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We generalise results of Ford and Roman which place lower bounds -- known as quantum inequalities -- on the renormalised energy density of a quantum field averaged against a choice of sampling function. Ford and Roman derived their results…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. J. Fewster , S. P. Eveson

We generalize a result of Vollick constraining the possible behaviors of the renormalized expected stress-energy tensor of a free massless scalar field in two dimensional spacetimes that are globally conformal to Minkowski spacetime.…

General Relativity and Quantum Cosmology · Physics 2020-12-07 Eanna E. Flanagan

In a previous paper, a bound on the negative energy density seen by an arbitrary inertial observer was derived for the free massless, quantized scalar field in four-dimensional Minkowski spacetime. This constraint has the form of an…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. H. Ford , Thomas A. Roman

Recently a restriction ("quantum inequality-type relation") on the (renormalized) energy density measured by a static observer in a "globally static" (ultrastatic) spacetime has been formulated by Pfenning and Ford for the minimally coupled…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Dae-Yup Song

The quantum interest conjecture of Ford and Roman asserts that any negative-energy pulse must necessarily be followed by an over-compensating positive-energy one within a certain maximum time delay. Furthermore, the minimum amount of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Edward Teo , K. F. Wong

Fewster and Mistry have given an explicit, non-optimal quantum weak energy inequality that constrains the smeared energy density of Dirac fields in Minkowski spacetime. Here, their argument is adapted to the case of flat, two-dimensional…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. P. Dawson

Quantum inequality restrictions on the stress-energy tensor for negative energy are developed for three and four-dimensional static spacetimes. We derive a general inequality in terms of a sum of mode functions which constrains the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Michael J. Pfenning , L. H. Ford

Quantum inequalities (QI's) provide lower bounds on the averaged energy density of a quantum field. We show how the QI's for massless scalar fields in even dimensional Minkowski space may be reformulated in terms of the positivity of a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Christopher J. Fewster , Edward Teo

Connections are uncovered between the averaged weak (AWEC) and averaged null (ANEC) energy conditions, and quantum inequality restrictions on negative energy for free massless scalar fields. In a two-dimensional compactified Minkowski…

General Relativity and Quantum Cosmology · Physics 2010-11-01 L. H. Ford , Thomas A. Roman

Certain exotic phenomena in general relativity, such as backward time travel, appear to require the presence of matter with negative energy. While quantum fields are a possible source of negative energy densities, there are lower bounds -…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Christopher J. Fewster , Edward Teo

We study the fluctuations of the stress tensor for a massless scalar field in two and four-dimensional Minkowski spacetime in the vacuum state. Covariant expressions for the stress tensor correlation function are obtained as sums of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. H. Ford , Thomas A. Roman

The probability distributions for the smeared energy densities of quantum fields, in the two and four-dimensional Minkowski vacuum are discussed. These distributions share the property that there is a lower bound at a finite negative value,…

General Relativity and Quantum Cosmology · Physics 2014-09-29 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

In a recent paper [J. Math. Phys. 47 082303 (2006)], Quantum Energy Inequalities were used to place simple geometrical bounds on the energy densities of quantum fields in Minkowskian spacetime regions. Here, we refine this analysis for…

Mathematical Physics · Physics 2008-11-26 Simon P. Eveson , Christopher J. Fewster

Recent years have witnessed a number of beautiful experiments in radiation optics. Our purpose with this mini-review is to highlight some developments of radiation pressure physics in general, and thereafter to focus on the importance of…

Classical Physics · Physics 2018-04-18 Iver Brevik

By generalizing the formalism proposed by Dalibard, Dupont-Roc and Cohen Tannoudji, we study the resonance interatomic energy of two identical atoms coupled to quantum massless scalar fields in a symmetric /antisymmetric entangled state in…

General Relativity and Quantum Cosmology · Physics 2018-02-15 Wenting Zhou , Hongwei Yu

This paper initiates a program which seeks to study the allowed spatial distributions of negative energy density in quantum field theory. Here we deal with free fields in Minkowski spacetime. Known restrictions on time integrals of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Arvind Borde , L. H. Ford , Thomas A. Roman

Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of…

Mathematical Physics · Physics 2009-11-10 Christopher J. Fewster , Stefan Hollands

I show that a quantized Klein-Gordon field in Minkowski space obeys an `operational' weak energy condition: the energy of an isolated device constructed to measure or trap the energy in a region, plus the energy it measures or traps, cannot…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Adam D. Helfer

We treat the probability distributions for quadratic quantum fields, averaged with a Lorentzian test function, in four-dimensional Minkowski vacuum. These distributions share some properties with previous results in two-dimensional…

Quantum Physics · Physics 2012-09-06 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

The sampled negative energy density seen by inertial observers, in arbitrary quantum states is limited by quantum inequalities, which take the form of an inverse relation between the magnitude and duration of the negative energy. The…

General Relativity and Quantum Cosmology · Physics 2014-10-14 L. H. Ford , Thomas A. Roman
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