Propagation of quantized light through bounded dispersive and absorptive media

Vasylyev, D.; Vogel, W.; Henneberger, K.; Richter, Felix

doi:10.1088/0031-8949/2010/t140/014039

Cited by 2 publications

(4 citation statements)

References 9 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%

“…The problem of quantization of electromagnetic field in material media remains important in view of recent trends in the flourishing cavity QED [17], [19], [47], [72], [80] and for experiments in quantum optics in media [7], [32], [33], [58], [81], [96], which may result in a better understanding of the interaction of light with matter. Among other possible applications of the electromagnetic wave propagation in time-dependent media are the modulation of microwave power [71], wave propagation in ionized plasma [53], and magnetoelastic delay lines [82], [83] (see also [13] and the references therein).…”

Section: Summary and Applicationsmentioning

confidence: 99%

“…In particular, our approach gives a natural description of squeezed photons that can be created as a result of parametric amplification of quantum fluctuations in the dynamic Casimir effect [17], [18], [54], [70], [72], [87], [99] and/or by similar dynamical amplification mechanisms including the Unruh effect [95] and Hawking radiation [8], [36], [37]. It is also useful for quantum fields propagating in nonstationary external potentials [7], [62], [96], [87], and for photon quantization in randomly varying media.…”

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%

Section: Summary and Applicationsmentioning

confidence: 99%

Section: Canonical Quantizationmentioning

confidence: 99%

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On the Problem of Electromagnetic-Field Quantization

et al. 2013

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“…[1][2][3][4][5][6][7] To date, the research in the field has mainly focused on establishing the input output relations of the photon operators or in the energy transfer in the weak coupling regime leaving the energy transfer in the strong coupling regime with relatively little attention.…”

Section: Introductionmentioning

confidence: 99%

Quantum aspects of optical energy transfer in cavities and layered media

2012

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We study the quantized electromagnetic (EM) field in cavities and cavity like structures and develop models to describe EM energy transfer. Our starting point is based on including the quantum mechanical field-matter interaction in the traveling wave (TW) formalism with appropriate boundary conditions accounting for the interference to obtain the spatially resolved quantized field operators. This allows evaluating the Poynting vector to calculate e.g. the energy fluxes through a cavity structure, the energy emitted and absorbed by an element placed in a leaky cavity and the formation of its steady state.

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Propagation of quantized light through bounded dispersive and absorptive media

Cited by 2 publications

References 9 publications

On the Problem of Electromagnetic-Field Quantization

On the Problem of Electromagnetic-Field Quantization

Quantum aspects of optical energy transfer in cavities and layered media

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