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We apply quantum field theory in quantum space-time techniques to study the Casimir effect for large spherical shells. As background we use the recently constructed exact quantum solution for spherically symmetric vacuum space-time in loop…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

We argue that the instability of Euclidean Einstein gravity is an indication that the vacuum is non perturbative and contains a condensate of the metric tensor in a manner reminiscent of Yang-Mills theories. As a simple step toward the…

High Energy Physics - Theory · Physics 2009-11-10 Janos Polonyi , Eniko Regos

The geometrical phase is shown to be integral of motion. Deformation of particle distribution function corresponding to nonstationary Casimir effect is expressed in terms of multivariable Hermite polynomials. Correction to Planck…

Quantum Physics · Physics 2016-09-08 V. I. Man'ko

Moving mirrors as analogue sources of Hawking radiation from black holes have been explored extensively, less so with cosmological particle creation (CPC), even though the analogy between dynamical Casimir effect (DCE) and CPC based on the…

High Energy Physics - Theory · Physics 2024-11-26 Jen-Tsung Hsiang , Bei-Lok Hu

Some of the basic notions of nonlinear optics are summarized and then applied to the case of the Dirac vacuum, as described by the Heisenberg-Euler effective one-loop Lagrangian. The theoretical and experimental basis for the appearance of…

High Energy Physics - Theory · Physics 2007-05-23 D. H. Delphenich

We study collective interaction effects that result from the change of free quantum electrodynamic field fluctuations by one- and two-dimensional perfect metal structures. The Casimir interactions in geometries containing plates and…

Statistical Mechanics · Physics 2014-11-18 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe , Mehran Kardar

We consider a system consisting of a quantum, massless, real scalar field, in the presence of nonlinear mirrors: infinite parallel planes, upon which the field satisfies nonlinear boundary conditions. The latter are implemented by…

High Energy Physics - Theory · Physics 2015-12-30 C. D. Fosco , L. E. Oxman

We present calculations of the quantum and thermal Casimir interaction between real mirrors in electromagnetic fields using the scattering approach. We begin with a pedagogical introduction of this approach in simple cases where the…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Antoine Canaguier-Durand , Romain Guérout , Serge Reynaud

Cavity optomechanics has proven to be a field of research rich with possibilities for studying motional cooling, squeezing, quantum entanglement and metrology in solid state systems. While to date most studies have focused on the modulation…

Quantum Physics · Physics 2017-10-17 M. Mikkelsen , T. Fogarty , J. Twamley , Th. Busch

The Casimir effect is a crucial prediction of Quantum Field Theory which has fascinating connections with open questions in fundamental physics. The ideal formula written by Casimir does not describe real experiments and it has to be…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Serge Reynaud

We consider a movable mirror coupled to a one-dimensional massless scalar field in a cavity. Both the field and the mirror's mechanical degrees of freedom are described quantum-mechanically, and they can interact each other via the…

Quantum Physics · Physics 2017-08-10 Federico Armata , M. S. Kim , Salvatore Butera , Lucia Rizzuto , Roberto Passante

Using the Born-Oppenheimer approximation, we derive an effective Hamiltonian for an optomechanical system that leads to a nonlinear Kerr effect in the system's vacuum. The oscillating mirror at one edge of the optomechanical system induces…

Quantum Physics · Physics 2010-01-04 Z. R. Gong , H. Ian , Yu-xi Liu , C. P. Sun , Franco Nori

We develop a general numerical method aimed at studying particle production from vacuum states in a variety of settings. As a first example we look at particle production in a simple cosmological model. We apply the same approach to the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Nuno D. Antunes

We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

High Energy Physics - Theory · Physics 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

The dynamical Casimir effect for the ideal case of two perfectly conducting non-charged parallel plates, is discussed using the zero-point energy summation method to the first order in perturbation theory. We show that it is possible to…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Sassaroli , Y. N. Srivastava , J. Swain , A. Widom

A model is proposed where two $\chi^{(2)}$ nonlinear waveguides are contained in a cavity suited for second-harmonic generation. The evanescent wave coupling between the waveguides is considered as weak, and the interplay between this…

Quantum Physics · Physics 2007-05-23 M. Bache , Yu. B. Gaididei , P. L. Christiansen

The vacuum is expected to exhibit electromagnetic nonlinearity. We demonstrate the properties of nonlinear electromagnetic wave in a two-dimensional rectangular cavity by calculating the nonlinear correction for two classical standing…

Optics · Physics 2022-02-04 Kazunori Shibata

The Casimir effect is a quantum phenomenon rooted in the fact that vacuum fluctuations of quantum fields are affected by the presence of physical objects and boundaries. Since the energy spectrum of the vacuum fluctuations depends on…

High Energy Physics - Theory · Physics 2023-02-08 M. N. Chernodub , V. A. Goy , A. V. Molochkov

In this paper we study an optomechnical system enclosed by an optical cavity with one mirror attached to a spring as a closed quantum system. We provide a different angle of studying the phenomenons related to the dynamical Casimir effect…

Quantum Physics · Physics 2021-10-11 Yu-Song Cao , Yanxia Liu

We derive a general expression for the Casimir energy corresponding to two flat parallel mirrors in d+1 dimensions, described by nonlocal interaction potentials. For a real scalar field, the interaction with the mirrors is implemented by a…

High Energy Physics - Theory · Physics 2014-11-18 C. D. Fosco , E. Losada