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We discuss the behaviour of external fields that interact with a Dirac neutral particle with a permanent electric dipole moment in order to achieve relativistic bound states solutions in a noninertial frame and in the presence of a…

Mathematical Physics · Physics 2012-11-30 Knut Bakke

In quantum field theory, the vacuum is popularly considered to be a complex medium populated with virtual particle + antiparticle pairs. To an observer experiencing uniform acceleration, it is generally held that these virtual particles…

General Physics · Physics 2026-04-28 Alexandre Deur , Stanley J. Brodsky , Craig D. Roberts , Balša Terzić

In this article the methods of canonical analysis and quantization that were reviewed in the first part of the series are applied to the case of the Dirac field in the presence of electromagnetic interaction. It is shown that the…

Mathematical Physics · Physics 2010-11-15 Marcin Kaźmierczak

We investigate the interaction between a moving detector and a quantum field, especially about how the trajectory of the detector would affect the vacuum fluctuations when the detector is moves in a quantum field (the Unruh effect). We…

Quantum Physics · Physics 2021-09-01 I-Chin Wang

We propose a scheme to study the effect of motion on measurements of a quantum field carried out by a finite-size detector. We introduce a model of projective detection of a localised field mode in an arbitrary reference frame. We apply it…

Quantum Physics · Physics 2014-05-29 Andrzej Dragan , Jason Doukas , Eduardo Martin-Martinez , David Edward Bruschi

The Dirac equation for charged and neutral fermions with anomalous magnetic moments is solved in a uniform magnetic field. We find the relativistic wave functions and energy spectra. In the non-relativistic limit the wave functions and…

Mathematical Physics · Physics 2012-05-25 M. Pitschmann , A. N. Ivanov

We show under what conditions an accelerated detector (e.g., an atom/ion/molecule) thermalizes while interacting with the vacuum state of a quantum field in a setup where the detector's acceleration alternates sign across multiple optical…

Quantum Physics · Physics 2021-11-09 Silas Vriend , Daniel Grimmer , Eduardo Martín-Martínez

We describe a new class of exact square integrable solutions of the Pauli and Dirac equation in rotating electromagnetic fields. Solutions obtained by putting equations in the stationary form with help of a coordinate transformation…

Mathematical Physics · Physics 2011-06-03 B. V. Gisin

Quantum simulation is a powerful tool to study a variety of problems in physics, ranging from high-energy physics to condensed-matter physics. In this article, we review the recent theoretical and experimental progress in quantum simulation…

Quantum Gases · Physics 2012-03-28 Dan-Wei Zhang , Zi-Dan Wang , Shi-Liang Zhu

Quantum radiated power emitted by an Unruh-DeWitt (UD) detector in linear oscillatory motion in (3+1)D Minkowski space, with the internal harmonic oscillator minimally coupled to a massless scalar field, is obtained non-perturbatively by…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Shih-Yuin Lin

The paradigmatic Unruh radiation is an ideal and simple case of stationary vacuum radiation patterns related to worldlines defined as Frenet-Serret curves. We review the corresponding body of literature as well as the experimental proposals…

High Energy Physics - Theory · Physics 2010-11-15 H. C. Rosu

We consider a particle detector model on 1+1-dimensional Minkowski space-time that is accelerated by a constant external acceleration a. The detector is coupled to a massless scalar test field. Due to the Unruh effect, this detector becomes…

High Energy Physics - Theory · Physics 2013-05-14 Franz Thoma

A new theoretical framework to describe the experimental advances in electro-optic detection of broadband quantum states, specifically the quantum vacuum, is devised. By making use of fundamental concepts from quantum field theory on…

The Unruh effect predicts a thermal response for an accelerated detector moving through the vacuum. Here we propose an interferometric scheme to observe an analogue of the circular Unruh effect using a localized laser coupled to a…

General Relativity and Quantum Cosmology · Physics 2020-12-22 Cisco Gooding , Steffen Biermann , Sebastian Erne , Jorma Louko , William G. Unruh , Joerg Schmiedmayer , Silke Weinfurtner

We have investigated the Unruh effect in Anti de-Sitter (AdS) spacetime by examining the response function of an Unruh-DeWitt particle detector with uniform constant acceleration. An exact expression of the detector response function for…

High Energy Physics - Theory · Physics 2021-09-14 Shahnewaz Ahmed , Mir Mehedi Faruk

In this study, we investigate the signature of the Unruh effect in quantum radiation from an accelerated charged particle interacting with vacuum fluctuations. Because a charged particle in uniformly accelerated motion exhibits thermal…

High Energy Physics - Theory · Physics 2019-02-27 Naritaka Oshita , Kazuhiro Yamamoto , Sen Zhang

In this paper, we extend the Unruh-DeWitt (UDW) model to include a relativistic quantized center of mass (c.m.) for the detector, which traditionally has a classical c.m. and follows a classical trajectory. We develop a relativistic model…

Quantum Physics · Physics 2023-04-05 Evan P. G. Gale , Magdalena Zych

We study one-dimensional Dirac fermions in the presence of a spatially-varying Dirac velocity $v(x)$, that can form an approximate lab-based Rindler Hamiltonian describing an observer accelerating in Minkowski spacetime. A sudden switch…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Khristian B. Tallent , Daniel E. Sheehy

We study the relations between massless Dirac fermions in an electromagnetic field and atoms in quantum optics. After getting the solutions of the energy spectrum, we show that it is possible to reproduce the 2D Dirac Hamiltonian, with all…

High Energy Physics - Theory · Physics 2015-05-27 Ahmed Jellal , Abderrahim El Mouhafid , Mohammed Daoud

This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are found as critical points of an energy functional. Contrary to…

Mathematical Physics · Physics 2008-10-27 Maria J. Esteban , Mathieu Lewin , Eric séré