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We give a complete and rigorous proof of the Unruh effect, in the following form. We show that the state of a two-level system, uniformly accelerated with proper acceleration $a$, and coupled to a scalar bose field initially in the…

Mathematical Physics · Physics 2008-11-26 S. De Bievre , M. Merkli

We pose and solve the problem of quantum filtering based on continuous-in-time quadrature measurements (homodyning) for the case where the quantum process is in a thermal state. The standard construction of quantum filters involves the…

Quantum Physics · Physics 2026-01-13 John Gough

In the celebrated Unruh effect, we learn that a uniformly accelerating detector in a Minkowski vacuum spacetime registers a constant temperature. Building on prior work, we present a technique based on derivative couplings of the two-point…

General Relativity and Quantum Cosmology · Physics 2018-04-19 Aditya Dhumuntarao , José Tomás Gálvez Ghersi , Niayesh Afshordi

The generators of radial conformal symmetries in Minkowski space-time can be put in correspondence with generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the…

High Energy Physics - Theory · Physics 2024-05-07 Michele Arzano , Alessandra D'Alise , Domenico Frattulillo

We show that the Connes-Rovelli thermal time associated with the quantum harmonic oscillator can be described as an (unsharp) observable, that is, as a positive operator valued measure. We furthermore present extensions of this result to…

Mathematical Physics · Physics 2024-03-18 Jan van Neerven , Pierre Portal

In the present paper we study the entanglement properties of thermal (a.k.a. Gibbs) states of quantum harmonic oscillator systems as functions of the Hamiltonian and the temperature. We prove the physical intuition that at sufficiently high…

Quantum Physics · Physics 2008-03-07 Janet Anders , Andreas Winter

We investigate the sensing performance of a single-qubit quantum thermometer within a non-Markovian dynamical framework. By employing an exactly numerical hierarchical equations of the motion method, we go beyond traditional paradigms of…

Quantum Physics · Physics 2021-10-18 Ze-Zhou Zhang , Wei Wu

We study successive Rindler-like transformations in Minkowski spacetime and the corresponding sequence of vacuum states perceived by observers restricted to respective wedges. Extending the standard Rindler construction to an $n$-fold…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Nitesh K. Dubey , Jaswanth Uppalapati , Sanved Kolekar

The quantum-mechanical state vector is not directly observable even though it is the fundamental variable that appears in Schrodinger's equation. In conventional time-dependent perturbation theory, the state vector must be calculated before…

Quantum Physics · Physics 2009-11-07 J. D. Franson , Michelle M. Donegan

In the Contextuality-by-Default theory random variables representing measurement outcomes are labeled contextually, i.e., not only by what they measure but also under what conditions (in what contexts) the measurements are made, including…

Quantum Physics · Physics 2018-12-11 Ehtibar N. Dzhafarov

We revisit the thermal nature of the Unruh effect within a quantum thermodynamic framework. For a Unruh-deWitt (UDW) detector in $n$-dimensional Minkowski spacetime, we demonstrate that its irreversible thermalization to a Gibbs equilibrium…

High Energy Physics - Theory · Physics 2026-05-05 Zihao Wang , Wenjing Chen , Si-Wei Han , Xiaoshan Feng , Linmu Qiao , Zhichun Ouyang , Jun Feng

Understanding phases of matter is of both fundamental and practical importance. Prior to the widespread appreciation and acceptance of topological order, the paradigm of spontaneous symmetry breaking, formulated along the…

Quantum Physics · Physics 2021-04-28 Tie-Cheng Guo , Li You

Phase transitions occur when a macroscopic number of local degrees of freedom coherently change their behavior. In ground states of quantum many-body systems, phase transitions due to quantum fluctuations are observed as non-analytic…

Statistical Mechanics · Physics 2026-02-03 István Csépányi , Giuseppe Del Vecchio Del Vecchio , Benjamin Doyon , Márton Kormos

We propose an operational definition for the local temperature of a quantum field employing Unruh-DeWitt detectors, as used in the study of the Unruh and Hawking effects. With this definition, an inhomogeneous quantum system in equilibrium…

Quantum Physics · Physics 2017-04-03 Sandra Robles , Javier Rodriguez-Laguna

We investigate the relaxation dynamics of open non-integrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making…

Statistical Mechanics · Physics 2021-04-21 Hayate Nakano , Tatsuhiko Shirai , Takashi Mori

We demonstrate that the energy density of an accelerated fermion gas evaluated within quantum statistical approach in Minkowski space is related to a quantum correction to the vacuum expectation value of the energy-momentum tensor in a…

High Energy Physics - Theory · Physics 2019-12-18 George Y. Prokhorov , Oleg V. Teryaev , Valentin I. Zakharov

We give a simple argument to derive the transformation of quantum stochastic calculus formalism between inertial observers, and derive the quantum open system dynamics for a system moving in a vacuum (more generally coherent) quantum field…

Quantum Physics · Physics 2025-10-07 J. E. Gough

Conditional expectation values of quantum mechanical observables reflect unique non-classical correlations, and are generally sensitive to decoherence. We consider the circumstances under which such sensitivity to decoherence is removed,…

Quantum Physics · Physics 2019-01-25 M. Hamed Mohammady , Alessandro Romito

We generalize $1+1$-dimensional formalism derived by Ahmadi et. al. [Phys. Rev. D \textbf{93}, 124031] to investigate an effect of relativistic acceleration on localized two-mode Gaussian quantum states in $3+1$-dimensional spacetime. The…

Quantum Physics · Physics 2020-03-31 Piotr T. Grochowski , Krzysztof Lorek , Andrzej Dragan

We study the time evolution of correlation functions in closed quantum systems for nonequilibrium ensembles of initial conditions. For a scalar quantum field theory we show that generic time-reversal invariant evolutions approach…

High Energy Physics - Phenomenology · Physics 2010-02-04 J. Berges , J. Cox