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Title: Continuous Matrix Product States for Quantum Fields: An Energy Minimization Algorithm

Journal Article · · Physical Review Letters

Sponsoring Organization:
USDOE
OSTI ID:
1361225
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Vol. 118 Journal Issue: 22; ISSN 0031-9007
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

References (38)

The density-matrix renormalization group in the age of matrix product states journal January 2011
Guaranteed Convergence of the Kohn-Sham Equations journal August 2013
Dynamics of Pair Correlations in the Attractive Lieb-Liniger Gas journal October 2010
Colloquium : Area laws for the entanglement entropy journal February 2010
Time-Dependent Variational Principle for Quantum Lattices journal August 2011
Particles, Holes, and Solitons: A Matrix Product State Approach journal July 2013
Multigrid Algorithms for Tensor Network States journal July 2012
Matrix product ansatz for Fermi fields in one dimension journal March 2015
Continuous Matrix Product States for Quantum Fields journal May 2010
Real-space parallel density matrix renormalization group journal April 2013
Matrix product states for critical spin chains: Finite-size versus finite-entanglement scaling journal August 2012
Time-step targeting methods for real-time dynamics using the density matrix renormalization group journal July 2005
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State journal May 1963
Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension journal November 1960
Continuous matrix product states with periodic boundary conditions and an application to atomtronics journal January 2017
Density-matrix algorithms for quantum renormalization groups journal October 1993
Ground state energy of the δ -Bose and Fermi gas at weak coupling from double extrapolation journal March 2017
Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points journal June 2009
Applying the Variational Principle to ( 1 + 1 )-Dimensional Quantum Field Theories journal December 2010
Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons journal July 2010
Bosonizing one-dimensional cold atomic gases journal March 2004
Excitation Spectrum of the Lieb-Liniger Model journal July 2014
Continuous matrix product states for coupled fields: Application to Luttinger liquids and quantum simulators journal December 2014
Cold Bosonic Atoms in Optical Lattices journal October 1998
Calculus of continuous matrix product states journal August 2013
Density matrix formulation for quantum renormalization groups journal November 1992
Ultracold quantum gases in optical lattices journal October 2005
One dimensional bosons: From condensed matter systems to ultracold gases journal December 2011
Scaling of entanglement support for matrix product states journal July 2008
Matrix product states and variational methods applied to critical quantum field theory journal October 2013
Lieb-Liniger model with exponentially decaying interactions: A continuous matrix product state study journal September 2015
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems journal March 2008
Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum journal May 1963
Conformal data from finite entanglement scaling journal January 2015
Quantum Flutter: Signatures and Robustness journal January 2014
Classical Simulation of Infinite-Size Quantum Lattice Systems in One Spatial Dimension journal February 2007
A quantum Newton's cradle journal April 2006
Continuous-matrix-product-state solution for the mixing-demixing transition in one-dimensional quantum fields journal October 2015

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