Casimir effect in the nonequilibrium steady state of a quantum spin chain

D. L. González-Cabrera, Z. Rácz, F. Van Wijland

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We present a fully microscopics-based calculation of the Casimir effect in a nonequilibrium system, namely, an energy-flux-driven quantum XX chain. The force between the walls (transverse-field impurities) is calculated in a nonequilibrium steady state which is prepared by letting the system evolve from an initial state with the two halves of the chain prepared at equilibrium at different temperatures. The steady state emerging in the large-time limit is homogeneous but carries an energy flux. The Casimir force in this nonequilibrium state is calculated analytically in the limit when the transverse fields are small. We find that the the Casimir force range is reduced compared to the equilibrium case, and suggest that the reason for this is the reduction of fluctuations in the flux-carrying steady state.

Original languageEnglish
Article number052512
JournalPhysical Review A
Volume81
Issue number5
DOIs
Publication statusPublished - May 20 2010

Fingerprint

emerging
impurities
energy
temperature

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Casimir effect in the nonequilibrium steady state of a quantum spin chain. / González-Cabrera, D. L.; Rácz, Z.; Van Wijland, F.

In: Physical Review A, Vol. 81, No. 5, 052512, 20.05.2010.

Research output: Contribution to journalArticle

González-Cabrera, D. L. ; Rácz, Z. ; Van Wijland, F. / Casimir effect in the nonequilibrium steady state of a quantum spin chain. In: Physical Review A. 2010 ; Vol. 81, No. 5.
@article{0afc9ac966f74323959b165ab975768a,
title = "Casimir effect in the nonequilibrium steady state of a quantum spin chain",
abstract = "We present a fully microscopics-based calculation of the Casimir effect in a nonequilibrium system, namely, an energy-flux-driven quantum XX chain. The force between the walls (transverse-field impurities) is calculated in a nonequilibrium steady state which is prepared by letting the system evolve from an initial state with the two halves of the chain prepared at equilibrium at different temperatures. The steady state emerging in the large-time limit is homogeneous but carries an energy flux. The Casimir force in this nonequilibrium state is calculated analytically in the limit when the transverse fields are small. We find that the the Casimir force range is reduced compared to the equilibrium case, and suggest that the reason for this is the reduction of fluctuations in the flux-carrying steady state.",
author = "Gonz{\'a}lez-Cabrera, {D. L.} and Z. R{\'a}cz and {Van Wijland}, F.",
year = "2010",
month = "5",
day = "20",
doi = "10.1103/PhysRevA.81.052512",
language = "English",
volume = "81",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Casimir effect in the nonequilibrium steady state of a quantum spin chain

AU - González-Cabrera, D. L.

AU - Rácz, Z.

AU - Van Wijland, F.

PY - 2010/5/20

Y1 - 2010/5/20

N2 - We present a fully microscopics-based calculation of the Casimir effect in a nonequilibrium system, namely, an energy-flux-driven quantum XX chain. The force between the walls (transverse-field impurities) is calculated in a nonequilibrium steady state which is prepared by letting the system evolve from an initial state with the two halves of the chain prepared at equilibrium at different temperatures. The steady state emerging in the large-time limit is homogeneous but carries an energy flux. The Casimir force in this nonequilibrium state is calculated analytically in the limit when the transverse fields are small. We find that the the Casimir force range is reduced compared to the equilibrium case, and suggest that the reason for this is the reduction of fluctuations in the flux-carrying steady state.

AB - We present a fully microscopics-based calculation of the Casimir effect in a nonequilibrium system, namely, an energy-flux-driven quantum XX chain. The force between the walls (transverse-field impurities) is calculated in a nonequilibrium steady state which is prepared by letting the system evolve from an initial state with the two halves of the chain prepared at equilibrium at different temperatures. The steady state emerging in the large-time limit is homogeneous but carries an energy flux. The Casimir force in this nonequilibrium state is calculated analytically in the limit when the transverse fields are small. We find that the the Casimir force range is reduced compared to the equilibrium case, and suggest that the reason for this is the reduction of fluctuations in the flux-carrying steady state.

UR - http://www.scopus.com/inward/record.url?scp=77953188593&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953188593&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.81.052512

DO - 10.1103/PhysRevA.81.052512

M3 - Article

AN - SCOPUS:77953188593

VL - 81

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 5

M1 - 052512

ER -