Ambient temperature versus ambient acceleration in the circular motion Unruh effect

Abstract

It is well known that the experience of a linearly accelerated observer with acceleration $a$, interacting with a massless scalar field in its vacuum state in $3+1$ Minkowski spacetime, is identical to that of a static observer interacting with a massless scalar field in a thermal state of temperature $a/2\pi$ in $3+1$ Minkowski spacetime. We study the robustness of this duality by comparing an observer undergoing circular motion in a thermal bath with an observer that undergoes circular motion around a linearly accelerated trajectory. We find that in most regimes, observers in these two cases experience the field in different ways, and are generally able to tell the difference between the two cases by measuring observables localized along their trajectories.

arXiv comment19 pages, 3 figures. v2: sections 2 and 6 expanded after referee comments. v3: typos corrected. v4: added post-publication note

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Cited by in corpus (12)

• Third sound detectors in accelerated motion
• Connecting the circular and drifted Rindler Unruh effects
• Making two particle detectors in flat spacetime communicate quantumly
• Significant circular Unruh effect at small acceleration
• How cosmological expansion affects communication between distant quantum systems
• Waiting around for Unruh
• Disjointness of inertial KMS states and the role of Lorentz symmetry in thermalization
• Extensive manipulation of transition rates and substantial population inversion of rotating atoms inside a cavity
• Repeated measurements on non-replicable systems and their consequences for Unruh-DeWitt detectors
• A relativistic QFT description for the interaction of a spin with a magnetic field
• Probing non-equilibrium steady states of the Klein-Gordon field with Unruh-DeWitt detectors
• Thermodynamic uncertainty relations for relativistic quantum thermal machines