Influence functional for two mirrors interacting via radiation pressure

Butera, Salvatore

doi:10.1103/physrevd.105.016023

Cited by 11 publications

(6 citation statements)

References 45 publications

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“…where b and b † are bosonic annihilation and creation operators of the movable wall, a k and a † k are the bosonic operators of the massless 1D scalar field relative to the wall's equilibrium position, ω k = ck, N is the normal ordering operator, and C kj = (−1) k+j L −1 ℏ 3 ω k ω j /(8mω 0 ) is the field-mirror coupling constant. This kind of Hamiltonian has been often used to treat the mirror-field dynamics [14,15,16]. In the following, we will treat the field-mirror interaction term perturbatively, up to the first or second order according to the field quantities we shall consider.…”

Section: The Hamiltonian Model and The Interacting Ground Statementioning

confidence: 99%

Field observables near a fluctuating boundary

Armata

Butera

Federico

et al. 2023

J. Phys.: Conf. Ser.

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We review several aspects related to the confinement of a massless scalar field in a cavity with a movable conducting wall of finite mass, free to move around its equilibrium position to which it is bound by a harmonic potential, and whose mechanical degrees of freedom are described quantum mechanically. This system, for small displacements of the movable wall from its equilibrium position, can be described by an effective interaction Hamiltonian between the field and the mirror, quadratic in the field operators and linear in the mirror operators. In the interacting, i.e. dressed, ground state, we first consider local field observables such as the field energy density: we evaluate changes of the field energy density in the cavity with the movable wall with respect to the case of a fixed wall, and corrections to the usual Casimir forces between the two walls. We then investigate the case of two one-dimensional cavities separated by a movable wall of finite mass, with two massless scalar fields defined in the two cavities. We show that in this case correlations between the squared fields in the two cavities exist, mediated by the movable wall, at variance with the fixed-wall case.

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Section: The Hamiltonian Model and The Interacting Ground Statementioning

confidence: 99%

Field observables near a fluctuating boundary

Armata

Butera

Federico

et al. 2023

J. Phys.: Conf. Ser.

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“…Cavity optomechanics (COM) [1][2][3][4][5] is an important research direction for the next generation of quantum information technology. It is a physical model produced under the action of radiation pressure [6][7][8]. Optomechanically induced transparency (OMIT) is an important part of COM.…”

Section: Introductionmentioning

confidence: 99%

Optomechanically induced transparency in a hybrid system containing two-level atomic ensemble and optical parametric amplifier

Yu,

Pan

2024

Laser Phys.

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We investigate the physical properties of multiple optomechanically induced transparency in a system. The system consists of two charged mechanical resonators and an optical cavity. An optical parametric amplifier (OPA) and a two-level atom ensemble are filled into the optical cavity. Some physical phenomena appear in the system driven by the probe field and the pump field. The width of transparent windows can be manipulated by the coupling strengths of the system. Specifically, the width of the transparency window increases with an increase in the parametric gain of the optical parametric amplifier (OPA). Furthermore, the number of transparent windows and the location of transparent points are also affected by the system parameters. The presence of two-level atomic ensemble causes the double transparent windows to be split three transparent windows. The Coulomb coupling between the two charged mechanical resonators causes the transparent points to move. Our approach provides a great flexibility for manipulating multiple induced transparency. It is helpful to study the quantum properties of nonlinear optical systems.

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“…For example, by using a zero-dimensional model for a black hole and by pursuing a fully quantum treatment of the problem, the deviation from thermal spectrum of the (analog of) Hawking radiation has been predicted [22,23]. Similarly, in optomechanics, theoretical studies have anticipated a radiative friction experienced by an accelerated mirror in response to the dynamical Casimir emission (DCE) [24,25,26], and hinted at an important role of quantum fluctuations in determining the evolution of the quantum state of the mirror itself [27,28,29,30].…”

Section: Introductionmentioning

confidence: 99%

Analog simulations of early universe pre-heating and the back-reaction effect

Butera

Carusotto

2023

J. Phys.: Conf. Ser.

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We theoretically propose a ring-shaped, two-dimensional atomic Bose-Einstein condensate as analog model to investigate back-reaction effects during the pre-heating of the early universe. We study the out-of-equilibrium dynamics by which the inflaton field decays by parametrically exciting the vacuum fluctuations that initially populate the matter fields. By working at the level of the truncated Wigner approximation, our numerical simulations show how a signature of back-reaction beyond the semiclassical level is encoded in the effective friction experienced by the analog of the inflaton field, as well as in the spatial de-phasing of its oscillations and in the entanglement between the inflaton and matter fields degrees-of-freedoms.

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Influence functional for two mirrors interacting via radiation pressure

Cited by 11 publications

References 45 publications

Field observables near a fluctuating boundary

Field observables near a fluctuating boundary

Optomechanically induced transparency in a hybrid system containing two-level atomic ensemble and optical parametric amplifier

Analog simulations of early universe pre-heating and the back-reaction effect

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