Thermality and athermality in the Unruh effect

Abstract

In idealized treatments of the Unruh effect, a two-level atom is accelerated in a prescribed classical trajectory through the vacuum of a quantum field -- the Unruh bath -- which causes the atom's internal state to thermalize to a temperature proportional to the acceleration. This happens via emission and absorption of quanta by the atom, leading to a detailed balance between fluctuations in the Unruh bath and associated dissipation of the atom's internal energy. In any physical manifestation of the Unruh effect, the center-of-mass (CoM) degree of freedom of the atom is dynamical, and is therefore coupled to the Unruh bath via momentum recoil during the absorption/emission process. We study this scenario and show how the fluctuation-dissipation theorem fails for the CoM degree of freedom, while still being upheld for the internal energy. That is, the CoM of an accelerated atom is not in thermal equilibrium with the Unruh bath, while its internal level can be.

6+5 pages

References in corpus (18)

• The Unruh effect and its applications
• Enhancing Acceleration Radiation from Ground-State Atoms via Cavity Quantum Electrodynamics
• Using Berry's phase to detect the Unruh effect at lower accelerations
• Exercices de style: a homotopy theory for set theory, I
• Hawking radiation, Unruh radiation and the equivalence principle
• Radiation from Atoms Falling into a Black Hole
• Detecting Acceleration-Enhanced Vacuum Fluctuations with Atoms Inside a Cavity
• Acceleration-induced effects in stimulated light-matter interactions
• Second-quantized Unruh-DeWitt detectors and their quantum reference frame transformations
• Cavity optimization for Unruh effect at small accelerations
• Inversion of statistics and thermalization in the Unruh effect
• Unruh effect with back reaction--A first quantized treatment
• Unruh Effect of Detectors with Quantized Center-of-Mass
• The accelerated observer with back-reaction effects
• Decoherence by warm horizons
• Local Description of Decoherence of Quantum Superpositions by Black Holes and Other Bodies
• The accelerated observer and quantum effects
• Relativistic Unruh-DeWitt detectors with quantized center of mass

Cited by in corpus (2)

• Acceleration Radiation of Freely Falling Atoms: Nonlinear Electrodynamic Effects
• Quasinormal Mode Spectroscopy via Horizon-Brightened Quantum Optics