Quantum radiation in time-dependent dielectric media

Bei, Xiao-Min; Liu, Zhongzhu

doi:10.1088/0953-4075/44/20/205501

Cited by 6 publications

(12 citation statements)

References 70 publications

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“…The quantization of the field in a uniform dielectric medium was discussed in [32], [40], [42], [43], [44], [50] (see also [20], [24], [92] and the references therein). Yet the problem of electromagnetic-field quantization in time-dependent nonuniform linear nondispersive media remains an active research topic up to now [2], [7], [12], [13], [20], [33], [39], [41], [58], [60], [67], [77], [78], [79], [80], [92], [96].…”

Section: Canonical Quantizationmentioning

confidence: 99%

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On the Problem of Electromagnetic-Field Quantization

et al. 2013

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Abstract. We consider the radiation field operators in a cavity with varying dielectric medium in terms of solutions of Heisenberg's equations of motion for the most general one-dimensional quadratic Hamiltonian. Explicit solutions of these equations are obtained and applications to the radiation field quantization, including randomly varying media, are briefly discussed. [48] and the references therein). For a classical Hamiltonian system one replaces canonically conjugate coordinates and momenta by time-dependent operators q λ (t) and p λ (t) that satisfy the commutation rules Canonical QuantizationThe time-evolution is determined by the Heisenberg equations of motion [38]: In the present letter, we study the radiation field operators in a varying dispersive medium, which is mathematically described by the most general phenomenological quadratic Hamiltonian H in an abstract Hilbert space. (We concentrate on a single photon cavity mode, say υ, with frequency ω υ = 1 and use the units c = = 1. From now on, we shall usually omit the indices when dealing with the single mode under consideration.) In particular, our approach gives a natural Date: April 9, 2013. 2010 Mathematics Subject Classification. Primary 81Q05, 35C05. Secondary 42A38.

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Section: Canonical Quantizationmentioning

confidence: 99%

“…in Theorem 1 for the quantization of the mode of the electromagnetic field under consideration. (See also [2], [13], [67], [77], and [78]. )…”

Section: Summary and Applicationsmentioning

confidence: 99%

On the Problem of Electromagnetic-Field Quantization

et al. 2013

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“…As a future task, it may be worth analyzing classicality measures for optical waves propagating through timevarying media, which display rich properties associated with nonclassicality [4,5,27,28]. If electromagnetic parameters such as electric permittivity, magnetic permeability, and conductivity vary with time, the media are defined as time-varying media.…”

Section: Resultsmentioning

confidence: 99%

“…Non-zero conductivity in a medium is, in general, responsible for the dissipation of light waves. The recent increasing interest in quantum behaviors of light waves and their reduction to classicality in dissipative media has accompanied active research on quantum optical properties of materials through advanced computational resources and developed algorithmic tools [2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Emergence of Classicality from Initial Quantum World for Dissipative Optical Waves

Choi

2016

AEM

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For light waves propagating in dissipative media, the emergence of classical characteristics from the initial quantum world is investigated. Two classicality measures of the system, which are the measure of the degree of (relative) classical correlation δ CC and that of the degree of quantum decoherence δ QD , are analyzed. The classicality conditions for both δ CC and δ QD are satisfied when the conductivity responsible for the energy dissipation is sufficiently high. We also investigated absolute classical correlations for the light in dissipative media. The measure of the degree of the absolute classical correlation in q-space,δ CC,q , exponentially increases with time, whereas that in the p-space, δ CC,p , exponentially decreases. Further, we have obtained an interesting result which is that the product between them does not vary over time:δ CC,qδCC,p = constant. This outcome is actually similar to that of the uncertainty relation between two conjugate variables, which gives an essential limitation in measurements of a quantum system. If we think that the emergence of classicality in a quantum information system disturbs the process of quantum information, exact knowledge for the mechanism of such classicality transition is necessary in order to cope with it.

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“…Finally, for time dependent media, it has recently been suggested [20] that not only transverse (TE and TM) modes, but also longitudinal modes can be created out of vacuum. These are usually unphysical in Gupta-Bleuler quantization due to a cancellation among time and longitudinal components.…”

Section: Discussionmentioning

confidence: 99%

Vacuum-excited surface plasmon polaritons

Naylor

2015

Phys. Rev. A

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We separate Maxwell's equations for background media that allow for both electric and magnetic time-dependence in a generalized Lorenz gauge. In a process analogous to the dynamical Casimir effect (DCE) we discuss how surface plasmon polaritons (SPP)s can be created out of vacuum, via the time-dependent variation of a dielectric and magnetic insulator at a metal interface for TM and TE branches, respectively. We suggest how to extend currently proposed DCE experiments to set up and detect these excitations. Numerical simulations (without any approximation) indicate that vacuum excited SPPs can be of a similar magnitude to the photon creation rate in such experiments. Potential benefits of detecting vacuum excited SPPs, as opposed to DCE photons, are that parametric enhancement does not require a sealed cavity in the axial direction and the detection apparatus might be able to use simple phase matching techniques. For the case of constant permeability, $\mu$, TM branch SPPs and photons do not suffer from detuning and attenuation like TE photons.Comment: 5 pages, 3 figures, RevTeX; version 2, reference added, minor changes made; version 3, sections updated, new plots & supplemental notes added (3 pages); version 4, concurs with version published in Physical Review

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Quantum radiation in time-dependent dielectric media

Cited by 6 publications

References 70 publications

On the Problem of Electromagnetic-Field Quantization

On the Problem of Electromagnetic-Field Quantization

Emergence of Classicality from Initial Quantum World for Dissipative Optical Waves

Vacuum-excited surface plasmon polaritons

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