System-Size Dependence of Statistical Behavior in Quantum System

Keiji Saitou, Shinji Takesue, Seiji Miyashita

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We discuss in detail statistical mechanical properties of quantum dynamics with the use of numerical simulations of isolated one-dimensional spin systems of various sizes. With respect to the energy distribution in a subsystem, a good agreement is observed between those obtained by the method of statistical mechanics and via long-time average over simulation, even in the system composed of a small number of spins. In particular, the distribution of energy forms the canonical distribution.

Original languageEnglish
Pages (from-to)1243-1249
Number of pages7
JournalJournal of the Physical Society of Japan
Volume65
Issue number5
Publication statusPublished - 1996
Externally publishedYes

Fingerprint

statistical mechanics
energy distribution
simulation
mechanical properties
energy

Keywords

  • Ergodicity
  • Few degrees of freedom
  • Quantum mechanical motion
  • Quantum spin system
  • Statistical mechanical properties
  • The canonical distribution

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

System-Size Dependence of Statistical Behavior in Quantum System. / Saitou, Keiji; Takesue, Shinji; Miyashita, Seiji.

In: Journal of the Physical Society of Japan, Vol. 65, No. 5, 1996, p. 1243-1249.

Research output: Contribution to journalArticle

Saitou, Keiji ; Takesue, Shinji ; Miyashita, Seiji. / System-Size Dependence of Statistical Behavior in Quantum System. In: Journal of the Physical Society of Japan. 1996 ; Vol. 65, No. 5. pp. 1243-1249.
@article{0adcd031d3a342268ff612283b6e98ef,
title = "System-Size Dependence of Statistical Behavior in Quantum System",
abstract = "We discuss in detail statistical mechanical properties of quantum dynamics with the use of numerical simulations of isolated one-dimensional spin systems of various sizes. With respect to the energy distribution in a subsystem, a good agreement is observed between those obtained by the method of statistical mechanics and via long-time average over simulation, even in the system composed of a small number of spins. In particular, the distribution of energy forms the canonical distribution.",
keywords = "Ergodicity, Few degrees of freedom, Quantum mechanical motion, Quantum spin system, Statistical mechanical properties, The canonical distribution",
author = "Keiji Saitou and Shinji Takesue and Seiji Miyashita",
year = "1996",
language = "English",
volume = "65",
pages = "1243--1249",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "5",

}

TY - JOUR

T1 - System-Size Dependence of Statistical Behavior in Quantum System

AU - Saitou, Keiji

AU - Takesue, Shinji

AU - Miyashita, Seiji

PY - 1996

Y1 - 1996

N2 - We discuss in detail statistical mechanical properties of quantum dynamics with the use of numerical simulations of isolated one-dimensional spin systems of various sizes. With respect to the energy distribution in a subsystem, a good agreement is observed between those obtained by the method of statistical mechanics and via long-time average over simulation, even in the system composed of a small number of spins. In particular, the distribution of energy forms the canonical distribution.

AB - We discuss in detail statistical mechanical properties of quantum dynamics with the use of numerical simulations of isolated one-dimensional spin systems of various sizes. With respect to the energy distribution in a subsystem, a good agreement is observed between those obtained by the method of statistical mechanics and via long-time average over simulation, even in the system composed of a small number of spins. In particular, the distribution of energy forms the canonical distribution.

KW - Ergodicity

KW - Few degrees of freedom

KW - Quantum mechanical motion

KW - Quantum spin system

KW - Statistical mechanical properties

KW - The canonical distribution

UR - http://www.scopus.com/inward/record.url?scp=0030559668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030559668&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030559668

VL - 65

SP - 1243

EP - 1249

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 5

ER -