dorsal/arxiv
View SchemaNonequilibrium dynamics of moving mirrors in quantum fields: Influence functional and Langevin equation
| Authors | Chun-Hsien Wu, Da-Shin Lee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501127 |
| URL | https://arxiv.org/abs/quant-ph/0501127 |
| DOI | 10.1103/PhysRevD.71.125005 |
| Journal | Phys.Rev. D71 (2005) 125005 |
Abstract
We employ the Schwinger-Keldysh formalism to study the nonequilibrium dynamics of the mirror with perfect reflection moving in a quantum field. Within the regime of linear response in terms of a first order expansion of the mirror's displacement, the coarse-grained effective action is obtained by integrating out quantum fields with the method of influence functional. The semiclassical Langevin equation is derived, and is found to involve two levels of backreaction effects on the dynamics of mirrors: radiation reaction induced by the motion of the mirror and backreaction dissipation arising from fluctuations in quantum fields via a fluctuation-dissipation relation. Although the theorem of fluctuation and dissipation in linear response theory is of model independence, the study from the first principles derivation shows that the obtained theorem is also {\it independent} of the regulators introduced to deal with short-distance divergences from quantum fields. Thus, when the method of regularization is introduced to compute the dissipation and fluctuation effects, this theorem must be fulfilled as the results are obtained by taking the short-distance limit in the end of calculations. The backreaction effects from vacuum fluctuations on moving mirrors are found to be hardly detected while those effects from thermal fluctuations may be detectable.
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"abstract": "We employ the Schwinger-Keldysh formalism to study the nonequilibrium\ndynamics of the mirror with perfect reflection moving in a quantum field.\nWithin the regime of linear response in terms of a first order expansion of the\nmirror\u0027s displacement, the coarse-grained effective action is obtained by\nintegrating out quantum fields with the method of influence functional. The\nsemiclassical Langevin equation is derived, and is found to involve two levels\nof backreaction effects on the dynamics of mirrors: radiation reaction induced\nby the motion of the mirror and backreaction dissipation arising from\nfluctuations in quantum fields via a fluctuation-dissipation relation. Although\nthe theorem of fluctuation and dissipation in linear response theory is of\nmodel independence, the study from the first principles derivation shows that\nthe obtained theorem is also {\\it independent} of the regulators introduced to\ndeal with short-distance divergences from quantum fields. Thus, when the method\nof regularization is introduced to compute the dissipation and fluctuation\neffects, this theorem must be fulfilled as the results are obtained by taking\nthe short-distance limit in the end of calculations. The backreaction effects\nfrom vacuum fluctuations on moving mirrors are found to be hardly detected\nwhile those effects from thermal fluctuations may be detectable.",
"arxiv_id": "quant-ph/0501127",
"authors": [
"Chun-Hsien Wu",
"Da-Shin Lee"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-ph"
],
"doi": "10.1103/PhysRevD.71.125005",
"journal_ref": "Phys.Rev. D71 (2005) 125005",
"title": "Nonequilibrium dynamics of moving mirrors in quantum fields: Influence functional and Langevin equation",
"url": "https://arxiv.org/abs/quant-ph/0501127"
},
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