Jaynes-Cummings-model with damping at resonance

Lindner, Albrecht; Freese, H.; Quehl, G.; Reiß, D.; Schiller, K.

doi:10.1007/s100530170043

Cited by 7 publications

(5 citation statements)

References 30 publications

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“…In these models a two-level atom is coupled to a single-mode cavity field whose energy levels are identical to those of an oscillator. When damping of the cavity field [6] or both the cavity field and atoms [7] are taken into account, the physical systems appear to be the same. It is true that the dressed states of the Jaynes-Cummings model and our atom-oscillator system are identical.…”

Section: Introductionmentioning

confidence: 99%

Atom and quantum oscillator coupled by the vacuum field: Radiation pattern, emission spectrum, and decay dynamics

Berman

Ooi

2016

Phys. Rev. A

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We study the dynamics of a system consisting of a two-level atom and a quantum oscillator coupled by the vacuum radiation field. The oscillator and the atom are assumed to have the same resonance frequency. In contrast to the two-atom or two-oscillator case, the atom-oscillator system leads to an unclosed hierarchy of equations for the operators that determine the radiation pattern emitted by the atom-oscillator system. Instead of using the operator equations, we formulate the problem in terms of density-matrix equations which can be solved once the initial conditions are specified. As an example, we looked at the radiation pattern, the decay dynamics, and the spectrum for an initial condition in which the oscillator is in its n = 1 state and the atom is in its excited state. Dressed states (dressed by the static interaction between the atom and oscillator) prove to be especially useful for interpreting the results and comparing them with the two-atom and two-oscillator systems. All calculations are carried out using the resonance or rotating-wave approximation. The relationship of our work to damped Jaynes-Cummings models is noted.

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Section: Introductionmentioning

confidence: 99%

Atom and quantum oscillator coupled by the vacuum field: Radiation pattern, emission spectrum, and decay dynamics

Berman

Ooi

2016

Phys. Rev. A

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“…In the last two decades, attention has been focused on some dissipative variants of this model in the last two decades [5][6][7][8][9][10][11][12][13][14]. The experiments with highly excited Rydberg atoms allowed some of the predictions of the extended versions of the JC model to be observed.…”

Section: Introductionmentioning

confidence: 99%

“…Decoherence due to the irreversible coupling of the system to the reservoir will eventually turn a correlated state into a statistical mixture. Some of these aspects have been studied analytically [5][6][7][8][9][10][11] and numerically [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Entropy and entanglement in the Jaynes–Cummings model with effects of cavity damping

Obada¹,

Hessian²,

Mohamed³

2008

J. Phys. B: At. Mol. Opt. Phys.

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The temporal evolution of entanglement for a single-mode field interacting with a two-level atom via intensity-dependent coupling in the off-resonant case has been studied, where the leakage of photon through the cavity is taken into account. The effects of cavity damping on the coherence properties of the atom and the field are studied. The amount of entanglement is compared with the total correlations. It is found that the atom–field system is inhibited from going into a pure state in the off-resonant case.

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“…This is due to recent experiments with single-atomic masers on the Rydberg atoms [1-4]. One of the important aspects of a theoretical description of single-atom dynamics in a cavity is a consideration of photon losses from the resonator [5][6][7][8]. In our recent studies [9, 10], we examined the dynamics of collective dissipation of two two-level and three-level atomic systems with allowed Λ-type transitions.…”

mentioning

confidence: 98%

“…Using solutions (8), we can find the average value of any observable quantity. In particular, for the average number of photons in the modes, we have…”

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confidence: 99%

Collective radiation of a system of two three-level V-type atoms in a two-mode resonator with losses

Bashkirov¹

2006

Russ Phys J

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Collective spontaneous radiation of a system of two three-level V-type atoms interacting with two modes of a quantum electromagnetic field in a resonator with finite Q-factor is investigated based on the control kinetic equation for the density matrix. Time dependences of the average number of photons and radiation intensity of each mode are derived for the case in which atoms at the initial moment of time are in different excited states.Considerable recent attention has been focused on a theoretical study of the dynamic properties of individual atoms in the resonator. This is due to recent experiments with single-atomic masers on the Rydberg atoms [1-4]. One of the important aspects of a theoretical description of single-atom dynamics in a cavity is a consideration of photon losses from the resonator [5][6][7][8]. In our recent studies [9, 10], we examined the dynamics of collective dissipation of two two-level and three-level atomic systems with allowed Λ-type transitions. It is of interest to generalize the results obtained to the case of collective spontaneous radiation of two three-level V-type atoms. In the three-level atom, the Λ-type dipole transitions between the upper level and two lower levels are allowed; on the contrary, in the three-level V-type atom, transitions between the lower level and two upper levels are allowed. Of special interest is a theoretical description of the dynamics of V-type systems due to the opportunity of their use in logic elements of quantum computers [11].Let us consider a system of two identical three-level atoms with V-type allowed transitions (Fig. 1) interacting with two modes of the quantum electromagnetic field in a resonator with losses.Following [5], we can write down the equation for the density matrix of the examined system in the form ( ) 2

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Jaynes-Cummings-model with damping at resonance

Cited by 7 publications

References 30 publications

Atom and quantum oscillator coupled by the vacuum field: Radiation pattern, emission spectrum, and decay dynamics

Atom and quantum oscillator coupled by the vacuum field: Radiation pattern, emission spectrum, and decay dynamics

Entropy and entanglement in the Jaynes–Cummings model with effects of cavity damping

Collective radiation of a system of two three-level V-type atoms in a two-mode resonator with losses

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