Fluctuation-Dissipation and Correlation-Propagation Relations in D Moving Detector-Quantum Field Systems
arXiv:1906.00530 · doi:10.1016/j.physletb.2019.06.062
Abstract
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 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 {\it 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 the quantum information transfer in the detector-field system.
arXiv comment16 pages
References in corpus (25)
- Quantum entanglement
- The critical manifold of the Lorentz-Dirac equation
- A Fluctuation-Dissipation Relation for Semiclassical Cosmology
- Stochastic semiclassical equations for weakly inhomogeneous cosmologies
- Relativistic Quantum Information in Detectors-Field Interactions
- Backreaction and Unruh effect: New insights from exact solutions of uniformly accelerated detectors
- Stochastic Theory of Accelerated Detectors in a Quantum Field
- Accelerated Detector - Quantum Field Correlations: From Vacuum Fluctuations to Radiation Flux
- Entanglement creation between two causally-disconnected objects
- Non-equilibrium dynamics of a thermal plasma in a gravitational field
- Near-Thermal Radiation in Detectors, Mirrors and Black Holes: A Stochastic Approach
- Disentanglement of two harmonic oscillators in relativistic motion
- Temporal and Spatial Dependence of Quantum Entanglement from a Field Theory Perspective
- Unruh Effect under Non-equilibrium conditions: Oscillatory motion of an Unruh-DeWitt detector
- On the Problem of the Uniformly Accelerated Oscillator
- Uniformly Accelerated Charge in a Quantum Field: From Radiation Reaction to Unruh Effect
- Quantum thermodynamics from the nonequilibrium dynamics of open systems: energy, heat capacity and the third law
- Entanglement of the Vacuum between Left, Right, Future, and Past: The Origin of Entanglement-Induced Quantum Radiation
- The Energy-Momentum Tensor in Fulling-Rindler Vacuum
- Nonequilibrium Steady State in Open Quantum Systems: Influence Action, Stochastic Equation and Power Balance
- Thermodynamics of quantum systems strongly coupled to a heat bath I. Operator thermodynamic functions and relations
- Entanglement, recoherence and information flow in an accelerated detector - quantum field system: Implications for black hole information issue
- Fluctuation-Dissipation and Correlation-Propagation Relations from the Nonequilibrium Dynamics of Detector-Quantum Field Systems
- Quantum radiation by an Unruh-DeWitt detector in oscillatory motion
- Is there emitted radiation in Unruh effect?
Cited by in corpus (12)
- Quantum Noise of Gravitons and Stochastic Force on Geodesic Separation
- Fluctuation-Dissipation Relation from the Nonequilibrium Dynamics of a Nonlinear Open Quantum System
- Fluctuation-Dissipation and Correlation-Propagation Relations from the Nonequilibrium Dynamics of Detector-Quantum Field Systems
- Atom-Field Interaction: From Vacuum Fluctuations to Quantum Radiation and Quantum Dissipation / Radiation Reaction
- Nonequilibrium Nonlinear Open Quantum Systems I. Functional Perturbative Analysis of a Weakly Anharmonic Oscillator
- Fluctuation-Dissipation Relation for Open Quantum Systems in Nonequilibrium Steady State
- Dynamical Response of an Unruh-DeWitt Detector in a Quantum Field over the History of the Universe
- Quantum Radiation and Dissipation in Relation to Classical Radiation and Radiation Reaction
- Foundational Issues in Dynamical Casimir Effect and Analogue Features in Cosmological Particle Creation
- Zeroth Law in Quantum Thermodynamics at Strong Coupling: `in Equilibrium', not `Equal Temperature'
- Fluctuation-Dissipation Relation for a Quantum Brownian Oscillator in a Parametrically Squeezed Thermal Field
- Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum Dynamics of Cosmological Perturbations