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We study the detailed balance temperatures recorded along all classes of stationary, uniformly accelerated worldlines in four-dimensional Minkowski spacetime, namely along (i) linear uniform acceleration, (ii) cusped, (iii) circular, (iv)…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Michael Good , Benito A. Juárez-Aubry , Dimitris Moustos , Maksat Temirkhan

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 analyse the response function of an Unruh--DeWitt detector moving with time-dependent acceleration along a one-dimensional trajectory in Minkowski spacetime. To extract the physics of the process, we propose an adiabatic expansion of…

General Relativity and Quantum Cosmology · Physics 2012-10-26 Luis C. Barbado , Matt Visser

Recently, interest has been growing in studies on discrete or "pixelated" space-time that, through modifications in the dispersion relation, can treat the vacuum as a dispersive medium. Discrete spacetime considers that spacetime has a…

High Energy Physics - Theory · Physics 2025-01-16 Pedro H. M. Barros , Helder A. S. Costa

We examine an Unruh-DeWitt particle detector which couples linearly to the scalar density of a massless Dirac field on the static cylindrical quotient of the (1+1)-dimensional Minkowski spacetime, allowing the detector's motion to remain…

General Relativity and Quantum Cosmology · Physics 2016-01-28 Jorma Louko , Vladimir Toussaint

We investigate detection of Dirac quanta in a uniformly eccentric rotating frame both with canonical and detector approaches by employing relativistic rotational transformations. First we consider a relativistic uniformly eccentric rotating…

General Relativity and Quantum Cosmology · Physics 2019-09-04 H. Ramezani-Aval

We treat an Unruh-DeWitt detector as an open quantum system and evaluate the response of a uniformly accelerated detector: (i) interacting locally with the derivatives of a massless scalar field and (ii) linearly coupled to an…

General Relativity and Quantum Cosmology · Physics 2018-09-17 Dimitris Moustos

In this paper, we show that the causally connected $4$-dimensional line element of the $\kappa$-deformed Minkowski space-time induces an upper cut-off on the proper acceleration and derive this maximal acceleration, valid up to first order…

High Energy Physics - Theory · Physics 2026-02-09 E. Harikumar , Leela Ganesh Chandra Lakkaraju , Vishnu Rajagopal

The Unruh effect is the phenomenon that accelerated observers detect particles even when inertial observers experience the vacuum state. In particular, uniformly accelerated observers are predicted to measure thermal radiation that is…

Quantum Physics · Physics 2020-08-06 Luis C. Barbado , Esteban Castro-Ruiz , Luca Apadula , Časlav Brukner

The Unruh effect refers to the thermal fluctuations a detector experiences while undergoing linear motion with uniform acceleration in a Minkowski vacuum. This thermality can be demonstrated by tracing the vacuum state of the field over the…

General Relativity and Quantum Cosmology · Physics 2013-12-10 Jason Doukas , Shih-Yuin Lin , B. L. Hu , Robert B. Mann

In a quantum sense, vacuum is not an empty void but full of virtual particles (fields). It may have long-range properties, be altered, and even undergo phase transitions. It is suggested that long-range properties of a quantum vacuum may be…

High Energy Physics - Theory · Physics 2022-09-28 Shijing Cheng , Wenting Zhou , Hongwei Yu

As it is well known, the Minkowski vacuum appears thermally populated to a quantum mechanical detector on a uniformly accelerating course. We investigate how this thermal radiation may contribute to the classical nature of the detector's…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. - G. Demers

We show an implementation of a kappa-deformed Dirac equation in tight-binding arrays of photonic waveguides. This is done with a special configuration of couplings extending to second nearest neighbors. Geometric manipulations can control…

High Energy Physics - Lattice · Physics 2021-07-28 Parisa Majari , Emerson Sadurni , Mohammad Reza Setare , John Alexander Franco-Villafane , Thomas H. Seligman

We study the generalized Unruh effect for accelerated reference frames that include rotation in addition to acceleration. We focus particularly on the case where the motion is planar, with presence of a static limit in addition to the event…

High Energy Physics - Theory · Physics 2009-11-10 Jan Ivar Korsbakken , Jon Magne Leinaas

In this paper, we present the results of our investigation relating particle dynamics and non-commutativity of space-time by using Dirac's constraint analysis. In this study, we re-parameterise the time $t=t(\tau)$ along with $x=x(\tau)$…

General Physics · Physics 2018-08-28 Partha Nandi , Sayan Kumar Pal , Ravikant Verma

In Minkowski space, an accelerated reference frame may be defined as one that is related to an inertial frame by a sequence of instantaneous Lorentz transformations. Such an accelerated observer sees a causal horizon, and the quantum vacuum…

High Energy Physics - Theory · Physics 2014-11-21 Nirmalendu Acharyya , Sachindeo Vaidya

In this paper, we present the results of our investigation on the modification of Zitterbewegung due to the noncommutativity of the space-time. First, we study the effect of $\kappa$-deformation of the space-time on Zitterbewegung. For…

General Physics · Physics 2017-04-19 Ravikant Verma , Aritra N Bose

We derive the response function for a comoving, pointlike Unruh-DeWitt particle detector coupled to a complex scalar field $\phi$, in the $(3+1)$-dimensional cosmological de Sitter spacetime. The field-detector coupling is taken to be…

High Energy Physics - Theory · Physics 2021-02-19 Md. Sabir Ali , Sourav Bhattacharya , Kinjalk Lochan

We consider a pair of two-level Unruh-DeWitt detectors accelerated uniformly in the Minkowski vacuum of a massless neutral scalar field, and analyze, within the perturbation theory, the entanglement extracted from the vacuum into the…

Quantum Physics · Physics 2019-10-02 Jun-ichirou Koga , Kengo Maeda , Gen Kimura

We examine the Unruh-DeWitt particle detector coupled to a scalar field in an arbitrary Hadamard state in four-dimensional curved spacetime. Using smooth switching functions to turn on and off the interaction, we obtain a regulator-free…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jorma Louko , Alejandro Satz