Erratum: Detectability of Dissipative Motion in Quantum Vacuum via Superradiance [Phys. Rev. Lett.<b>96</b>, 200402 (2006)]

Kim, Woo-Joong; Brownell, J. H.; Onofrio, Roberto

doi:10.1103/physrevlett.97.089902

Cited by 33 publications

(49 citation statements)

References 2 publications

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“…We should mention, to finish, that there are proposals to detect the radiated photons, although the reactive part and the possible deviations from conservative motion seem out of experimental reach yet [12].…”

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confidence: 98%

Hamiltonian Approach to the Dynamical Casimir Effect

Haro

Elizalde

2006

Phys. Rev. Lett.

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A Hamiltonian approach is introduced in order to address some severe problems associated with the physical description of the dynamical Casimir effect at all times. For simplicity, the case of a neutral scalar field in a one-dimensional cavity with partially transmitting mirrors (an essential proviso) is considered, but the method can be extended to fields of any kind and higher dimensions. The motional force calculated in our approach contains a reactive term -proportional to the mirrors' acceleration -which is fundamental in order to obtain (quasi)particles with a positive energy all the time during the movement of the mirrors-while always satisfying the energy conservation law. Comparisons with other approaches and a careful analysis of the interrelations among the different results previously obtained in the literature are carried out. . Here we will be interested in the production of the particles and their possible energy all the time while the mirrors are moving. In the case of a single, perfectly reflecting mirror, the number of produced particles as well as their energy diverge while the mirror moves. Several renormalization prescriptions have been used in order to obtain a welldefined energy; however, for some trajectories this finite energy is not a positive quantity and cannot be identified with the energy of the produced particles (see, e.g., [7]).Our approach relies on two basic ingredients: proper use of a Hamiltonian method and the consideration of partially transmitting mirrors, which become transparent to very high frequencies. We shall prove, in this way, both that the number of created particles is finite and also that their energy is always positive for the whole trajectory corresponding to the mirrors' displacement. We will also calculate the radiation-reaction force that acts on the mirrors owing to the emission and absorption of particles, which is related with the field's energy through the energy conservation law, so that the energy of the field at any time t is equal, with opposite sign, to the work performed by the reaction force up to time t [8,9]. Such force is usually split into two parts [10,11]: a dissipative force whose work equals minus the energy of the particles that remain [8], and a reactive force vanishing when the mirrors return to rest. We will show that the radiation-reaction force calculated from the Hamiltonian approach for partially transmitting

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confidence: 98%

Hamiltonian Approach to the Dynamical Casimir Effect

Haro

Elizalde

2006

Phys. Rev. Lett.

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“…These experiments stimulated new theoretical research on role of dynamical Casimir physics in quantum information processing, quantum simulations and engineering of nonclassical states of light and matter [15][16][17][18][19]. There are also ongoing experiments aimed at measuring the photon creation induced by the time-dependent conductivity of a semiconductor slab enclosed by an electromagnetic cavity [20], as well as proposals based on the use of high frequency resonators to produce the photons, and ultracold atoms to detect the created photons via superradiance [21].…”

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confidence: 99%

Numerical approach to simulating interference phenomena in a cavity with two oscillating mirrors

2017

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We study photon creation in a cavity with two perfectly conducting moving mirrors. We derive the dynamic equations of the modes and study different situations concerning various movements of the walls, such as translational or breathing modes. We can even apply our approach to one or three dimensional cavities and reobtain well known results of cavities with one moving mirror. We compare the numerical results with analytical predictions and discuss the effects of the intermode coupling in detail as well as the non perturbative regime. We also study the time evolution of the energy density as well and provide analytic justifications for the different results found numerically.

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“…To date, several experimental schemes to observe the DCE have been proposed [12][13][14][15][16][17][18], but only a few have succeeded [19,20]. The main limitation is because a non-negligible photon production can only be attained when the mirror's speed becomes comparable to the speed of light.…”

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Dynamical Casimir effect in stochastic systems: Photon harvesting through noise

et al. 2017

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We theoretically investigate the dynamical Casimir effect in a single-mode cavity endowed with a driven offresonant mirror. We explore the dynamics of photon generation as a function of the ratio between the cavity mode and the mirror's driving frequency. Interestingly, we find that this ratio defines a threshold-which we referred to as a metal-insulator phase transition-between an exponential growth and a low photon production. The low photon production is due to Bloch-like oscillations that produce a strong localization of the initial vacuum state, thus preventing higher generation of photons. To break localization of the vacuum state, and enhance the photon generation, we impose a dephasing mechanism, based on dynamic disorder, into the driving frequency of the mirror. Additionally, we explore the effects of finite temperature on the photon production. Concurrently, we propose a classical analogue of the dynamical Casimir effect in engineered photonic lattices, where the propagation of classical light emulates the photon generation from the quantum vacuum of a singlemode tunable cavity.

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Erratum: Detectability of Dissipative Motion in Quantum Vacuum via Superradiance [Phys. Rev. Lett.96, 200402 (2006)]

Cited by 33 publications

References 2 publications

Hamiltonian Approach to the Dynamical Casimir Effect

Hamiltonian Approach to the Dynamical Casimir Effect

Numerical approach to simulating interference phenomena in a cavity with two oscillating mirrors

Dynamical Casimir effect in stochastic systems: Photon harvesting through noise

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