Universal properties of hard-core bosons confined on one-dimensional lattices

Marcos Rigol; Alejandro Muramatsu

doi:10.1103/PhysRevA.70.031603

Universal properties of hard-core bosons confined on one-dimensional lattices

Marcos Rigol, Alejandro Muramatsu

Physics

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95 Scopus citations

Abstract

Various properties of the hard-core bosons (HCB), which were confined to one-dimensional lattices, with a universal power-law decay of one-particle density matrix (OPDM), independent of the power of the confining potential, were investigated. Based on exact treatment of HCB, large distance behavior of OPDM was obtained, and the occupation of lowest natural orbital (NO) in the thermodynamic limit was also determined. The occupation of the NO for large-η at low densities was also studied. The finite-size corrections and the momentum distribution function for finite systems were also analyzed.

Original language	English (US)
Article number	031603
Pages (from-to)	031603-1-031603-4
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.70.031603
State	Published - Sep 2004

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.70.031603

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title = "Universal properties of hard-core bosons confined on one-dimensional lattices",

abstract = "Various properties of the hard-core bosons (HCB), which were confined to one-dimensional lattices, with a universal power-law decay of one-particle density matrix (OPDM), independent of the power of the confining potential, were investigated. Based on exact treatment of HCB, large distance behavior of OPDM was obtained, and the occupation of lowest natural orbital (NO) in the thermodynamic limit was also determined. The occupation of the NO for large-η at low densities was also studied. The finite-size corrections and the momentum distribution function for finite systems were also analyzed.",

author = "Marcos Rigol and Alejandro Muramatsu",

note = "Funding Information: We are grateful to HLR-Stuttgart (Project DynMet) for allocation of computer time, and SFB 382 for financial support. We are indebted to F. G{\"o}hmann for bringing to our attention Ref. . ",

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AB - Various properties of the hard-core bosons (HCB), which were confined to one-dimensional lattices, with a universal power-law decay of one-particle density matrix (OPDM), independent of the power of the confining potential, were investigated. Based on exact treatment of HCB, large distance behavior of OPDM was obtained, and the occupation of lowest natural orbital (NO) in the thermodynamic limit was also determined. The occupation of the NO for large-η at low densities was also studied. The finite-size corrections and the momentum distribution function for finite systems were also analyzed.

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Universal properties of hard-core bosons confined on one-dimensional lattices

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