Continuous Matrix Product States for Quantum Fields: An Energy Minimization Algorithm
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1361225
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 118 Journal Issue: 22; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Ganahl, Martin, Rincón, Julián, and Vidal, Guifre. Continuous Matrix Product States for Quantum Fields: An Energy Minimization Algorithm. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.118.220402.
Ganahl, Martin, Rincón, Julián, & Vidal, Guifre. Continuous Matrix Product States for Quantum Fields: An Energy Minimization Algorithm. United States. https://doi.org/10.1103/PhysRevLett.118.220402
Ganahl, Martin, Rincón, Julián, and Vidal, Guifre. Fri .
"Continuous Matrix Product States for Quantum Fields: An Energy Minimization Algorithm". United States. https://doi.org/10.1103/PhysRevLett.118.220402.
@article{osti_1361225,
title = {Continuous Matrix Product States for Quantum Fields: An Energy Minimization Algorithm},
author = {Ganahl, Martin and Rincón, Julián and Vidal, Guifre},
abstractNote = {},
doi = {10.1103/PhysRevLett.118.220402},
journal = {Physical Review Letters},
number = 22,
volume = 118,
place = {United States},
year = {Fri Jun 02 00:00:00 EDT 2017},
month = {Fri Jun 02 00:00:00 EDT 2017}
}
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https://doi.org/10.1103/PhysRevLett.118.220402
https://doi.org/10.1103/PhysRevLett.118.220402
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Works referenced in this record:
The density-matrix renormalization group in the age of matrix product states
journal, January 2011
- Schollwöck, Ulrich
- Annals of Physics, Vol. 326, Issue 1
Guaranteed Convergence of the Kohn-Sham Equations
journal, August 2013
- Wagner, Lucas O.; Stoudenmire, E. M.; Burke, Kieron
- Physical Review Letters, Vol. 111, Issue 9
Dynamics of Pair Correlations in the Attractive Lieb-Liniger Gas
journal, October 2010
- Muth, Dominik; Fleischhauer, Michael
- Physical Review Letters, Vol. 105, Issue 15
Colloquium : Area laws for the entanglement entropy
journal, February 2010
- Eisert, J.; Cramer, M.; Plenio, M. B.
- Reviews of Modern Physics, Vol. 82, Issue 1
Time-Dependent Variational Principle for Quantum Lattices
journal, August 2011
- Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J.
- Physical Review Letters, Vol. 107, Issue 7
Particles, Holes, and Solitons: A Matrix Product State Approach
journal, July 2013
- Draxler, Damian; Haegeman, Jutho; Osborne, Tobias J.
- Physical Review Letters, Vol. 111, Issue 2
Multigrid Algorithms for Tensor Network States
journal, July 2012
- Dolfi, Michele; Bauer, Bela; Troyer, Matthias
- Physical Review Letters, Vol. 109, Issue 2
Matrix product ansatz for Fermi fields in one dimension
journal, March 2015
- Chung, Sangwoo S.; Sun, Kuei; Bolech, C. J.
- Physical Review B, Vol. 91, Issue 12
Continuous Matrix Product States for Quantum Fields
journal, May 2010
- Verstraete, F.; Cirac, J. I.
- Physical Review Letters, Vol. 104, Issue 19
Real-space parallel density matrix renormalization group
journal, April 2013
- Stoudenmire, E. M.; White, Steven R.
- Physical Review B, Vol. 87, Issue 15
Matrix product states for critical spin chains: Finite-size versus finite-entanglement scaling
journal, August 2012
- Pirvu, B.; Vidal, G.; Verstraete, F.
- Physical Review B, Vol. 86, Issue 7
Time-step targeting methods for real-time dynamics using the density matrix renormalization group
journal, July 2005
- Feiguin, Adrian E.; White, Steven R.
- Physical Review B, Vol. 72, Issue 2
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
journal, May 1963
- Lieb, Elliott H.; Liniger, Werner
- Physical Review, Vol. 130, Issue 4
Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension
journal, November 1960
- Girardeau, M.
