Exact numerical approach to hard-core bosons on one-dimensional lattices

Marcos Rigol; Alejandro Muramatsu

doi:10.1016/j.cpc.2005.03.092

Exact numerical approach to hard-core bosons on one-dimensional lattices

Marcos Rigol, Alejandro Muramatsu

Physics

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

We describe a recently developed exact numerical approach that allows to study ground state properties and the non-equilibrium dynamics of hard-core bosons confined on 1D lattices. It is based on the Jordan-Wigner transformation and enables to analyze large system sizes such that scaling properties typical for the thermodynamic limit can be observed. We apply this exact treatment to study the off-diagonal behavior of the one-particle density matrix in systems confined by harmonic potentials. We also analyze the non-equilibrium dynamics of an initial Fock state of hard-core bosons which is allowed to evolve freely.

Original language	English (US)
Pages (from-to)	416-420
Number of pages	5
Journal	Computer Physics Communications
Volume	169
Issue number	1-3
DOIs	https://doi.org/10.1016/j.cpc.2005.03.092
State	Published - Jul 1 2005
Event	Proceedings of the Europhysics Conference on Computational Physics 2004 CCP 2004 - Duration: Sep 1 2004 → Sep 4 2004

All Science Journal Classification (ASJC) codes

Hardware and Architecture
General Physics and Astronomy

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10.1016/j.cpc.2005.03.092

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title = "Exact numerical approach to hard-core bosons on one-dimensional lattices",

abstract = "We describe a recently developed exact numerical approach that allows to study ground state properties and the non-equilibrium dynamics of hard-core bosons confined on 1D lattices. It is based on the Jordan-Wigner transformation and enables to analyze large system sizes such that scaling properties typical for the thermodynamic limit can be observed. We apply this exact treatment to study the off-diagonal behavior of the one-particle density matrix in systems confined by harmonic potentials. We also analyze the non-equilibrium dynamics of an initial Fock state of hard-core bosons which is allowed to evolve freely.",

author = "Marcos Rigol and Alejandro Muramatsu",

note = "Funding Information: The authors would like to thank SFB 382 for financial support, and HLR-Stuttgart (Project DynMet) for allocation of computer time.; Proceedings of the Europhysics Conference on Computational Physics 2004 CCP 2004 ; Conference date: 01-09-2004 Through 04-09-2004",

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doi = "10.1016/j.cpc.2005.03.092",

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T1 - Exact numerical approach to hard-core bosons on one-dimensional lattices

AU - Rigol, Marcos

AU - Muramatsu, Alejandro

N1 - Funding Information: The authors would like to thank SFB 382 for financial support, and HLR-Stuttgart (Project DynMet) for allocation of computer time.

PY - 2005/7/1

Y1 - 2005/7/1

N2 - We describe a recently developed exact numerical approach that allows to study ground state properties and the non-equilibrium dynamics of hard-core bosons confined on 1D lattices. It is based on the Jordan-Wigner transformation and enables to analyze large system sizes such that scaling properties typical for the thermodynamic limit can be observed. We apply this exact treatment to study the off-diagonal behavior of the one-particle density matrix in systems confined by harmonic potentials. We also analyze the non-equilibrium dynamics of an initial Fock state of hard-core bosons which is allowed to evolve freely.

AB - We describe a recently developed exact numerical approach that allows to study ground state properties and the non-equilibrium dynamics of hard-core bosons confined on 1D lattices. It is based on the Jordan-Wigner transformation and enables to analyze large system sizes such that scaling properties typical for the thermodynamic limit can be observed. We apply this exact treatment to study the off-diagonal behavior of the one-particle density matrix in systems confined by harmonic potentials. We also analyze the non-equilibrium dynamics of an initial Fock state of hard-core bosons which is allowed to evolve freely.

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U2 - 10.1016/j.cpc.2005.03.092

DO - 10.1016/j.cpc.2005.03.092

M3 - Conference article

AN - SCOPUS:21244453119

SN - 0010-4655

VL - 169

SP - 416

EP - 420

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 1-3

T2 - Proceedings of the Europhysics Conference on Computational Physics 2004 CCP 2004

Y2 - 1 September 2004 through 4 September 2004

ER -

Exact numerical approach to hard-core bosons on one-dimensional lattices

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