Generalized Jaynes-Cummings model with atomic motion

Bartzis, V.

doi:10.1016/0378-4371(92)90399-b

Cited by 22 publications

(10 citation statements)

References 22 publications

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“…We can solve two coupled first order differential equations (19) and (20) in a straightforward way. We have…”

Section: Dynamical Evolutionmentioning

confidence: 99%

“…In the standard JCM, the interaction between a constant electric field and a stationary (motionless) two-level atom is considered. With the development in the technologies of laser cooling and atom trapping the interaction between a moving atom and the field has attracted much attention [16][17][18][19][20][21][22][23][24][25]. In particular, it has been shown that the atomic motion can bring about the nonlinear transient effects similar to self-induced transparency (SIT) and adiabatic following (AF) [26], the possibility of realizing an optical switching [25], change the creating time of Schrödinger cat states [22] and exhibit long time entropy squeezing effect [24].…”

Section: Introductionmentioning

confidence: 99%

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Quantum statistical properties of the Jaynes–Cummings model in the presence of a classical homogeneous gravitational field

Mohammadi¹,

Naderi²,

Soltanolkotabi³

2007

J. Phys. A: Math. Theor.

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The temporal evolution of quantum statistical properties of an interacting atom-field system in the presence of a homogeneous gravitational field is investigated within the framework of the Jaynes-Cummings model. Taking into account both the atomic motion and gravitational field a full quantum treatment of the internal and external dynamics of the atom is presented based on an alternative su(2) dynamical algebraic structure. By solving analytically the Schrödinger equation in the interaction picture, the evolving state of the system is found by which the influence of the gravitational field on the dynamical behavior of the atom-field system is explored. Assuming that initially the field is prepared in a coherent state and the two-level atom is in a coherent superposition of the excited and ground states, the influence of gravity on the atomic dipole moment, collapses and revivals of the atomic motion, atomic momentum diffusion, photon counting statistics and quadrature squeezing of the radiation field is studied.

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“…We can solve two coupled first order differential equations (19) and (20) in a straightforward way. We have…”

Section: Dynamical Evolutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum statistical properties of the Jaynes–Cummings model in the presence of a classical homogeneous gravitational field

Mohammadi¹,

Naderi²,

Soltanolkotabi³

2007

J. Phys. A: Math. Theor.

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“…where, for a particular experimentally-possible choice of the atomic motion v = λL/π [2,4,50], the function θ(t) is given by…”

Section: Linear On-resonance Solutionmentioning

confidence: 99%

Quantum Entropy of a Nonlinear Two-level Atom with Atomic Motion

Ateto

2009

Int J Theor Phys

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The wave function of a system governed by the time-dependent nonlinear JaynesCummings (JC) model is obtained. We compute analytically the eigenvalues of the reduced field density operator by which the dynamics of the entropy of entanglement of the cavity field are analyzed. The influences of the atomic motion, the field-mode structure and the Kerr-like medium on this phenomenon are illustrated. The population dynamics of an excited atom is also discussed for the same set of parameters. The cavity field is assumed to be initially excited in either a Fock or a coherent states. The cavity excitation in a Fock state generates a class of an entanglement without death with fixed amplitude by adjusting the parameters of the atomic motion as well as the Kerr and the field-mode structure. In case of a coherent cavity, the only phenomenon to be noted is the periodical behavior of the dynamics under study when the atomic motion is considered. Although the Kerr medium affects the strength of the entanglement negatively, the entropy of entanglement loses its zeros where the Kerr is taken into consideration.

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Section: Introductionmentioning

confidence: 99%

Non-Markovian analysis of the phase-damped Jaynes-Cummings model in the presence of a classical homogeneous gravitational field

Mohammadi¹

2009

Phys. Rev. A

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In this paper, the non-Markovian dissipative dynamics of the phase damped Jaynes-Cummings model in the presence of a classical homogeneous gravitational field will be analyzed. The model consists of a moving two-level atom simultaneously exposed to the gravitational field and a single-mode traveling radiation field in the presence of a non-Markovian phase damping mechanism. First, the non-Markovian master equation for the reduced density operator of the system in terms of a Hamiltonian describing the atom-field interaction in the presence of a homogeneous gravitational field will be presented. Then, the superoperator technique will be generalized and an exact solution of the non-Markovian master equation will be obtained. Assuming that initially the radiation field is prepared in a Glauber coherent state and the two-level atom is in the excited state, the non-Markovian effects on the temporal evolution of collapses and revivals of the atomic population inversion and photon counting statistics of the radiation field in the presence of both the phase damping and a homogeneous gravitational field will be investigated.

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Generalized Jaynes-Cummings model with atomic motion

Cited by 22 publications

References 22 publications

Quantum statistical properties of the Jaynes–Cummings model in the presence of a classical homogeneous gravitational field

Quantum statistical properties of the Jaynes–Cummings model in the presence of a classical homogeneous gravitational field

Quantum Entropy of a Nonlinear Two-level Atom with Atomic Motion

Non-Markovian analysis of the phase-damped Jaynes-Cummings model in the presence of a classical homogeneous gravitational field

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