- Journal of Mathematical Physics, Vol. 1, Issue 6
Continuous matrix product states with periodic boundary conditions and an application to atomtronics
journal, January 2017
- Draxler, Damian; Haegeman, Jutho; Verstraete, Frank
- Physical Review B, Vol. 95, Issue 4
Density-matrix algorithms for quantum renormalization groups
journal, October 1993
- White, Steven R.
- Physical Review B, Vol. 48, Issue 14
Ground state energy of the δ -Bose and Fermi gas at weak coupling from double extrapolation
journal, March 2017
- Prolhac, Sylvain
- Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 14
Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points
journal, June 2009
- Pollmann, Frank; Mukerjee, Subroto; Turner, Ari M.
- Physical Review Letters, Vol. 102, Issue 25
Applying the Variational Principle to ( )-Dimensional Quantum Field Theories
journal, December 2010
- Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J.
- Physical Review Letters, Vol. 105, Issue 25
Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
journal, July 2010
- Haller, Elmar; Hart, Russell; Mark, Manfred J.
- Nature, Vol. 466, Issue 7306
Bosonizing one-dimensional cold atomic gases
journal, March 2004
- Cazalilla, M. A.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 37, Issue 7
Excitation Spectrum of the Lieb-Liniger Model
journal, July 2014
- Ristivojevic, Zoran
- Physical Review Letters, Vol. 113, Issue 1
Continuous matrix product states for coupled fields: Application to Luttinger liquids and quantum simulators
journal, December 2014
- Quijandría, Fernando; García-Ripoll, Juan José; Zueco, David
- Physical Review B, Vol. 90, Issue 23
Cold Bosonic Atoms in Optical Lattices
journal, October 1998
- Jaksch, D.; Bruder, C.; Cirac, J. I.
- Physical Review Letters, Vol. 81, Issue 15
Calculus of continuous matrix product states
journal, August 2013
- Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J.
- Physical Review B, Vol. 88, Issue 8
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Ultracold quantum gases in optical lattices
journal, October 2005
- Bloch, Immanuel
- Nature Physics, Vol. 1, Issue 1
One dimensional bosons: From condensed matter systems to ultracold gases
journal, December 2011
- Cazalilla, M. A.; Citro, R.; Giamarchi, T.
- Reviews of Modern Physics, Vol. 83, Issue 4
Scaling of entanglement support for matrix product states
journal, July 2008
- Tagliacozzo, L.; de Oliveira, Thiago. R.; Iblisdir, S.
- Physical Review B, Vol. 78, Issue 2
Matrix product states and variational methods applied to critical quantum field theory
journal, October 2013
- Milsted, Ashley; Haegeman, Jutho; Osborne, Tobias J.
- Physical Review D, Vol. 88, Issue 8
Lieb-Liniger model with exponentially decaying interactions: A continuous matrix product state study
journal, September 2015
- Rincón, Julián; Ganahl, Martin; Vidal, Guifre
- Physical Review B, Vol. 92, Issue 11
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
journal, March 2008
- Verstraete, F.; Murg, V.; Cirac, J. I.
- Advances in Physics, Vol. 57, Issue 2
Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum
journal, May 1963
- Lieb, Elliott H.
- Physical Review, Vol. 130, Issue 4
Conformal data from finite entanglement scaling
journal, January 2015
- Stojevic, Vid; Haegeman, Jutho; McCulloch, I. P.
- Physical Review B, Vol. 91, Issue 3
Quantum Flutter: Signatures and Robustness
journal, January 2014
- Knap, Michael; Mathy, Charles J. M.; Ganahl, Martin
- Physical Review Letters, Vol. 112, Issue 1
Classical Simulation of Infinite-Size Quantum Lattice Systems in One Spatial Dimension
journal, February 2007
- Vidal, G.
- Physical Review Letters, Vol. 98, Issue 7
A quantum Newton's cradle
journal, April 2006
- Kinoshita, Toshiya; Wenger, Trevor; Weiss, David S.
- Nature, Vol. 440, Issue 7086
Continuous-matrix-product-state solution for the mixing-demixing transition in one-dimensional quantum fields
journal, October 2015
- Quijandría, Fernando; Zueco, David
- Physical Review A, Vol. 92, Issue 4