Verstraete, “Post-matrix product state methods : to tangent space and beyond,” PHYSICAL REVIEW B, vol. 88, no. 7, 2013.
@article{4143125,
  abstract     = {We develop in full detail the formalism of tangent states to the manifold of matrix product states, and show how they naturally appear in studying time evolution, excitations, and spectral functions. We focus on the case of systems with translation invariance in the thermodynamic limit, where momentum is a well-defined quantum number. We present some illustrative results and discuss analogous constructions for other variational classes. We also discuss generalizations and extensions beyond the tangent space, and give a general outlook towards post-matrix product methods.},
  articleno    = {075133},
  author       = {Haegeman, Jutho and Osborne, Tobias J and Verstraete, Frank},
  issn         = {1098-0121},
  journal      = {PHYSICAL REVIEW B},
  keywords     = {QUANTUM RENORMALIZATION-GROUPS,BOND GROUND-STATES,DYNAMICAL CORRELATION-FUNCTIONS,ANTIFERROMAGNETISM,SYSTEMS,SPECTRAL GAP,HEISENBERG MODELS,LIQUID-HELIUM,EXPONENTIAL OPERATORS,SPIN CHAINS},
  language     = {eng},
  number       = {7},
  pages        = {35},
  title        = {Post-matrix product state methods : to tangent space and beyond},
  url          = {http://dx.doi.org/10.1103/PhysRevB.88.075133},
  volume       = {88},
  year         = {2013},
}

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