Coherent two-photon transitions in Rydberg atoms in a cavity with finite<i>Q</i>

Rr, Puri; Gs, Agarwal

doi:10.1103/physreva.37.3879

Cited by 64 publications

(23 citation statements)

References 13 publications

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“…Alsing and Zubairy (1987), Davidovich et al (1987), Gerry (1988), Puri and Agarwal (1988), who include damping ; Mir and Razmi (1991), Zhou and Peng (1991)) . Analytic solutions to the general interaction R=(at)m(a) (108) have been presented by Kochetov (1987) .…”

Section: Generalized Interactionsmentioning

confidence: 97%

The Jaynes-Cummings Model

Shore

Knight

1993

Journal of Modern Optics

1,287

832

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Section: Generalized Interactionsmentioning

confidence: 97%

The Jaynes-Cummings Model

Shore

Knight

1993

Journal of Modern Optics

1,287

832

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“…If we assume that there is an upper limit on the number of photons initially present in the system [37,38], so χ ±± N+1,N+1 (t) = 0 is always true since the number of photons in the cavity will decrease only. Then at n = N, N − 1, .…”

Section: The Physical Model and Its Solutionmentioning

confidence: 99%

“…The time-dependent terms in this equation oscillate at the frequency proportional to the qubitfield coupling g. It can be shown that the contribution of the oscillatory terms is of the order of (γ 2 /g 2 ). Hence, if we make the secular approximation [36][37][38], i.e, we neglect the oscillatory terms by assuming (γ g), with the representatioṅ…”

Section: The Physical Model and Its Solutionmentioning

confidence: 99%

See 1 more Smart Citation

Purity and Correlation of a Cavity Field Interacting with a SC Charge Qubit with a Lossy Cavity

et al. 2013

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A single-mode microwave cavity field, coupled to its reservoir, interacting generally with a superconducting charge qubit is considered. Using a certain canonical transformation for the qubit states, the system is transformed into the usual Jaynes-Cummings model. The solution of the master equation of this system, in the case of a high-Q cavity is obtained. The temporal evolution of the population inversion is explored. The effects of cavity damping on the purity of the qubit, the field and the global system state are studied. It is found that due to the coupling between the system and environment, the purity is lost. The entanglement is compared with total correlation. It is found that, with the damping parameter, the asymptotic value of the correlation measure is not null, since the global system evolves to a classically correlated state. The negativity is used as an indicator of the degree of entanglement between the qubit and the field. The results indicate the sensitivity of these aspects to change of the damping parameter.

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“…Hence, one valuable extension of the JCM is well-known two-photon JCM. With the experimental realization of two-photon micromaser [13] the dissipative two-photon JCM has attracted a great deal of attention [14]- [18]. It is worth nothing that in all mentioned works the dissipative dynamics of the degenerate two-photon JCM has been under consideration.…”

Section: Introductionmentioning

confidence: 99%