Abstract

The study of the Unruh effect naturally raises the interest for a deeper understanding of the analogy between temperature and acceleration. A recurring question is whether an accelerated frame can be distinguished from an inertial thermal bath in pure thermodynamic experiments, such problem has been approached in the literature and a consensus is yet to be fully reached. In the present work we use the open quantum system formalism to investigate the case where both acceleration and background temperature are present. We find the asymptotic state density and entanglement generation from the Markovian evolution of accelerated qubits interacting with a thermal state of the external scalar field. Our results suggest that there is a very small asymmetry on the effects of the Unruh and background temperatures. Addressing the nonzero background temperature case is of both theoretical and phenomenological interest, thus the authors hope to enrich the existing discussions on the topic.

Highlights

  • The Minkowski vacuum, a Lorentz invariant, turns out to be seen as a Planckian thermal spectrum of particles in the frame of a uniformly accelerated observer; this is the widely known Unruh effect [1,2,3]

  • A more recent point of view to the examination of Unruh thermalization has been addressed by considering a similar detector and field setup in the context of open quantum systems governed by a Markovian master equation [6]

  • We propose to analyze the Unruh effect in the presence of nonzero thermal background temperature in the view of open quantum systems

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Summary

INTRODUCTION

The Minkowski vacuum, a Lorentz invariant, turns out to be seen as a Planckian thermal spectrum of particles in the frame of a uniformly accelerated observer; this is the widely known Unruh effect [1,2,3]. A more recent point of view to the examination of Unruh thermalization has been addressed by considering a similar detector and field setup in the context of open quantum systems governed by a Markovian master equation [6] This approach provides a richer analysis of the evolution of the system and the study of the phenomenon of entanglement generation for multiparticle detectors. [20,21,22], it is argued that some quantities such as density operator and detector response function are symmetric in background and Unruh temperatures, while [23] shows some aspects of distinguishability Motivated by this problem, we propose to analyze the Unruh effect in the presence of nonzero thermal background temperature in the view of open quantum systems.

MARKOVIAN EVOLUTION OF DETECTORS IN MINKOWSKI VACUUM
Time evolution for a single particle The total system Hamiltonian is
B A ni tanh βUω 2 ni: ð17Þ
Two particles and entanglement generation
FINITE TEMPERATURE BACKGROUND
Discussing realistic values
FINAL REMARKS
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