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The nonlocal field theory commonly requires a minimal length, and so it appears to formulate the nonlocal theory in terms of the doubly special relativity which makes the speed of light and the minimal length invariant simultaneously. We…

General Physics · Physics 2018-08-15 Yongwan Gim , Hwajin Um , Wontae Kim

We present a closed-form analysis of second-order two-photon emission from a uniformly accelerated Unruh-DeWitt detector with a smooth Gaussian switch and derivative coupling. The time-ordered Dyson integrals are evaluated exactly, yielding…

General Physics · Physics 2025-09-19 Arash Azizi

How long does a uniformly accelerated observer need to interact with a quantum field in order to record thermality in the Unruh temperature? We address this question for a pointlike Unruh-DeWitt detector, coupled linearly to a real…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Christopher J. Fewster , Benito A. Juárez-Aubry , Jorma Louko

Motivated by the work of Scully \textit{et al.} [ \textcolor{blue}{Proc. Nat. Acad. Sci. 115, 8131 (2018)}] and Dolan \textit{et al.}[ \textcolor{blue}{New J. Phys. 22, 033026 (2020)}], we study the acceleration radiation from a two-level…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Reggie C. Pantig , Ali Övgün , Syed Masood , Li-Gang Wang

In this work we consider a quantum analog of Newton's bucket experiment in a flat spacetime: we take an Unruh-DeWitt detector in interaction with a real massless scalar field. We calculate the detector's excitation rate when it is uniformly…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. D. M. De Paola , N. F. Svaiter

We consider two-level detectors coupled to a scalar field and moving on arbitrary trajectories in Minkowski space-time. We first derive a generic expression for the response function using a (novel) regularization procedure based on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 N. Obadia , M. Milgrom

A quantum field theoretical approach, in which a quantum probe is used to investigate the properties generic non-flat FLRW space-times is discussed. The probe is identified with a conformally coupled massless scalar field defined on a…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Yevgeniya Rabochaya , Sergio Zerbini

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

The Unruh effect remains a central topic in quantum field theory, although its direct experimental verification continues to be challenging. Recent efforts have therefore focused on indirect detection strategies in which the Unruh effect…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Manuel de Atocha Rodríguez Fernández , Alexander I. Nesterov , Gennady P. Berman , C. Moreno-González

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 propose a scalar background in Minkowski spacetime imparting constant proper acceleration to a classical particle. In contrast to the case of a constant electric field the proposed scalar potential does not create particle-antiparticle…

High Energy Physics - Theory · Physics 2009-11-07 A. M. Fedotov , N. B. Narozhny , V. D. Mur , V. A. Belinski

We describe the quantum and classical radiation by a uniformly accelerating point source in terms of the elementary processes of absorption and emission of Rindler scalar photons of the Fulling-Davies-Unruh bath observed by a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 D. E. Diaz , J. Stephany

We derive the master equation that completely determines the time evolution of the density matrix of the Unruh-DeWitt detector in an arbitrary background geometry. We apply the equation to reveal a nonequilibrium thermodynamic character of…

High Energy Physics - Theory · Physics 2014-03-27 Masafumi Fukuma , Yuho Sakatani , Sotaro Sugishita

A study of the spin 1 Unruh-De Witt detectors interacting with a relativistic scalar quantum field is presented. After tracing out the field modes, the resulting density matrix for a bipartite qutrit system is employed to investigate the…

High Energy Physics - Theory · Physics 2024-07-26 F. M. Guedes , M. S. Guimaraes , I. Roditi , S. P. Sorella

The emergence of Lorentzian geometries in spin-foams and group field theories is investigated. The spectral dimension of periodic Euclidean spin-foam frusta is studied. At large scales, the spectral dimension is generically four. At lower…

General Relativity and Quantum Cosmology · Physics 2025-06-26 Alexander F. Jercher

In this paper, we employ the quantum regression theorem, a powerful tool in the study of open quantum systems, to analytically study the correlation functions of an Unruh-DeWitt detector, which is an uniformly accelerated two-level quantum…

Quantum Physics · Physics 2026-03-18 Manjari Dutta , Arnab Mukherjee , Sunandan Gangopadhyay

We study memory effects as information backflow for an accelerating two-level detector weakly interacting with a scalar field in the Minkowski vacuum. This is the framework of the well-known Unruh effect: the detector behaves as if it were…

Quantum Physics · Physics 2020-02-05 Boris Sokolov , Jorma Louko , Sabrina Maniscalco , Iiro Vilja

We study a lattice regularization of the gravitational path integral--causal dynamical triangulations--for (2+1)-dimensional Einstein gravity with positive cosmological constant in the presence of past and future spacelike boundaries of…

General Relativity and Quantum Cosmology · Physics 2014-01-16 Joshua H. Cooperman , Jonah Miller

In this paper, we consider the discrete fourth-order Schr\"{o}dinger equation on the lattice $h\mathbb{Z}^2$. Uniform Strichartz estimates are established by analyzing frequency localized oscillatory integrals with the method of stationary…

Analysis of PDEs · Mathematics 2025-01-22 Jiawei Cheng , Bobo Hua

We consider Brownian motions with one-sided collisions, meaning that each particle is reflected at its right neighbour. For a finite number of particles a Sch\"{u}tz-type formula is derived for the transition probability. We investigate an…

Mathematical Physics · Physics 2015-04-23 Patrik L. Ferrari , Herbert Spohn , Thomas Weiss