Dynamical Casimir effect in curved spacetime

Lock, Maximilian P. E.; Fuentes, Ivette

doi:10.1088/1367-2630/aa7651

Cited by 18 publications

(28 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…. 30 As expected, we would obtain the result in equation (20) for the Born rigid rod from equation (30) if the speed of sound in the material was infinite. This coincides with the observation that a Born rigid rod violates causality, as 8 Any deformation of the rod also leads to a change of density and the speed of sound in the rod which, in turn, leads to a modulation of the deformation of the rod.…”

Section: Deformable Optical Resonatorsmentioning

confidence: 51%

“…Cases in which the effects of gravitational fields and acceleration must be considered include those in which the gravitational field is to be measured, such as in proposals for the measurement of gravitational waves with electromagnetic cavity resonators [1][2][3][4][5][6][7] or other extended matter systems [8][9][10][11][12][13][14], tests of GR [15,16] or the expansion of the universe [17,18]. Other situations are those in which the metrological system is significantly accelerated [19][20][21]. A fundamental limit for the precision of a light cavity resonator as a metrological system can even be imposed by the gravitational field of the light inside the cavity [22].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Frequency spectrum of an optical resonator in a curved spacetime

et al. 2018

Self Cite

View full text Add to dashboard Cite

The effect of gravity and proper acceleration on the frequency spectrum of an optical resonator-both rigid or deformable-is considered in the framework of general relativity. The optical resonator is modeled either as a rod of matter connecting two mirrors or as a dielectric rod whose ends function as mirrors. Explicit expressions for the frequency spectrum are derived for the case that it is only perturbed slightly and variations are slow enough to avoid any elastic resonances of the rod. For a deformable resonator, the perturbation of the frequency spectrum depends on the speed of sound in the rod supporting the mirrors. A connection is found to a relativistic concept of rigidity when the speed of sound approaches the speed of light. In contrast, the corresponding result for the assumption of Born rigidity is recovered when the speed of sound becomes infinite. The results presented in this article can be used as the basis for the description of optical and opto-mechanical systems in a curved spacetime. We apply our results to the examples of a uniformly accelerating resonator and an optical resonator in the gravitational field of a small moving sphere. To exemplify the applicability of our approach beyond the framework of linearized gravity, we consider the fictitious situation of an optical resonator falling into a black hole.

show abstract

Section: Deformable Optical Resonatorsmentioning

confidence: 51%

Section: Introductionmentioning

confidence: 99%

Frequency spectrum of an optical resonator in a curved spacetime

et al. 2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…Note that property (5) implies that u ∇ is normal vector field of  . By uniqueness condition of the normal direction to hypersurface, it must be collinear to l .…”

Section: A Very Simple Example Of Null Hypersurface Is a Null Hyperplmentioning

confidence: 99%

“…where λ is an affine parameter. Another property of κ that will be stated without proof [5] is that it represents a proportionality factor between the affinely parametrized null geodesics that generate the event horizon and the…”

Section: The First Law Of Black Hole Mechanicsmentioning

confidence: 99%

Revisiting Laws of Black Hole Mechanics and Violation of Null Energy Condition

Mohanpur¹

2019

JHEPGC

View full text Add to dashboard Cite

Most of the important and powerful theorems in General Relativity such as singularity theorems and the theorems applied for null horizons depend strongly on the energy conditions. However, the energy conditions on which these theorems are based on, are beginning to look at less secure if one takes into accounts quantum effects which can violate these energy conditions. Even there are classical systems that can violate these energy conditions which would be problematic in validation of those theorems. In this article, we revisit to a class of such important theorems, the laws of black hole mechanics which are meant to be developed on null like killing horizons using null energy condition. Then we show some classical and quantum mechanical systems which violate null energy condition based on which the above theorem stands.

show abstract

“…To examine more general situations, we need to be able to describe the effect of general boundary motion through curved spacetime on the quantum state of the field, a problem whose solution was unknown until recently. We gave such a solution in [61], providing a method for describing the effect of a finite period of cavity motion through a static curved spacetime for a broad class of trajectories. This provides us with the means to explore the effect of gravity on the clock, namely how deviations from the proper-time prescription of relativity depend on the spacetime curvature, and how the precision of the clock is affected.…”

Section: Generalizing To Curved Spacetimementioning

confidence: 99%

Relativistic Quantum Clocks

Lock

Fuentes

2017

Time in Physics

Self Cite

View full text Add to dashboard Cite

The conflict between quantum theory and the theory of relativity is exemplified in their treatment of time. We examine the ways in which their conceptions differ, and describe a semiclassical clock model combining elements of both theories. The results obtained with this clock model in flat spacetime are reviewed, and the problem of generalizing the model to curved spacetime is discussed, before briefly describing an experimental setup which could be used to test of the model. Taking an operationalist view, where time is that which is measured by a clock, we discuss the conclusions that can be drawn from these results, and what clues they contain for a full quantum relativistic theory of time. CONTENTS I. Time in quantum mechanics and general relativity 1 II. A semiclassical approach: quantum field theory in curved spacetime 3 III. A relativistic quantum clock 3 A. The clock model 3 B. Theoretical framework 4 1. A localized quantum field in curved spacetime 4 2. The covariance matrix formalism 4 3. Relativistic quantum metrology 5 C. The effect of non-inertial motion 5 D. Generalizing to curved spacetime 7 E. Physical implementation 8 IV. Conclusion 9 References 10 I. TIME IN QUANTUM MECHANICS AND GENERAL RELATIVITY * maximilian.lock12@imperial.ac.uk † Previously known as Fuentes-Guridi and Fuentes-Schuller.arXiv:1609.09426v1 [quant-ph]

show abstract

Dynamical Casimir effect in curved spacetime

Cited by 18 publications

References 59 publications

Frequency spectrum of an optical resonator in a curved spacetime

Frequency spectrum of an optical resonator in a curved spacetime

Revisiting Laws of Black Hole Mechanics and Violation of Null Energy Condition

Relativistic Quantum Clocks

Contact Info

Product

Resources

About