First-order phase transition and anomalous hysteresis of Bose gases in optical lattices

Daisuke Yamamoto, Takeshi Ozaki, Carlos A R Sá De Melo, Ippei Danshita

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We study the first-order quantum phase transitions of Bose gases in optical lattices. A special emphasis is placed on an anomalous hysteresis behavior, in which the phase transition occurs in a unidirectional way and a hysteresis loop does not form. We first revisit the hardcore Bose-Hubbard model with dipole-dipole interactions on a triangular lattice to analyze accurately the ground-state phase diagram and the hysteresis using the cluster mean-field theory combined with cluster-size scaling. Details of the anomalous hysteresis are presented. We next consider the two-component and spin-1 Bose-Hubbard models on a hypercubic lattice and show that the anomalous hysteresis can emerge in these systems as well. In particular, for the former model, we discuss the experimental feasibility of the first-order transitions and the associated hysteresis. We also explain an underlying mechanism of the anomalous hysteresis by means of the Ginzburg-Landau theory. From the given cases, we conclude that the anomalous hysteresis is a ubiquitous phenomenon of systems with a phase region of lobe shape that is surrounded by the first-order boundary.

Original languageEnglish
Article number033624
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume88
Issue number3
DOIs
Publication statusPublished - 2013 Sep 20
Externally publishedYes

Fingerprint

hysteresis
gases
dipoles
lobes
phase diagrams
scaling
ground state
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

First-order phase transition and anomalous hysteresis of Bose gases in optical lattices. / Yamamoto, Daisuke; Ozaki, Takeshi; Sá De Melo, Carlos A R; Danshita, Ippei.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 88, No. 3, 033624, 20.09.2013.

Research output: Contribution to journalArticle

Yamamoto, Daisuke ; Ozaki, Takeshi ; Sá De Melo, Carlos A R ; Danshita, Ippei. / First-order phase transition and anomalous hysteresis of Bose gases in optical lattices. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2013 ; Vol. 88, No. 3.
@article{4303012324ec459a8c38b626398c5016,
title = "First-order phase transition and anomalous hysteresis of Bose gases in optical lattices",
abstract = "We study the first-order quantum phase transitions of Bose gases in optical lattices. A special emphasis is placed on an anomalous hysteresis behavior, in which the phase transition occurs in a unidirectional way and a hysteresis loop does not form. We first revisit the hardcore Bose-Hubbard model with dipole-dipole interactions on a triangular lattice to analyze accurately the ground-state phase diagram and the hysteresis using the cluster mean-field theory combined with cluster-size scaling. Details of the anomalous hysteresis are presented. We next consider the two-component and spin-1 Bose-Hubbard models on a hypercubic lattice and show that the anomalous hysteresis can emerge in these systems as well. In particular, for the former model, we discuss the experimental feasibility of the first-order transitions and the associated hysteresis. We also explain an underlying mechanism of the anomalous hysteresis by means of the Ginzburg-Landau theory. From the given cases, we conclude that the anomalous hysteresis is a ubiquitous phenomenon of systems with a phase region of lobe shape that is surrounded by the first-order boundary.",
author = "Daisuke Yamamoto and Takeshi Ozaki and {S{\'a} De Melo}, {Carlos A R} and Ippei Danshita",
year = "2013",
month = "9",
day = "20",
doi = "10.1103/PhysRevA.88.033624",
language = "English",
volume = "88",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - First-order phase transition and anomalous hysteresis of Bose gases in optical lattices

AU - Yamamoto, Daisuke

AU - Ozaki, Takeshi

AU - Sá De Melo, Carlos A R

AU - Danshita, Ippei

PY - 2013/9/20

Y1 - 2013/9/20

N2 - We study the first-order quantum phase transitions of Bose gases in optical lattices. A special emphasis is placed on an anomalous hysteresis behavior, in which the phase transition occurs in a unidirectional way and a hysteresis loop does not form. We first revisit the hardcore Bose-Hubbard model with dipole-dipole interactions on a triangular lattice to analyze accurately the ground-state phase diagram and the hysteresis using the cluster mean-field theory combined with cluster-size scaling. Details of the anomalous hysteresis are presented. We next consider the two-component and spin-1 Bose-Hubbard models on a hypercubic lattice and show that the anomalous hysteresis can emerge in these systems as well. In particular, for the former model, we discuss the experimental feasibility of the first-order transitions and the associated hysteresis. We also explain an underlying mechanism of the anomalous hysteresis by means of the Ginzburg-Landau theory. From the given cases, we conclude that the anomalous hysteresis is a ubiquitous phenomenon of systems with a phase region of lobe shape that is surrounded by the first-order boundary.

AB - We study the first-order quantum phase transitions of Bose gases in optical lattices. A special emphasis is placed on an anomalous hysteresis behavior, in which the phase transition occurs in a unidirectional way and a hysteresis loop does not form. We first revisit the hardcore Bose-Hubbard model with dipole-dipole interactions on a triangular lattice to analyze accurately the ground-state phase diagram and the hysteresis using the cluster mean-field theory combined with cluster-size scaling. Details of the anomalous hysteresis are presented. We next consider the two-component and spin-1 Bose-Hubbard models on a hypercubic lattice and show that the anomalous hysteresis can emerge in these systems as well. In particular, for the former model, we discuss the experimental feasibility of the first-order transitions and the associated hysteresis. We also explain an underlying mechanism of the anomalous hysteresis by means of the Ginzburg-Landau theory. From the given cases, we conclude that the anomalous hysteresis is a ubiquitous phenomenon of systems with a phase region of lobe shape that is surrounded by the first-order boundary.

UR - http://www.scopus.com/inward/record.url?scp=84884878875&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884878875&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.88.033624

DO - 10.1103/PhysRevA.88.033624

M3 - Article

VL - 88

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 3

M1 - 033624

ER -