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A simple model coupling a one-dimensional beam particle to a one-dimensional harmonic oscillator is used to explore complementarity and entanglement. This model, well-known in the inelastic scattering literature, is presented under three…

Quantum Physics · Physics 2023-09-26 David Kordahl

We discuss how to formulate a condition for choosing the vacuum state of a quantum scalar field on a timelike hyperplane in the general boundary formulation (GBF) using the coupling to an Unruh-DeWitt detector. We explicitly study the…

High Energy Physics - Theory · Physics 2015-06-05 Ralf Banisch , Frank Hellmann , Dennis Raetzel

It is well known that quantum-mechanical perturbation theory often give rise to divergent series that require proper resummation. Here I discuss simple ways in which these divergences can be avoided in the first place. Using the elementary…

Quantum Physics · Physics 2022-12-19 Matteo Smerlak

We examine an Unruh-DeWitt particle detector coupled to a scalar field in three-dimensional curved spacetime, within first-order perturbation theory. We first obtain a causal and manifestly regular expression for the instantaneous…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Lee Hodgkinson , Jorma Louko

In the presence of interactions the frequency of a simple harmonic oscillator deviates from the noninteracting one. Various methods can be used to compute the changes to the frequency perturbatively. Some of them resemble the methods used…

Classical Physics · Physics 2021-09-06 Saman Moghimi-Araghi , Farhang Loran

We investigate when temporal ordering becomes operationally meaningful in relativistic quantum field theory using localized detector models. A time parameter alone does not ensure that different sequences of operations are physically…

Quantum Physics · Physics 2026-04-29 Marcello Rotondo

We present a simple and efficient method to incorporate anharmonic effects in the vibrational \textcolor{black}{analyses} of molecules within density functional theory (DFT) calculations. This approach is closely related to the traditional…

Recently, a self-contained trajectory-based formulation of non-relativistic quantum mechanics was developed [Ann. Phys. 315, 505 (2005); Chem. Phys. 370, 4 (2010); J. Chem. Phys. 136, 031102 (2012)], that makes no use of wavefunctions or…

Quantum Physics · Physics 2012-08-31 Bill Poirier

The Unruh effect is the prediction that particle detectors accelerated through the vacuum get excited by the apparent presence of radiation quanta -- a fundamental quantum phenomenon in the presence of acceleration. Prior treatments of the…

Quantum Physics · Physics 2021-06-02 Vivishek Sudhir , Nadine Stritzelberger , Achim Kempf

Cosmological particle creation is the phenomenon by which the expansion of spacetime results in the production of particles of a given quantum field in that spacetime. In this paper, we study this phenomenon by considering a multi-level…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Laura Niermann , Luis C. Barbado

We propose a new type of the Unruh-DeWitt detector which measures the decoherence of the reduced density matrix of the detector interacting with the massless quantum scalar field. We find that the decoherence decay rates are different in…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Alexander I Nesterov , Gennady P Berman , Manuel A Rodríguez Fernández , Xidi Wang

Noise on quantum devices is much more complex than it is commonly given credit. Far from usual models of decoherence, nearly all quantum devices are plagued both by a continuum of environments and temporal instabilities. These induce noisy…

Quantum Physics · Physics 2025-08-27 Gregory A. L. White , Petar Jurcevic , Charles D. Hill , Kavan Modi

The analysis of uniformly longitudinally extended detector is performed and it is shown that the response of such a detector does not differ from the response of the Unruh detector, but the its excitation is caused not by the thermal bath,…

Quantum Physics · Physics 2019-04-23 Constantin V. Usenko , B. I. Lev

The quantum theory of a harmonic oscillator with a time dependent frequency arises in several important physical problems, especially in the study of quantum field theory in an external background. While the mathematics of this system is…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Gaurang Mahajan , T. Padmanabhan

We analyze relativistic corrections to the wave-packet dynamics of the quantum harmonic oscillator within a perturbative framework. General expressions are derived for the leading-order relativistic contributions to the wave-packet…

Quantum Physics · Physics 2026-03-10 Jian Carlo Ramos , Sujoy K. Modak

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…

High Energy Physics - Theory · Physics 2020-07-01 A. P. C. M. Lima , G. Alencar , R. R. Landim

In this work, we investigate the velocity effects on information degradation due to the Unruh effect in accelerated quantum systems (with finite interaction time). We consider a detector moving along a spatial trajectory within a…

Quantum Physics · Physics 2026-03-19 P. H. M. Barros , Shu-Min Wu , C. A. S. Almeida , H. A. S. Costa

Dynamical evolution of the quantum ground state (vacuum) is analyzed for time variant harmonic oscillators characterized by asymptotically constant frequency. The oscillatory density matrix in the asymptotic future is uniquely determined by…

High Energy Physics - Theory · Physics 2007-05-23 M. Yoshimura

We re-derive the Schr\"{o}dinger-Robertson uncertainty principle for the position and momentum of a quantum particle. Our derivation does not directly employ commutation relations, but works by reduction to an eigenvalue problem related to…

Quantum Physics · Physics 2012-11-15 A. Mandilara , N. J. Cerf

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization…

Disordered Systems and Neural Networks · Physics 2012-05-24 Ehsan Khatami , Marcos Rigol , Armando Relaño , Antonio M. Garcia-Garcia
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