Evolution of order and chaos across a first-order quantum phase transition

A. Leviatan; M. Macek

doi:10.1016/j.physletb.2012.06.046

Evolution of order and chaos across a first-order quantum phase transition

A. Leviatan, M. Macek

Racah Institute of Physics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

We study the evolution of the dynamics across a generic first-order quantum phase transition in an interacting boson model of nuclei. The dynamics inside the phase coexistence region exhibits a very simple pattern. A classical analysis reveals a robustly regular dynamics confined to the deformed region and well separated from a chaotic dynamics ascribed to the spherical region. A quantum analysis discloses regular bands of states in the deformed region, which persist to energies well above the phase-separating barrier, in the face of a complicated environment. The impact of kinetic collective rotational terms on this intricate interplay of order and chaos is investigated.

Original language	English
Pages (from-to)	110-114
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	714
Issue number	1
DOIs	https://doi.org/10.1016/j.physletb.2012.06.046
State	Published - 24 Jul 2012

Keywords

Interacting boson model (IBM)
Quantum shape-phase transitions
Regularity and chaos

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2012.06.046

Cite this

@article{6cddfff3a9a148049ac0f0c84e69e6b4,

title = "Evolution of order and chaos across a first-order quantum phase transition",

abstract = "We study the evolution of the dynamics across a generic first-order quantum phase transition in an interacting boson model of nuclei. The dynamics inside the phase coexistence region exhibits a very simple pattern. A classical analysis reveals a robustly regular dynamics confined to the deformed region and well separated from a chaotic dynamics ascribed to the spherical region. A quantum analysis discloses regular bands of states in the deformed region, which persist to energies well above the phase-separating barrier, in the face of a complicated environment. The impact of kinetic collective rotational terms on this intricate interplay of order and chaos is investigated.",

keywords = "Interacting boson model (IBM), Quantum shape-phase transitions, Regularity and chaos",

author = "A. Leviatan and M. Macek",

note = "Funding Information: This work is supported by the Israel Science Foundation . M.M. acknowledges the Golda Meir Fellowship Fund and partial support by the Czech Ministry of Education ( MSM 0021620859 ).",

year = "2012",

month = jul,

day = "24",

doi = "10.1016/j.physletb.2012.06.046",

language = "الإنجليزيّة",

volume = "714",

pages = "110--114",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Evolution of order and chaos across a first-order quantum phase transition

AU - Leviatan, A.

AU - Macek, M.

N1 - Funding Information: This work is supported by the Israel Science Foundation . M.M. acknowledges the Golda Meir Fellowship Fund and partial support by the Czech Ministry of Education ( MSM 0021620859 ).

PY - 2012/7/24

Y1 - 2012/7/24

N2 - We study the evolution of the dynamics across a generic first-order quantum phase transition in an interacting boson model of nuclei. The dynamics inside the phase coexistence region exhibits a very simple pattern. A classical analysis reveals a robustly regular dynamics confined to the deformed region and well separated from a chaotic dynamics ascribed to the spherical region. A quantum analysis discloses regular bands of states in the deformed region, which persist to energies well above the phase-separating barrier, in the face of a complicated environment. The impact of kinetic collective rotational terms on this intricate interplay of order and chaos is investigated.

AB - We study the evolution of the dynamics across a generic first-order quantum phase transition in an interacting boson model of nuclei. The dynamics inside the phase coexistence region exhibits a very simple pattern. A classical analysis reveals a robustly regular dynamics confined to the deformed region and well separated from a chaotic dynamics ascribed to the spherical region. A quantum analysis discloses regular bands of states in the deformed region, which persist to energies well above the phase-separating barrier, in the face of a complicated environment. The impact of kinetic collective rotational terms on this intricate interplay of order and chaos is investigated.

KW - Interacting boson model (IBM)

KW - Quantum shape-phase transitions

KW - Regularity and chaos

UR - http://www.scopus.com/inward/record.url?scp=84864016722&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2012.06.046

DO - 10.1016/j.physletb.2012.06.046

M3 - مقالة

SN - 0370-2693

VL - 714

SP - 110

EP - 114

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1

ER -

Evolution of order and chaos across a first-order quantum phase transition

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this