Analytical and numerical analysis of the atom–field dynamics in non-stationary cavity QED

Додонов, А. В.; Nardo, R. Lo; Migliore, Rosanna; Messina, A.; Dodonov, V. V.

doi:10.1088/0953-4075/44/22/225502

Cited by 33 publications

(59 citation statements)

References 37 publications

(71 reference statements)

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“…Thus one can achieve the steady population transfer from |R 0 to |R 2,−D , which corresponds approximately to the transition |g, 0 → |e, 1 . For ν(t) = 0 this behavior was previously named Anti-Jaynes-Cummings regime [5,6] or the blue-sideband transition [54]. On the other hand, for…”

Section: B Dispersive Regimementioning

confidence: 99%

“…Due to the relative ease to achieve the strong coupling regime, in which the coherent light-matter coupling rate is much larger than the system damping and dephasing rates [1,4], this setup can probe novel phenomena with tiny coupling rates. One example is the implementation of the dynamical Casimir effect (DCE) and associated phenomena using actively controlled artificial atoms, which may serve both as the source and the detector of modulationinduced radiation [5][6][7][8][9][10][11]. We recall that DCE is a common name ascribed to the processes in which photons are generated from vacuum due to the external timevariation of boundary conditions for some field [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Effective Landau-Zener transitions in the circuit dynamical Casimir effect with time-varying modulation frequency

2016

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We consider the dissipative single-qubit circuit QED architecture in which the atomic transition frequency undergoes a weak external time-modulation. For sinusoidal modulation with linearly varying frequency we derive effective Hamiltonians that resemble the Landau-Zener problem of finite duration associated to a two-or multi-level systems. The corresponding off-diagonal coupling coefficients originate either from the rotating or the counter-rotating terms in the Rabi Hamiltonian, depending on the values of the modulation frequency. It is demonstrated that in the dissipationless case one can accomplish almost complete transitions between the eigenstates of the bare Rabi Hamiltonian even for relatively short duration of the frequency sweep. To assess the experimental feasibility of our scheme we solved numerically the phenomenological and the microscopic quantum master equations in the Markovian regime at zero temperature. Both models exhibit qualitatively similar behavior and indicate that photon generation from vacuum via effective Landau-Zener transitions could be implemented with the current technology on the timescales of a few microseconds. Moreover, unlike the harmonic dynamical Casimir effect implementations, our proposal does not require the precise knowledge of the resonant modulation frequency to accomplish meaningful photon generation.

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Section: B Dispersive Regimementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effective Landau-Zener transitions in the circuit dynamical Casimir effect with time-varying modulation frequency

2016

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“…The possibility of particle creation via the DCE has been theoretically identified and investigated in a large variety of systems. Examples range from cosmology, such as particle creation as a consequence of an expanding gravitational background [8], to non-stationary cavity QED, such as photon generation in Fabry-Pérot cavities with moving mirrors [1,[9][10][11][12][13][14]. Moreover, various theoretical schemes for practical applications of the DCE have been proposed, including generation of photons with nonclassical properties [15][16][17], generation of atomic squeezed sates [18], generation of multipartite entanglement in cavity networks [19], and generation of EPR quantum steering and Gaussian interferometric power [20].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Casimir effect of phonon excitation in the dispersive regime of cavity optomechanics

2017

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In this paper, we theoretically propose and investigate a feasible experimental scheme for realizing the dynamical Casimir effect (DCE) of phonons in an optomechanical setup formed by a ground-state precooled mechanical oscillator (MO) inside a Fabry-Pérot cavity, which is driven by an amplitude-modulated classical laser field in the dispersive (far-detuned) regime. The time modulation of the driving field leads to the parametric amplification of the mechanical vacuum fluctuations of the MO, which results in the generation of Casimir phonons over time scales longer than the cavity lifetime. We show that the generated phonons exhibit quadrature squeezing, bunching effect, and super-Poissonian statistics which are controllable by the externally modulated laser pump. In particular, we find that the scheme allows for a perfect squeezing transfer from one mechanical quadrature to another when the laser frequency is varied from red detuning to blue detuning. Moreover, by analyzing the effect of the thermal noise of the MO environment, we find that there exists a critical temperature above which there is no phonon quadrature squeezing to occur. We also show that in the presence of time modulation of the driving laser the linewidth narrowing of the displacement spectrum of the MO can be considered as a signature of the generation of Casimir phonons.

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“…Photon creation in a harmonically oscillating one-dimensional cavity with mixed boundary conditions has been analyzed [27]. The DCE has also been investigated in the context of cavity QED [28,29], in Bose-Einstein condensates [30], in excition-polariton condensates [31], in superconducting circuits [32], and in a quantum-well assisted optomechanical cavity [33]. Be-sides its intrinsic importance as a direct proof of the vacuum fluctuations, various practical applications of the DCE has been proposed, e.g., for generation of photons with nonclassical properties [34][35][36][37], for high precision optical interferometry [38], for generation of atomic squeezed states [39], for multipartite entanglement generation in cavity networks [40], and for quantum communication protocols [41].…”

Section: Introductionmentioning

confidence: 99%

Analogue model for controllable Casimir radiation in a nonlinear cavity with amplitude-modulated pumping: generation and quantum statistical properties

2015

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We present and investigate an analogue model for a controllable photon generation via the dynamical Casimir effect (DCE) in a cavity containing a degenerate optical amplifier (OPA) which is pumped by an amplitude-modulated field. The time modulation of the pump field in the model OPA system is equivalent to a periodic modulation of the cavity length, which is responsible for the generation of the Casimir radiation. By taking into account the rapidly oscillating terms of the modulation frequency, the effects of the corresponding counter-rotating terms (CRTs) on the analogue Casimir radiation emerge clearly. We find that the mean number of generated photons and their quantum statistical properties exhibit oscillatory behaviours, which are controllable through the modulation frequency as an external control parameter. We also recognize a new phenomenon, the so-called "Anti-DCE ", in which pair photons can be coherently annihilated due to the timemodulated pumping. We show that the Casimir radiation exhibits quadrature squeezing, photon bunching and super-Poissonian statistics which are controllable by modulation frequency. We also calculate the power spectrum of the intracavity light field. We find that the appearance of the side bands in the spectrum is due to the presence of the CRTs.

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Analytical and numerical analysis of the atom–field dynamics in non-stationary cavity QED

Cited by 33 publications

References 37 publications

Effective Landau-Zener transitions in the circuit dynamical Casimir effect with time-varying modulation frequency

Effective Landau-Zener transitions in the circuit dynamical Casimir effect with time-varying modulation frequency

Dynamical Casimir effect of phonon excitation in the dispersive regime of cavity optomechanics

Analogue model for controllable Casimir radiation in a nonlinear cavity with amplitude-modulated pumping: generation and quantum statistical properties

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