Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation

Law, C. K.

doi:10.1103/physreva.51.2537

Cited by 653 publications

(686 citation statements)

References 21 publications

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“…Substituting Eq. (2.66) into the field equation (2.2) (with m = 0) we arrive after conversion to an infinite coupled system of differential equations with respect to the functions Q nk (t) [60] …”

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%

“…The functions χ (±) n (t, x) which are unknown for t > 0 can be found in the form of a series (see, e.g., [59,60])…”

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

confidence: 99%

New developments in the Casimir effect

2001

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“…We will be interested in the regime where the period of the mirror's motion is much longer than the roundtrip time of the photon inside the cavity, and where the amplitude of the mirror's motion is very small compared to the cavity length. Under these conditions, the system can be described by the standard optomechanical Hamiltonian [38,39] …”

Section: Non-gaussian State Via Interaction With Single Photons and Pmentioning

confidence: 99%

Nonclassical States of Light and Mechanics

Hammerer

Genes

Vitali

et al. 2014

Cavity Optomechanics

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This chapter reports on theoretical protocols for generating nonclassical states of light and mechanics. Nonclassical states are understood as squeezed states, entangled states or states with negative Wigner function, and the nonclassicality can refer either to light, to mechanics, or to both, light and mechanics. In all protocols nonclassicallity arises from a strong optomechanical coupling. Some protocols rely in addition on homodyne detection or photon counting of light.

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“…[35]). At this point additional non-linearities in the interaction could play a role, but we do not consider those here.…”

Section: A Resolved Side-band Coolingmentioning

confidence: 99%

“…We start with the Hamiltonian describing the coupling between the cavity and the mechanical oscillator 35 ,…”

Section: Optomechanical Systemsmentioning

confidence: 99%