Self-consistent analysis of a thermally dissipative quantum field system

Korenman's model

I. Hardman, H. Umezawa, Yoshiya Yamanaka

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Using the Schwinger-Keldysh path-ordering method, a favoured method for doing non-equilibrium quantum field theory, Korenman analyzed a simple model from quantum optics. We study the same model using the recently developed non-equilibrium thermo field dynamics (TFD), and make a comparison of these two methods. TFD can deal with time-dependent non-equilibrium situations caused by the initial conditions being out of equilibrium, while Korenman considered a stationary state maintained by an assumed external pumping mechanism. The explicit TFD calculation at one loop level shows the approach of the system to equilibrium which is described by the master equation derived from the self-consistent renormalization condition. Although both of the methods give practically the same dissipative coefficient in this order of approximation, we would find a larger difference between them in a higher order calculation because of the difference of unperturbative propagators. We also briefly consider the inclusion of a simple pumping mechanism for the system in TFD.

Original languageEnglish
Pages (from-to)853-875
Number of pages23
JournalPhysica A: Statistical Mechanics and its Applications
Volume156
Issue number3
DOIs
Publication statusPublished - 1989 Apr 15
Externally publishedYes

Fingerprint

Quantum Fields
Non-equilibrium
pumping
Quantum Optics
quantum optics
Order of Approximation
Stationary States
Master Equation
Propagator
Quantum Field Theory
Renormalization
Model
Initial conditions
Inclusion
inclusions
Higher Order
Path
propagation
Coefficient
coefficients

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Self-consistent analysis of a thermally dissipative quantum field system : Korenman's model. / Hardman, I.; Umezawa, H.; Yamanaka, Yoshiya.

In: Physica A: Statistical Mechanics and its Applications, Vol. 156, No. 3, 15.04.1989, p. 853-875.

Research output: Contribution to journalArticle

@article{f8137d371e3945268195e3cbd23b1a65,
title = "Self-consistent analysis of a thermally dissipative quantum field system: Korenman's model",
abstract = "Using the Schwinger-Keldysh path-ordering method, a favoured method for doing non-equilibrium quantum field theory, Korenman analyzed a simple model from quantum optics. We study the same model using the recently developed non-equilibrium thermo field dynamics (TFD), and make a comparison of these two methods. TFD can deal with time-dependent non-equilibrium situations caused by the initial conditions being out of equilibrium, while Korenman considered a stationary state maintained by an assumed external pumping mechanism. The explicit TFD calculation at one loop level shows the approach of the system to equilibrium which is described by the master equation derived from the self-consistent renormalization condition. Although both of the methods give practically the same dissipative coefficient in this order of approximation, we would find a larger difference between them in a higher order calculation because of the difference of unperturbative propagators. We also briefly consider the inclusion of a simple pumping mechanism for the system in TFD.",
author = "I. Hardman and H. Umezawa and Yoshiya Yamanaka",
year = "1989",
month = "4",
day = "15",
doi = "10.1016/0378-4371(89)90024-1",
language = "English",
volume = "156",
pages = "853--875",
journal = "Physica A: Statistical Mechanics and its Applications",
issn = "0378-4371",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Self-consistent analysis of a thermally dissipative quantum field system

T2 - Korenman's model

AU - Hardman, I.

AU - Umezawa, H.

AU - Yamanaka, Yoshiya

PY - 1989/4/15

Y1 - 1989/4/15

N2 - Using the Schwinger-Keldysh path-ordering method, a favoured method for doing non-equilibrium quantum field theory, Korenman analyzed a simple model from quantum optics. We study the same model using the recently developed non-equilibrium thermo field dynamics (TFD), and make a comparison of these two methods. TFD can deal with time-dependent non-equilibrium situations caused by the initial conditions being out of equilibrium, while Korenman considered a stationary state maintained by an assumed external pumping mechanism. The explicit TFD calculation at one loop level shows the approach of the system to equilibrium which is described by the master equation derived from the self-consistent renormalization condition. Although both of the methods give practically the same dissipative coefficient in this order of approximation, we would find a larger difference between them in a higher order calculation because of the difference of unperturbative propagators. We also briefly consider the inclusion of a simple pumping mechanism for the system in TFD.

AB - Using the Schwinger-Keldysh path-ordering method, a favoured method for doing non-equilibrium quantum field theory, Korenman analyzed a simple model from quantum optics. We study the same model using the recently developed non-equilibrium thermo field dynamics (TFD), and make a comparison of these two methods. TFD can deal with time-dependent non-equilibrium situations caused by the initial conditions being out of equilibrium, while Korenman considered a stationary state maintained by an assumed external pumping mechanism. The explicit TFD calculation at one loop level shows the approach of the system to equilibrium which is described by the master equation derived from the self-consistent renormalization condition. Although both of the methods give practically the same dissipative coefficient in this order of approximation, we would find a larger difference between them in a higher order calculation because of the difference of unperturbative propagators. We also briefly consider the inclusion of a simple pumping mechanism for the system in TFD.

UR - http://www.scopus.com/inward/record.url?scp=4243585788&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243585788&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(89)90024-1

DO - 10.1016/0378-4371(89)90024-1

M3 - Article

VL - 156

SP - 853

EP - 875

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 3

ER -