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Related papers: Path Integral Approach to the Dynamic Casimir Effe…

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The phonon Casimir effect describes the phonon-mediated interaction between defects in condensed-matter systems. Using the path-integral formalism, we derive a general method for calculating the Helmholtz free energy due to vibrational…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Gideon Lee , Aleksandr Rodin

We present a detailed description of a quantum scalar field theory within a flat spacetime confined to a cavity with perfectly reflecting moving boundaries. Moreover, we establish an equivalence between this time-dependent setting and a…

When the vacuum is partitioned by material boundaries with arbitrary shape, one can define the zero-point energy and the free energy of the electromagnetic waves in it: this can be done, independently of the nature of the boundaries, in the…

Quantum Physics · Physics 2007-05-23 Roger Balian , Bertrand Duplantier

We propose a generalization of the superconducting circuit simulation of the dynamical Casimir effect where we consider relativistically moving boundary conditions following different trajectories. We study the feasibility of the setup used…

Quantum Physics · Physics 2016-02-03 Paulina Corona-Ugalde , Eduardo Martin-Martinez , C. M. Wilson , Robert B. Mann

We develop a method to compute the Casimir effect for arbitrary geometries. The method is based on the string-inspired worldline approach to quantum field theory and its numerical realization with Monte-Carlo techniques. Concentrating on…

High Energy Physics - Theory · Physics 2009-11-10 Holger Gies , Kurt Langfeld , Laurent Moyaerts

We present an approach to studying the Casimir effects by means of the effective theory. An essential point of our approach is replacing the mirror separation into the size of space S^1 in the adiabatic approximation. It is natural to…

High Energy Physics - Theory · Physics 2009-10-31 Yukinori Nagatani , Kei Shigetomi

An experiment is proposed to observe the dynamical Casimir effect by means of two tandem, high Q, superconducting microwave cavities, which are separated from each other by only a very thin wall consisting of a flexible superconducting…

Quantum Physics · Physics 2012-11-16 Raymond Y. Chiao

Quantum mechanics in conical space is studied by the path integral method. It is shown that the curvature effect gives rise to an effective potential in the radial path integral. It is further shown that the radial path integral in conical…

Mathematical Physics · Physics 2011-11-28 Akira Inomata , Georg Junker

Quantum vacuum fluctuations are a direct manifestation of Heisenberg's uncertainty principle. The dynamical Casimir effect allows for the observation of these vacuum fluctuations by turning them into real, observable photons. However, the…

Quantum Physics · Physics 2016-05-04 Nils Trautmann , Philipp Hauke

We find the exact Casimir force between a plate and a cylinder, a geometry intermediate between parallel plates, where the force is known exactly, and the plate--sphere, where it is known at large separations. The force has an unexpectedly…

Statistical Mechanics · Physics 2009-11-11 T. Emig , R. L. Jaffe , M. Kardar , A. Scardicchio

Temporal modulation of the quantum vacuum through fast motion of a neutral body or fast changes of its optical properties is known to promote virtual into real photons, the so-called dynamical Casimir effect. Empowering modulation protocols…

Quantum Physics · Physics 2021-05-11 Diego A. R. Dalvit , Wilton J. M. Kort-Kamp

We combine linear response theory and dimensional regularization in order to derive the dynamical Casimir force in the low frequency regime. We consider two parallel plates moving along the normal direction in $D-$dimensional space. We…

High Energy Physics - Theory · Physics 2009-11-07 L. A. S. Machado , P. A. Maia Neto

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

Casimir interactions between macroscopic objects are strongly influenced by their geometrical features as shape and orientation as well as by their material properties. The effect of geometry is commonly obtained from the proximity…

Statistical Mechanics · Physics 2007-05-23 Thorsten Emig

The Phononic Casimir effect between planar objects is investigated by deriving a formalism from the quantum partition function of the system following multiscattering approach. This fluctuation-induced coupling is mediated by phonons…

Quantum Physics · Physics 2025-12-03 Pablo Rodriguez-Lopez , Dai-Nam Le , Lilia M. Woods

We present a perturbative closed-time-path (in-in) formulation of an optomechanical system in which a quantum field interacts with a moving mirror via radiation pressure. We derive the effective action governing the dynamics of the moving…

Quantum Physics · Physics 2026-03-17 Salvatore Butera

In this thesis, we investigate the dynamical Casimir effect, the creation of particles from vacuum by dynamical boundary conditions or dynamical background, and its backreaction to the motion of the boundary. The backreaction of particle…

High Energy Physics - Theory · Physics 2024-05-17 Yu-Cun Xie

We present a numerical path-integral iteration scheme for the low dimensional reduced density matrix of a time-dependent quantum dissipative system. Our approach simultaneously accounts for the combined action of a microscopically modelled…

Quantum Physics · Physics 2016-10-12 A. M. Barth , A. Vagov , V. M. Axt

We consider particle creation (the Dynamical Casimir effect) in a uniformly contracting ideal one-dimensional cavity non-perturbatively. The exact expression for the energy spectrum of created particles is obtained and its dependence on…

Quantum Physics · Physics 2009-11-13 A. M. Fedotov , Yu. E. Lozovik , N. B. Narozhny , A. N. Petrosyan

The dynamical Casimir effect is the generation of pairs of real particles or photons from the vacuum as a result of a non-adiabatic change of a system parameter or boundary condition. As opposed to standard parametric amplification where…