Generation and detection of photons in a cavity with a resonantly oscillating boundary

Dodonov, V. V.; Klimov, A. B.

doi:10.1103/physreva.53.2664

Cited by 281 publications

(433 citation statements)

References 56 publications

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“…The solution of the differential system (2.77) and (2.78) and of the integral equation which is equivalent to it can be found in [61]. Here we present only the final result for the particle creation rate.…”

Section: Moving Boundaries In a Two-dimensional Space-timementioning

confidence: 99%

“…(4.32). For simplicity consider the case a 3 ≪ a 1 ∼ a 2 [61]. With this condition the frequencies with n 3 = 0 are much greater than the frequencies with n 3 = 0.…”

Section: Dynamical Casimir Effectmentioning

confidence: 99%

“…Substituting (2.70) into (2.68) we neglect by all the terms of the order ǫ 2 and perform the averaging over fast oscillations with the frequencies of the order ω k . As a result the simplified system (2.68) takes the form [61] dα n1 77) where the initial conditions are…”

Section: Moving Boundaries In a Two-dimensional Space-timementioning

confidence: 99%

“…The analytical method of Ref. [61] used in Sec.2.4 leaves room for the application to three-dimensional resonant cavities.…”

Section: Dynamical Casimir Effectmentioning

confidence: 99%

“…It is possible, however, to obtain a much more simple system in the case when the boundary undergoes small harmonic oscillations under the condition of a parametric resonance. Let us consider, following [61], the motion of the boundary according to the law 76) where ω 1 = cπ/a 0 , and the non-dimensional amplitude of the oscillations is ǫ << 1 (in realistic situations ǫ ∼ 10 −7 ). In the framework of the theory of the parametrically excited systems [62] the coefficients α nm , β nm can be considered as slowly varying functions of time.…”

Section: Moving Boundaries In a Two-dimensional Space-timementioning

confidence: 99%

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New developments in the Casimir effect

2001

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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

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Section: Moving Boundaries In a Two-dimensional Space-timementioning

confidence: 99%

“…(4.32). For simplicity consider the case a 3 ≪ a 1 ∼ a 2 [61]. With this condition the frequencies with n 3 = 0 are much greater than the frequencies with n 3 = 0.…”

Section: Dynamical Casimir Effectmentioning

confidence: 99%

Section: Moving Boundaries In a Two-dimensional Space-timementioning

confidence: 99%

“…The analytical method of Ref. [61] used in Sec.2.4 leaves room for the application to three-dimensional resonant cavities.…”

Section: Dynamical Casimir Effectmentioning

confidence: 99%

Section: Moving Boundaries In a Two-dimensional Space-timementioning

confidence: 99%

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New developments in the Casimir effect

2001

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Nonstationary Casimir Effect and Analytical Solutions for Quantum Fields in Cavities with Moving Boundaries

Dodonov

Advances in Chemical Physics

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106

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Enhanced Dynamic Casimir Effect in Temporally and Spatially Modulated Josephson Transmission Line

Miao

Xiang

et al. 2019

Laser & Photonics Reviews

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Real photon pairs can be created in a dynamic cavity with an oscillating boundary or temporally modulated refractive index of the constituent medium. This effect is called dynamic Casimir effect (DCE), which represents one of the most amazing predictions of quantum field theory. The DCE has been experimentally observed in Josephson metamaterials embedded in a microwave cavity. However, the efficiency of the observed DCE is extremely weak, entailing a complex external signal enhancement process to detect the signal. Here, it is shown that the DCE can be drastically enhanced in a dynamic 1D cavity consisting of a superconducting quantum interference device (SQUID)‐based Josephson transmission line with both temporal and spatial modulation on the effective inductance profile through flux‐biasing. Such a system can resonantly generate photons at driving frequencies equal to even or odd integer times of that of the fundamental cavity mode governed by the symmetry of the spatial modulation. Interesting spectral and scaling behaviors for photons excited at the band edge are further observed. The discovery introduces a new degree of freedom—spatial modulation—to enhance the efficiency of DCE.

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Generation and detection of photons in a cavity with a resonantly oscillating boundary

Cited by 281 publications

References 56 publications

New developments in the Casimir effect

New developments in the Casimir effect

Nonstationary Casimir Effect and Analytical Solutions for Quantum Fields in Cavities with Moving Boundaries

Enhanced Dynamic Casimir Effect in Temporally and Spatially Modulated Josephson Transmission Line

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