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In this paper, we define a quantum analogue of the notion of empirical measure in the classical mechanics of $N$-particle systems. We establish an equation governing the evolution of our quantum analogue of the $N$-particle empirical…

Analysis of PDEs · Mathematics 2019-07-03 François Golse , Thierry Paul

A quantum inequality for the quantized electromagnetic field is developed for observers in static curved spacetimes. The quantum inequality derived is a generalized expression given by a mode function expansion of the four-vector potential,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Michael J. Pfenning

In the two papers [T. Kiss, U. Herzog, and U. Leonhardt, Phys. Rev. A 52, 2433 (1995); U. Herzog, Phys. Rev. A 53, 1245 (1996)] with titles similar to the one given above, the authors assert that in some cases it is possible to compensate a…

Quantum Physics · Physics 2009-10-30 G. M. D'Ariano , C. Macchiavello

One-particle energy eigenfunctions are used to obtain quantum averages in many particle systems. These are based on the effective local field due to fixed neighbors in classical phase space, while the averages account for the…

Quantum Physics · Physics 2020-05-14 Phil Attard

We offer a novel derivation of the electromagnetic self-force acting on a charged particle moving in an arbitrary curved spacetime. Our derivation is based on a generalization from flat spacetime to curved spacetime of the extended-body…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Javier Molina Sanchez , Eric Poisson

We describe space--time fluctuations by means of small fluctuations of the metric on a given background metric. From a minimally coupled Klein--Gordon equation we obtain within a weak-field approximation up to second order and an averaging…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ertan Göklü , Claus Lämmerzahl

We study the coherence in time and space of electromagnetic fields propagated through complex media. Whether for localization, imaging or telecommunication, the development of dedicated numerical techniques is generally based on the…

Computational Physics · Physics 2022-04-21 Thomas Fromenteze , Matthieu Davy , Okan Yurduseven , Yann Marie-Joseph , Cyril Decroze

We generalize some results of Ford and Roman constraining the possible behaviors of renormalized expected stress-energy tensors of a free massless scalar field in two dimensional Minkowski spacetime. Ford and Roman showed that the energy…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Eanna E. Flanagan

Standard approaches to quantum gravity start with a pre-spacetime structure and attempt, in accordance with Bohr's correspondence principle, to recover the pseudo-Riemannian manifold in the low energy limit. These approaches assume there is…

General Relativity and Quantum Cosmology · Physics 2011-04-26 Kaća Bradonjić

The laws of quantum mechanics place fundamental limits on the accuracy of measurements and therefore on the estimation of unknown parameters of a quantum system. In this work, we prove lower bounds on the size of confidence regions reported…

Quantum Physics · Physics 2014-12-23 Michael Walter , Joseph M. Renes

By generalizing the quantum weak measurement protocol to the case of quantum fields, we show that weak measurements probe an effective classical background field that describes the average field configuration in the spacetime region between…

Quantum Physics · Physics 2014-03-24 Justin Dressel , Konstantin Y. Bliokh , Franco Nori

A discussion is given on the interpretation and physical importance of the Minkowski momentum in macroscopic electrodynamics (essential for the Abraham-Minkowski problem). We focus on the following two facets: (1) Adopting a simple…

Quantum Physics · Physics 2017-01-27 Iver Brevik

In a standard interferometry experiment, one measures the phase difference between two paths by recombining the two wave packets on a beam-splitter. However, it has been recently recognized that the phase can also be estimated via local…

Quantum Physics · Physics 2021-01-01 Sebastian Horvat , Philippe Allard Guerin , Luca Apadula , Flavio Del Santo

In this revised reply to quant-ph/0211165, I address the question of the validity of my results in greater detail, by comparing my predictions to those of the Silberfarb-Deutsch model, and I deal at greater length with the beam area…

Quantum Physics · Physics 2009-11-07 Julio Gea-Banacloche

We show that quantum mechanics predicts an Einstein-Podolsky-Rosen paradox (EPR), and also a contradiction with local hidden variable theories, for photon number measurements which have limited resolving power, to the point of imposing an…

Quantum Physics · Physics 2007-05-23 M. D. Reid

We demonstrate a contradiction of quantum mechanics with local hidden variable theories for continuous variable quadrature phase amplitude (``position'' and ``momentum'') measurements, by way of a violation of a Bell inequality. For any…

Quantum Physics · Physics 2019-08-17 A. Gilchrist , P. Deuar , M. D. Reid

Experimentally observed violations of Bell inequalities rule out local realistic theories. Consequently, the quantum state vector becomes a strong candidate for providing an objective picture of reality. However, such an ontological view of…

Quantum Physics · Physics 2007-05-23 Bernd A. Berg

We propose quantum versions of the Bell-Ziv-Zakai lower bounds on the error in multiparameter estimation. As an application we consider measurement of a time-varying optical phase signal with stationary Gaussian prior statistics and a power…

Quantum Physics · Physics 2015-08-26 Dominic W. Berry , Mankei Tsang , Michael J. W. Hall , Howard M. Wiseman

Some remarks are made on the theoretical interpretation of recent experimental results on the propagation speed of electromagnetic force fields.

General Physics · Physics 2016-02-19 J. H. Field

Generic violations of Lorentz symmetry can be described by an effective field theory framework that contains both general relativity and the standard model of particle physics called the Standard-Model Extension (SME). We obtain new…

High Energy Physics - Phenomenology · Physics 2014-01-21 Quentin G. Bailey , Ryan D. Everett , James M. Overduin