Coherent control of spontaneous emission: Effect of counter-rotating terms

Xu, Jun; Yang, S.; Hu, Xiangming; Zubairy, M. Suhail

doi:10.1016/j.physleta.2011.10.052

Cited by 4 publications

(1 citation statement)

References 21 publications

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“…According to another report, the RWA is invalid in the strict weak interaction and so it doesn't gives valid low temperature dynamics [27]. In the coherent control of a driven three level system, counter rotating terms have great influence on the evolution of atomic population and spontaneous emission spectrum [28].…”

Section: Introductionmentioning

confidence: 99%

Mean field theory for the quantum Rabi model, inconsistency to the rotating wave approximation

Cordshooli

Mirzaee

2020

Physics Letters A

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Time evolution of pertinent operators in the Rabi Hamiltonian and its rotating wave approximation (RWA) version, the Jaynes-Cummings model (JCM), in the Heisenberg picture, gives systems of nonlinear differential equations (NDEs). Considering well localized atom, the mean field theory (MFT) was applied to replace the operators by equivalent expectation values. The Rabi model was reduced to a fourth orders NDE describing atoms position. Solution by the harmonic balance method (HBM) showed good accuracy and consistency to the numerical results, which introduces it as a useful tool in the quantum dynamics studies. The NDEs describing the JCM in the Heisenberg picture structurally prevent applying the MFT and shows inconsistency to the Ehrenfest's theorem, contrary to the Rabi model.

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Section: Introductionmentioning

confidence: 99%

Mean field theory for the quantum Rabi model, inconsistency to the rotating wave approximation

Cordshooli

Mirzaee

2020

Physics Letters A

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One Lyapunov control for quantum systems and its application to entanglement generation

Yang

2013

Physics Letters A

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Collective spontaneous emission beyond the rotating-wave approximation

Evers

Zheng

et al. 2012

Phys. Rev. A

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The collective spontaneous emission of N multilevel atoms is studied in optical vector theory and without applying the rotating-wave approximation. The counter-rotating terms are included using a unitary transformation method. We analyze the decay dynamics starting from two initial conditions, the standard Dicke and timed Dicke states. In addition to the dependence on ensemble volume and density, we also study the effect of the ensemble geometry on cooperative emission for spheres, cubes, and quasi-two-dimensional shapes in different orientations. Finally, time-dependent cooperative spontaneous emission rates are introduced and investigated

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Coherent control of spontaneous emission: Effect of counter-rotating terms

Cited by 4 publications

References 21 publications

Mean field theory for the quantum Rabi model, inconsistency to the rotating wave approximation

Mean field theory for the quantum Rabi model, inconsistency to the rotating wave approximation

One Lyapunov control for quantum systems and its application to entanglement generation

Collective spontaneous emission beyond the rotating-wave approximation

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