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Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

(2008) ADVANCES IN PHYSICS. 57(2). p.143-224
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Abstract
This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states and projected entangled pair states.
Keywords
DISSIPATIVE 2-STATE SYSTEM, DILUTE MAGNETIC-ALLOYS, MANY-BODY THEORIES, CLASSICAL-MODELS, FINITE SYSTEM, CHAIN, ANTIFERROMAGNETS, THERMODYNAMICS, TRANSITION, DYNAMICS, matrix product states, projected entangled pair states, numerical, renormalization group, density matrix renormalization group, entanglement, quantum spin chains, strongly correlated quantum systems

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Citation

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Chicago
Verstraete, Frank, V Murg, and JI Cirac. 2008. “Matrix Product States, Projected Entangled Pair States, and Variational Renormalization Group Methods for Quantum Spin Systems.” Advances in Physics 57 (2): 143–224.
APA
Verstraete, F., Murg, V., & Cirac, J. (2008). Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems. ADVANCES IN PHYSICS, 57(2), 143–224.
Vancouver
1.
Verstraete F, Murg V, Cirac J. Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems. ADVANCES IN PHYSICS. 2008;57(2):143–224.
MLA
Verstraete, Frank, V Murg, and JI Cirac. “Matrix Product States, Projected Entangled Pair States, and Variational Renormalization Group Methods for Quantum Spin Systems.” ADVANCES IN PHYSICS 57.2 (2008): 143–224. Print.
@article{8589270,
  abstract     = {This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states and projected entangled pair states.},
  author       = {Verstraete, Frank and Murg, V and Cirac, JI},
  issn         = {0001-8732},
  journal      = {ADVANCES IN PHYSICS},
  keywords     = {DISSIPATIVE 2-STATE SYSTEM,DILUTE MAGNETIC-ALLOYS,MANY-BODY THEORIES,CLASSICAL-MODELS,FINITE SYSTEM,CHAIN,ANTIFERROMAGNETS,THERMODYNAMICS,TRANSITION,DYNAMICS,matrix product states,projected entangled pair states,numerical,renormalization group,density matrix renormalization group,entanglement,quantum spin chains,strongly correlated quantum systems},
  language     = {eng},
  number       = {2},
  pages        = {143--224},
  title        = {Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems},
  url          = {http://dx.doi.org/10.1080/14789940801912366},
  volume       = {57},
  year         = {2008},
}

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