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We discuss and review several thermodynamic criteria that have been introduced to characterize the thermal stability of a self-correcting quantum memory. We first examine the use of symmetry-breaking fields in analyzing the properties of…

Quantum Physics · Physics 2015-05-13 Stefano Chesi , Daniel Loss , Sergey Bravyi , Barbara M. Terhal

We introduce a general, simple and effective method of evaluating the zero point energy of a quantum field under the influence of arbitrary boundary conditions imposed on the field on flat surfaces perpendicular to a chosen spatial…

Quantum Physics · Physics 2007-05-23 F. C. Santos , A. C. Tort

The Casimir problem is usually posed as the response of a fluctuating quantum field to externally imposed boundary conditions. In reality, however, no interaction is strong enough to enforce a boundary condition on all frequencies of a…

High Energy Physics - Theory · Physics 2009-11-07 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , M. Scandurra , H. Weigel

The linear scalar quantum field, propagating in a globally hyperbolic spacetime, is a relatively simple physical model that allows us to study many aspects in explicit detail. In this review we focus on the theory of thermal equilibrium…

Mathematical Physics · Physics 2013-04-15 Ko Sanders

We study, in the paradigm of open quantum systems, the dynamics of quantum coherence of a static polarizable two-level atom which is coupled with a thermal bath of fluctuating electromagnetic field in the absence and presence of boundaries.…

Quantum Physics · Physics 2016-10-03 Xiaobao Liu , Zehua Tian , Jieci Wang , Jiliang Jing

The description of thermal or non-equilibrium systems necessitates a quantum field theory which differs from the usual approach in two aspects: 1.The Hilbert space is doubled; 2.Stable quasi-particles do not exist in interacting systems. A…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. A. Henning

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

Casimir effect in the planar setting is described using the boundary state formalism, for general partially reflecting boundaries. It is expressed in terms of the low-energy degrees of freedom, which provides a large distance expansion…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bajnok , L. Palla , G. Takacs

We consider the case of a free real massive bulk scalar in D=4 dimensions, and embed two parallel plates as interfaces on which we impose non-linear boundary conditions, either Dirichlet- or Neumann-like, parameterized by a new coupling…

High Energy Physics - Theory · Physics 2025-12-11 Fabrizio Canfora , David Dudal , Thomas Oosthuyse , Pablo Pais , Luigi Rosa , Sebbe Stouten

The Casimir force between two parallel plates in the G\"odel universe is computed for a scalar field at finite temperature. It is observed that when the plates separation is comparable with the scale given by the rotation of the space-time,…

High Energy Physics - Theory · Physics 2019-08-22 Sh. Khodabakhshi , A. Shojai

We present a quantum theory of Casimir forces between perfect electrical conductors, based on quantum electrodynamics and quantum statistical physics. This theory utilizes Kapusta's finite-temperature field theory, combined with the…

Statistical Mechanics · Physics 2025-11-14 P. E. Brandyshev , Yu. A. Budkov

We compute the Casimir thermodynamic quantities for a massive fermion field between two parallel plates with the MIT boundary conditions, using three different general approaches and present explicit solutions for each. The Casimir…

High Energy Physics - Theory · Physics 2022-03-15 M. Sasanpour , C. Ajilyan , S. S. Gousheh

The thermal Casimir effect in ideal metal rectangular boxes is considered using the method of zeta functional regularization. The renormalization procedure is suggested which provides the finite expression for the Casimir free energy in any…

Quantum Physics · Physics 2008-12-18 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir force between a pair of parallell plates filled with ionic particles is considered. We use a statistical mechanical approach and consider the classical high temperature limit. In this limit the ideal metal result with no…

Statistical Mechanics · Physics 2009-03-18 J. S. Høye

We study the quantum and thermal fluctuations of eddy (Foucault) currents in thick metallic plates. A Casimir interaction between two plates arises from the coupling via quasi-static magnetic fields. As a function of distance, the relevant…

Quantum Physics · Physics 2021-08-06 Francesco Intravaia , Carsten Henkel

We discuss Casimir phenomena which are dominated by long-range fluctuations. A prime example is given by "geothermal" Casimir phenomena where thermal fluctuations in open Casimir geometries can induce significantly enhanced thermal…

High Energy Physics - Theory · Physics 2010-05-25 Holger Gies , Alexej Weber

Vacuum fluctuations are a fundamental and irremovable property of a quantized electromagnetic field. These fluctuations are the cause of the Casimir effect -- mutual attraction of two electrically neutral metallic plates in vacuum in the…

Optics · Physics 2023-11-23 Mikhail Krasnov , Arslan Mazitov , Nikita Orekhov , Denis G. Baranov

This paper address the question of thermodynamic entropy production in the context of the dynamical Casimir effect. Specifically, we study a scalar quantum field confined within a one-dimensional ideal cavity subject to time-varying…

Quantum Physics · Physics 2024-01-18 Gustavo de Oliveira , Lucas C. Céleri

We study Casimir effect in equilibrium and non-equilibrium photon gas in the frame of quantum kinetic theory for $U(1)$ gauge field. We derive first the transport, constraint and gauge fixing equations for the photon number distribution…

Quantum Physics · Physics 2022-07-13 Xingyu Guo , Jiaxing Zhao , Pengfei Zhuang

We recently proposed a new approach to the Casimir effect based on classical ray optics (the "optical approximation"). In this paper we show how to use it to calculate the local observables of the field theory. In particular we study the…

Quantum Physics · Physics 2009-11-11 A. Scardicchio , R. L. Jaffe
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