Interaction of a moving two-level atom with a single-mode quantized cavity field

Deb, Bimalendu; Sen, Surajit

doi:10.1103/physreva.56.2470

Cited by 12 publications

(4 citation statements)

References 13 publications

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“…), (3,15), (4,14), (5,13), (6,11), (7,8), (7,9), (8, 2), (8, 3), (8, 4)}. For the initially excited detector, the number expectation values are underestimated only for those modes with associated energies that are close to the detector's gap for low accelerations; for higher accelerations this will get shifted in l direction mainly due to the Doppler shift.…”

Section: Validity Of Non-relativistic Approximationmentioning

confidence: 99%

“…Although there are many treatments of quantum optics in a cavity in which the full spatial and temporal mode structures are considered, the number of cases where these approximations are used is vast. For instance, among many, see [1][2][3][4][5][6][7][8] for the single-or few-mode approximation, or, e.g., [9][10][11][12][13] for the usage of 1+1D cavities. While simplifying the problem, sometimes the rationale for these simplifications remains to be justified, above all in relativistic regimes.…”

Section: Introductionmentioning

confidence: 99%

“…(a, d) aL = 0.00005 (final velocity about 0.01); (b, e) aL = 0.005 (final velocity about 0.1); (c, f) aL = 0.05 (final velocity about 0.3). The following field modes are within 2% of the detector's gap:(l, n) = {(1, 16),(3,15),(4,14),(5,13),(6,11),(7,8),(7,9),(8,2),(8,3),(8,4)}. For the initially excited detector, the number expectation values are underestimated only for those modes with associated energies that are close to the detector's gap for low accelerations; for higher accelerations this will get shifted in l direction mainly due to the Doppler shift.…”

mentioning

confidence: 99%

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Relativity and quantum optics: accelerated atoms in optical cavities

Lopp¹,

Martín-Martínez²,

Page³

2018

Class. Quantum Grav.

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We analyze the physics of accelerated particle detectors (such as atoms) crossing optical cavities. In particular we focus on the detector response as well as on the energy signature that the detectors imprint in the cavities. In doing so, we examine to what extent the usual approximations made in quantum optics in cavities (such as the single-mode approximation, or the dimensional reduction of 3+1D cavities to simplified 1+1D setups) are acceptable when the atoms move in relativistic trajectories. We also study the dependence of these approximations on the state of the atoms and the relativistic nature of the trajectory. We find that, on very general grounds, and already in the weak coupling limit, single-and few-mode approximations, as well as 1+1D dimensional reductions, yield incorrect results when relativistic scenarios are considered.

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Section: Validity Of Non-relativistic Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Relativity and quantum optics: accelerated atoms in optical cavities

Lopp¹,

Martín-Martínez²,

Page³

2018

Class. Quantum Grav.

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“…In Ref. [18] the authors have provided a dressed formalism for the dynamics of a moving two-level atom interacting with a quantized cavity-field by taking into account the Roentgen interaction [37]. All of the foregoing studies devoted to the JC model with atomic motion have been done only under the condition that the influence of the gravitational field is not taken into account.…”

Section: Introductionmentioning

confidence: 99%

Dynamical behaviours of the nonlinear atom–field interaction in the presence of classical gravity:f-deformation approach

Barzanjeh

Naderi

Soltanolkotabi

2010

J. Phys. A: Math. Theor.

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In this paper, we investigate the effects of a classical gravitational field on the dynamical behaviour of nonlinear atom-field interaction within the framework of the f -deformed Jaynes-Cummings model. For this purpose, we first introduce a set of new atomic operators obeying an f -deformed su(2) algebraic structure to derive an effective Hamiltonian for the system under consideration. Then by solving the Schrödinger equation in the interaction picture and considering certain initial quantum states for the atomic and radiation subsystems, we analyze the influence of gravity on the temporal evolution of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics, and deformed quadrature squeezing of the radiation field.

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Dynamics of cascade three-level system interacting with the classical and quantized field

Nath¹,

Sen²,

Gangopadhyay

2003

Pramana - J Phys

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We study the exact solutions of the cascade three-level atom interacting with a single mode classical and quantized field with different initial conditions of the atom. For the semiclassical model, it is found that if the atom is initially in the middle level, the time dependent populations of the upper and lower levels are always equal. This dynamical symmetry exhibited by the classical field is spoiled on quantization of the field mode. To reveal this nonclassical effect an Euler matrix formalism is developed to solve the dressed states of the cascade Jaynes-Cummings model (JCM). Possible modification of such effect on the collapse and revival phenomenon is also discussed by taking the quantized field in a coherent state.

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Interaction of a moving two-level atom with a single-mode quantized cavity field

Cited by 12 publications

References 13 publications

Relativity and quantum optics: accelerated atoms in optical cavities

Relativity and quantum optics: accelerated atoms in optical cavities

Dynamical behaviours of the nonlinear atom–field interaction in the presence of classical gravity:f-deformation approach

Dynamics of cascade three-level system interacting with the classical and quantized field

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