Circular motion analogue Unruh effect in a $2+1$ thermal bath: Robbing from the rich and giving to the poor

Abstract

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences the Minkowski vacuum as a thermal state at temperature $T_U=a/(2\pi )$. An observer in uniform circular motion experiences a similar effective temperature, operationally defined in terms of excitation and de-excitation rates, and physically interpretable in terms of synchrotron radiation, but this effective temperature depends not just on the acceleration but also on the orbital speed and the excitation energy. In this paper we consider an observer in uniform circular motion when the Minkowski vacuum is replaced by an ambient thermal bath, and we address the interplay of ambient temperature, Doppler effect, acceleration, and excitation energy. Specifically, we consider a massless scalar field in $2+1$ spacetime dimensions, probed by an Unruh-DeWitt detector, in a Minkowski (rather than proper) time formulation: this setting describes proposed analogue spacetime systems in which the effect may become experimentally testable, and in which an ambient temperature will necessarily be present. We establish analytic results for the observer's effective temperature in several asymptotic regions of the parameter space and provide numerical results in the interpolating regions, finding that an acceleration effect can be identified even when the Doppler effect dominates the overall magnitude of the response. We also identify parameter regimes where the observer sees a temperature lower than the ambient temperature, experiencing a cooling Unruh effect.

arXiv comment24 pages, 5 figures. v2: references added, typos corrected. v3: references added, section 2 expanded after referee comments, typos corrected

References in corpus (35)

• Analogue Gravity
• Quantum Spacetime Phenomenology
• Acceleration Radiation for Orbiting Electrons
• Stochastic Theory of Accelerated Detectors in a Quantum Field
• Backreaction and Unruh effect: New insights from exact solutions of uniformly accelerated detectors
• Interferometric Unruh detectors for Bose-Einstein condensates
• Detection of acceleration radiation in a Bose-Einstein condensate
• Waiting for Unruh
• Onset and decay of the 1+1 Hawking-Unruh effect: what the derivative-coupling detector saw
• Static detectors and circular-geodesic detectors on the Schwarzschild black hole
• Anti-Unruh Phenomena
• Thermalization of particle detectors: The Unruh effect and its reverse
• The Fulling-Unruh effect in general stationary accelerated frames
• Unruh and analogue Unruh temperatures for circular motion in 3+1 and 2+1 dimensions
• Accelerated Electrons and the Unruh Effect
• Detecting Acceleration-Enhanced Vacuum Fluctuations with Atoms Inside a Cavity
• The BTZ black hole exhibits anti-Hawking phenomena
• Entanglement of two qubits in a relativistic orbit
• Motion of a mirror under infinitely fluctuating quantum vacuum stress
• Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event
• Entanglement dynamics for Unruh-DeWitt detectors interacting with massive scalar fields: The Unruh and anti-Unruh effects
• Quantum fields during black hole formation: How good an approximation is the Unruh state?
• Unruh-like effects: Effective temperatures along stationary worldlines
• Would quantum entanglement be increased by anti-Unruh effect?
• Background Thermal Contributions in Testing the Unruh Effect
• Genuine multipartite entanglement subject to the Unruh and anti-Unruh effects
• Dynamical behavior and geometric phase for a circularly accelerated two-level atom
• Entanglement generation for uniformly accelerated atoms assisted by environment-induced interatomic interaction and the loss of the anti-Unruh effect
• Influence of acceleration on multi-body entangled quantum states
• Zero-point excitation of a circularly moving detector in an atomic condensate and phonon laser dynamical instabilities
• Comments on the anti-Hawking effect on a BTZ black hole spacetime
• Anti-Hawking Phenomena around a Rotating BTZ Black Hole
• Anti-Unruh effect in the thermal background
• Decoherence of Topological Qubit in Linear and Circular Motions: Decoherence Impedance, Anti-Unruh and Information Backflow
• Background thermal depolarization of electrons in storage rings

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• Connecting the circular and drifted Rindler Unruh effects
• Stationary trajectories in Minkowski spacetimes
• Making two particle detectors in flat spacetime communicate quantumly
• Non-linear effective field theory simulators in two-fluid interfaces
• Significant circular Unruh effect at small acceleration
• Derivative coupling enables genuine entanglement harvesting in causal communication
• Duality between amplitude and derivative coupled particle detectors in the limit of large energy gaps
• How cosmological expansion affects communication between distant quantum systems
• Extensive manipulation of transition rates and substantial population inversion of rotating atoms inside a cavity
• Vacua in locally de Sitter cosmologies, and how to distinguish them
• Waiting around for Unruh
• Repeated measurements on non-replicable systems and their consequences for Unruh-DeWitt detectors
• Nondestructive optomechanical detection scheme for Bose-Einstein condensates
• Probing non-equilibrium steady states of the Klein-Gordon field with Unruh-DeWitt detectors
• N-Photon Emission from Uniform Acceleration
• Thermodynamic uncertainty relations for relativistic quantum thermal machines