Fluctuation-dissipation and correlation-propagation relations from the nonequilibrium dynamics of detector-quantum field systems

Hsiang, Jen‐Tsung; Hu, B. L.; Lin, Shih-Yuin

doi:10.1103/physrevd.100.025019

Cited by 27 publications

(45 citation statements)

References 62 publications

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“…This is the approach we have adopted in treating a range of problems from atom-field interactions to quantum processes in black holes and the early universe. (For a glimpse of the scope of problems whose essences FDR can help to capture, see [40] and the Introduction of [8,9]. )…”

Section: Fdr In Neq Dynamics Vs Liner Response Theorymentioning

confidence: 99%

Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation or Radiation Reaction

Hsiang

2019

Physics

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In this paper we dwell on three issues: 1) revisit the relation between vacuum fluctuations and radiation reaction in atom-field interactions, an old issue that began in the 70s and settled in the 90s with its resolution recorded in monographs; 2) the fluctuation-dissipation relation (FDR) of the system, pointing out the differences between the conventional form in linear response theory (LRT) assuming ultra-weak coupling between the system and the bath, and the FDR in an equilibrated final state, relaxed from the nonequilibrium evolution of an open quantum system; 3) quantum radiation from an atom interacting with a quantum field: We begin with vacuum fluctuations in the field acting on the internal degrees of freedom (idf) of an atom, adding to its dynamics a stochastic component which engenders quantum radiation whose backreaction causes quantum dissipation in the idf of the atom. We show explicitly how different terms representing these processes appear in the equations of motion. Then, using the example of a stationary atom, we show how the absence of radiation in this simple cases is a result of complex cancellations, at a far away observation point, of the interference between emitted radiation from the atom and the local fluctuations in the free field. In so doing we point out in Issue 1 that the entity which enters into the duality relation with vacuum fluctuations is not radiation reaction, which can exist as a classical entity, but quantum dissipation. Finally, regarding Issue 2, we point out for systems with many atoms, the co-existence of a set of correlation-propagation relations describing how the correlations between the atoms are related to the propagation of their (retarded non-Markovian) mutual influence manifesting in the quantum field. The CPR is absolutely crucial in keeping the balance of energy flows between the constituents of the system, and between the system and its environment. Without the consideration of this additional relation in tether with the FDR, dynamical self-consistency cannot be sustained. Combination of these two sets of relations forms a generalized matrix FDR relation which capture the physical essence of the interaction between an atom and a quantum field at arbitrary coupling strength.

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Section: Fdr In Neq Dynamics Vs Liner Response Theorymentioning

confidence: 99%

Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation or Radiation Reaction

Hsiang

2019

Physics

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“…Secondly, it is now clear that eq. (3.14) ensures the thermality of the spectrum, without which the two point correlation function could be non-thermal and non-local [32,35], and would be too complicated for us to analyze. On the other hand given the adiabatic condition f (u) κ, in principle an analytic formula for the two point correlation function can be derived by the stochastic field approximation [36].…”

Section: Time-dependent Supertranslation Casementioning

confidence: 99%

Modification to the Hawking temperature of a dynamical black hole by a flow-induced supertranslation

Chiang

Kung

Chen

2020

J. High Energ. Phys.

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One interesting proposal to solve the black hole information loss paradox without modifying either general relativity or quantum field theory, is the soft hair, a diffeomorphism charge that records the anisotropic radiation in the asymptotic region. This proposal, however, has been challenged, given that away from the source the soft hair behaves as a coordinate transformation that forms an Abelian group, thus unable to store any information. To maintain the spirit of the soft hair but circumvent these obstacles, we consider Hawking radiation as a probe sensitive to the entire history of the black hole evaporation, where the soft hairs on the horizon are induced by the absorption of a null anisotropic flow, generalizing the shock wave considered in [1, 2]. To do so we introduce two different time-dependent extensions of the diffeomorphism associated with the soft hair, where one is the backreaction of the anisotropic null flow, and the other is a coordinate transformation that produces the Unruh effect and a Doppler shift to the Hawking spectrum. Together, they form an exact BMS charge generator on the entire manifold that allows the nonperturbative analysis of the black hole horizon, whose surface gravity, i.e. the Hawking temperature, is found to be modified. The modification depends on an exponential average of the anisotropy of the null flow with a decay rate of 4M, suggesting the emergence of a new 2-D degree of freedom on the horizon, which could be a way out of the information loss paradox.

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“…So why does the FDR obtained from the nonequilibrium dynamics of an open system as described in [34] come to be the same as that derived from LRT?…”

Section: Differences From Fdr Via Lrtmentioning

confidence: 99%

Fluctuation-dissipation and correlation-propagation relations in (1 + 3)D moving detector-quantum field systems

Hsiang

Lin

et al. 2019

Physics Letters B

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The fluctuation-dissipation relations (FDR) are powerful relations which can capture the essence of the interplay between a system and its environment. Challenging problems of this nature which FDRs aid in our understanding include the backreaction of quantum field processes like particle creation on the spacetime dynamics in early universe cosmology or quantum black holes. The less familiar, yet equally important correlation-propagation relations (CPR) relate the correlations of stochastic forces on different detectors to the retarded and advanced parts of the radiation propagated in the field. Here, we analyze a system of N uniformly-accelerated Unruh-DeWitt detectors whose internal degrees of freedom (idf) are minimally coupled to a real, massless, scalar field in 4D Minkowski space, extending prior work in 2D with derivative coupling. Using the influence functional formalism, we derive the stochastic equations describing the nonequilibrium dynamics of the idfs. We show after the detector-field dynamics has reached equilibration the existence of the FDR and the CPR for the detectors, which combine to form a generalized fluctuation-dissipation matrix relation We show explicitly the energy flows between the constituents of the system of detectors and between the system and the quantum field environment.This power balance anchors the generalized FDR. We anticipate this matrix relation to provide a useful guardrail in expounding some basic issues in relativistic quantum information, such as ensuring the self-consistency of the energy balance and tracking * Electronic address:

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Fluctuation-dissipation and correlation-propagation relations from the nonequilibrium dynamics of detector-quantum field systems

Cited by 27 publications

References 62 publications

Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation or Radiation Reaction

Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation or Radiation Reaction

Modification to the Hawking temperature of a dynamical black hole by a flow-induced supertranslation

Fluctuation-dissipation and correlation-propagation relations in (1 + 3)D moving detector-quantum field systems

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Fluctuation-dissipation and correlation-propagation relations from the nonequilibrium dynamics of detector-quantum field systems

Cited by 27 publications

References 62 publications

Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation or Radiation Reaction

Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation or Radiation Reaction

Modification to the Hawking temperature of a dynamical black hole by a flow-induced supertranslation

Fluctuation-dissipation and correlation-propagation relations in (1 + 3)D moving detector-quantum field systems

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Fluctuation-dissipation and correlation-propagation relations in (1 + 3)D moving detector-quantum field systems