Extension of the Huttner-Barnett model to a magnetodielectric medium

Kheirandish, Fardin; Soltani, Mohsen

doi:10.1103/physreva.78.012102

Cited by 36 publications

(58 citation statements)

References 19 publications

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“…In this section we develop the formalism to EM field in the presence of a magnetodielectric medium [25]. The Lagrangian of EM field in the presence of a medium can be written as…”

Section: Electromagnetic Field Quantization In the Presence Of A mentioning

confidence: 99%

“…after quantization of the fields, where byˆwe mean operator and the operator with positive frequency is the Hermitian conjugate of the negative one.P ± N is the noise part of the polarization field that according to the fluctuationdissipation theorem [25,28] satisfies…”

Section: Field Quantization Using Path Integralsmentioning

confidence: 99%

“…(1). We model the magnetodielectric medium by a continuum of harmonic oscillators (Hopfield Model) [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Casimir force in the presence of a medium

2010

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In this article we investigate the Casimir effect in the presence of a medium by quantizing the Electromagnetic (EM) field in the presence of a magnetodielectric medium by using the path integral formalism. For a given medium with definite electric and magnetic susceptibilities, explicit expressions for the Casimir force are obtained which are in agree with the original Casimir force between two conducting parallel plates immersed in the quantum electromagnetic vacuum.

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“…In this section we develop the formalism to EM field in the presence of a magnetodielectric medium [25]. The Lagrangian of EM field in the presence of a medium can be written as…”

Section: Electromagnetic Field Quantization In the Presence Of A mentioning

confidence: 99%

Section: Field Quantization Using Path Integralsmentioning

confidence: 99%

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Casimir force in the presence of a medium

2010

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“…[10]. This model has also been extended to include spatial dispersion [15] and magnetodielectrics [16]. Practical applications of the Huttner-Barnett model, e.g., the calculation of spontaneous decay rates [17], work well for bulk dielectrics where simple forms of the relevant operators can be found, although an additional difficulty is that, in a bulk medium, local field corrections play an important role and need to be included.…”

Section: Introductionmentioning

confidence: 99%

Quantum electrodynamics near a dispersive and absorbing dielectric

Eberlein

Zietal

2012

Phys. Rev. A

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We build up a consistent theory of quantum electrodynamics in the presence of macroscopic polarizable media. We use the Huttner-Barnett model of a dispersive and absorbing dielectric medium and formulate the theory in terms of interacting quantum fields. We integrate out the damped polaritons by using diagrammatic techniques and find an exact expression for the displacement-field (photon) propagator in the presence of a dispersive and absorbing dielectric half-space. This offers a route to traceable perturbative calculations of the same kind as in free-space quantum electrodynamics. As a worked-through example, we consider the interaction of a neutral atom with a dispersive and absorbing dielectric half-space. For that, we use the multipolar coupling D of the atomic dipole moment to the electromagnetic displacement field. We apply this formalism to calculate the one-loop correction to the atomic electron propagator and to find the energy-level shift and changes in the spontaneous decay rates for a neutral atom close to an absorptive dielectric mirror

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“…which shows that χ (1) (ω) is a linear electric susceptibility [34,37]. In this way, we can easily define the nonlinear susceptibilities of the medium via two-, three-, and n-point correlation functions between the electromagnetic field and the polarization field [39].…”

Section: Linear Green's Tensorsmentioning

confidence: 99%

Finite-temperature Casimir effect in the presence of nonlinear dielectrics

2011

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Starting from a Lagrangian, the electromagnetic field in the presence of a nonlinear dielectric medium is quantized using path-integral techniques, and correlation functions of different fields are calculated. The susceptibilities of the nonlinear medium are obtained, and their relations to coupling functions are determined. Finally, the Casimir energy and force in the presence of a nonlinear medium at finite temperature are calculated.

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Extension of the Huttner-Barnett model to a magnetodielectric medium

Cited by 36 publications

References 19 publications

Casimir force in the presence of a medium

Casimir force in the presence of a medium

Quantum electrodynamics near a dispersive and absorbing dielectric

Finite-temperature Casimir effect in the presence of nonlinear dielectrics

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