Note on a McMillan-Like T
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Zheng-Yu, Weng; Hang-Sheng, Wu

doi:10.1088/0253-6102/8/3/379

Cited by 5 publications

(10 citation statements)

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“…This result is analog to the one obtained in Ref. [33] but to the case of two slabs of materials without dissipation. Moreover, for the case of perfect-conductor plates, following the procedure given in Ref.…”

Section: Comparison Between Casimir Forces For Thermal and Squeezsupporting

confidence: 86%

“…We calculate the Casimir force between two dissipative material slabs (playing the role of cavity) when the field is in a squeezed state and each slabs has its own temperature. This greatly improve the results found in a previous work [33], where the Casimir force between two perfect conductor plates is calculated when the field is in a squeezed state. Moreover, our present result could be also implemented to enter the discussion given in Ref.…”

Section: Introductionsupporting

confidence: 81%

“…Then, for the squeezed case, we showed how to recover the results at Ref. [33] of the force between perfect conductor plates. However, our result is the out of equilibrium generalized version to dissipative materials and squeezed states for the field.…”

Section: Final Remarksmentioning

confidence: 75%

“…In a previous work [33], the Casimir force between perfect conductor plates was calculated when the EM field is in a squeezed state. Given the perfect material, the plates enter as boundary conditions on the quantum field.…”

Section: Comparison Between Casimir Forces For Thermal and Squeezmentioning

confidence: 99%

“…This was done in Ref. [33] where, for simplicity, one of the cases analyzed was to take a constant squeezing for all the modes, ξ m = ξ for every m. Therefore, the factor cosh(2|ξ m |) is a constant and the force results to be the well-known Casimir's result times cosh(2|ξ|).…”

Section: Comparison Between Casimir Forces For Thermal and Squeezmentioning

confidence: 99%

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Quantum vacuum fluctuations in presence of dissipative bodies: Dynamical approach for nonequilibrium and squeezed states

López

Ezequiel²

2017

Phys. Rev. D

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The present work contributes to the study of non-equilibrium aspects of the Casimir forces with the introduction of squeezed states in the calculations. Throughout this article two main results can be found, being both strongly correlated. Primarily, the more formal result involves the development of a first-principles canonical quantization formalism to study the quantum vacuum in presence different dissipative material bodies in completely general scenarios. For this purpose, we considered a one-dimensional quantum scalar field interacting with the volume elements' degrees of freedom of the material bodies, which are modeled as a set of composite systems consisting in a quantum harmonic oscillators interacting with an environment (provided as an infinite set of quantum harmonic oscillators acting as a thermal bath). Solving the full dynamics of the composite system through its Heisenberg equations, we studied each contribution to the field operator by employing general properties of the Green function. We deduced the long-time limit of the contributions to the field operator. In agreement with previous works, we showed that the expectation values of the components of the energy-momentum tensor present two contributions, one associated to the thermal baths and the other one associated to the field's initial conditions. This allows us to the direct study of steady situations involving different initial states for the field (keeping arbitrary thermal states for the baths). This leads to the other main result, consisting in computing the Casimir force when the field is initially in thermal or continuum-single-mode squeezed states (being the latter characterized by a given bandwidth and frequency). Time-averaging is required for the squeezed case, showing that both results can be given in a unified way, while for the thermal state, all the well-known equilibrium results can be successfully reproduced. Finally, we compared the initial conditions' contribution and the total force for each case, showing that the latter can be tuned in a wide range of values through varying the size of the bandwidth.

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Section: Comparison Between Casimir Forces For Thermal and Squeezsupporting

confidence: 86%

Section: Introductionsupporting

confidence: 81%

Section: Final Remarksmentioning

confidence: 75%

Section: Comparison Between Casimir Forces For Thermal and Squeezmentioning

confidence: 99%

Section: Comparison Between Casimir Forces For Thermal and Squeezmentioning

confidence: 99%

See 3 more Smart Citations

Quantum vacuum fluctuations in presence of dissipative bodies: Dynamical approach for nonequilibrium and squeezed states

López

Ezequiel²

2017

Phys. Rev. D

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Casimir force due to condensed vortices in a plane

2012

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The Casimir force between parallel lines in a theory describing condensed vortices in a plane is determined. We make use of the relation between a Chern-Simons-Higgs model and its dualized version, which is expressed in terms of a dual gauge field and a vortex field. The dual model can have a phase of condensed vortices and, in this phase, there is a mapping to a model of two non-interacting massive scalar fields from which the Casimir force can readily be obtained. The choice of boundary conditions required for the mapped scalar fields and their association with those for the vectorial field and the issues involved are discussed. We also briefly discuss the implications of our results for experiments related to the Casimir effect when vortices can be present.Comment: 13 pages, 1 eps figur

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Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations

Zhang

2008

Phys. Rev. E

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An efficient method is proposed for numerical solutions of nonlinear Schrödinger equations on an unbounded domain. Through approximating the kinetic energy term by a one-way equation and uniting it with the potential energy equation, absorbing boundary conditions are designed to truncate the unbounded domain, which are in nonlinear form and can perfectly absorb waves outgoing from the boundaries of the truncated computational domain. The stability of the induced initial boundary value problem defined on the computational domain is examined by a normal mode analysis. Numerical examples are given to illustrate the stable and tractable advantages of the method.

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Note on a McMillan-Like T _c Formula

Abstract: In this letter, we present an analysis to understand why the McMillan-like Tc formula: , proposed in a previous paper by the authors, applies to crystalline superconductors satisfactorily but less satisfactorily to non-crystalline ones.

Cited by 5 publications

References 0 publications

Quantum vacuum fluctuations in presence of dissipative bodies: Dynamical approach for nonequilibrium and squeezed states

Quantum vacuum fluctuations in presence of dissipative bodies: Dynamical approach for nonequilibrium and squeezed states

Casimir force due to condensed vortices in a plane

Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations

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Note on a McMillan-Like T c Formula

Abstract: In this letter, we present an analysis to understand why the McMillan-like Tc formula: , proposed in a previous paper by the authors, applies to crystalline superconductors satisfactorily but less satisfactorily to non-crystalline ones.

Cited by 5 publications

References 0 publications

Quantum vacuum fluctuations in presence of dissipative bodies: Dynamical approach for nonequilibrium and squeezed states

Quantum vacuum fluctuations in presence of dissipative bodies: Dynamical approach for nonequilibrium and squeezed states

Casimir force due to condensed vortices in a plane

Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations

Contact Info

Product

Resources

About

Note on a McMillan-Like T _c Formula