Atomic emission and cavity field spectra for a two-photon Jaynes–Cummings model in the presence of the Stark shift

Nasreen, Tahira; Razmi, M. S. K.

doi:10.1364/josab.10.001292

Cited by 42 publications

(19 citation statements)

References 21 publications

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“…These amplitudes satisfy the normalization n (|wn| 2 + |vn| 2 ) = 1. The atomic inversion σz(t) has been calculated previously (41) and is given by Eq. S51.…”

Section: Methodsmentioning

confidence: 99%

“…which is missed by a classical field (40). We shall use a generalized JC model, where the system-cavity field coupling is time dependent (41)(42)(43). To achieve temporal modulation, cavity mirror must be manipulated on a similar timescale to the molecular dynamics that needs to be controlled.…”

Section: Significancementioning

confidence: 99%

“…Analytical solutions for the time evolution of the population inversion for the time-dependent JC model can be derived for specific time profiles of the system-cavity coupling (41,42,45). The gated number of photons spontaneously emitted into noncavity modes and photon coincidence signals for this analytically solvable time-dependent JC model are given by two-point and four-point correlation functions of the dipole operator, respectively.…”

Section: Significancementioning

confidence: 99%

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Multidimensional photon correlation spectroscopy of cavity polaritons

Dorfman

Mukamel

2018

Proc. Natl. Acad. Sci. U.S.A.

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The strong coupling of atoms and molecules to radiation field modes in optical cavities creates dressed matter/field states known as polaritons with controllable dynamical and energy transfer properties. We propose a multidimensional optical spectroscopy technique for monitoring polariton dynamics. The response of a two-level atom to the time-dependent coupling to a single-cavity mode is monitored through time-and-frequency-resolved single-photon coincidence measurements of spontaneous emission. Polariton population and coherence dynamics and its variation with cavity photon number and controlled by gating parameters are predicted by solving the Jaynes-Cummings model.

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“…These amplitudes satisfy the normalization n (|wn| 2 + |vn| 2 ) = 1. The atomic inversion σz(t) has been calculated previously (41) and is given by Eq. S51.…”

Section: Methodsmentioning

confidence: 99%

Section: Significancementioning

confidence: 99%

Section: Significancementioning

confidence: 99%

See 1 more Smart Citation

Multidimensional photon correlation spectroscopy of cavity polaritons

Dorfman

Mukamel

2018

Proc. Natl. Acad. Sci. U.S.A.

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“…Under the condition that the trap frequency is much greater than the atomic decay rate, it is possible to ignore the effects of atomic decay [48]. In addition, the effect of cavity losses on the system may also be neglected if the Q factor of the cavity is high enough [49] and the thermal noise of mirrors in OMC can be reduced by cold damping [50]. This paper organizes as follows: Our model for quantum repeater protocol is introduced in Sec.…”

Section: Introductionmentioning

confidence: 99%

Distributing entangled state using quantum repeater protocol: Trapped atomic ions in optomechanical cavities

Ghasemi

Tavassoly

2020

Physics Letters A

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Distribution of the entangled state of trapped atomic ions to long distance using quantum repeater protocol is considered. Indeed, the long distance is divided into short parts, and then using entanglement generation and entanglement swapping techniques in optomechanical cavities, the entanglement is distributed. To do the task, we perform interaction between trapped atomic ions in optomechanical cavities, operate proper measurements on trapped ions and also make Bell state measurement as a well-known way to swap the entanglement. Accordingly, the entanglement is distributed between target ions with satisfactory values of success probability and entanglement degree. The effects of detuning and amplitude of pump laser on the entanglement and success probability are evaluated. The fluctuations of entanglement and success probability are decreased by increasing of detuning. Via increasing the amplitude of pump laser, the maxima of entanglement are repeated more times and success probability undergoes the collapse-revival phenomenon.

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“…The two-photon Jaynes-Cummings model was introduced to study the coupling between a single atom and a single-mode cavity field, with the atom making two-photon transitions [25]. This model has attracted a lot of attention and has been studied interacting with the squeezed vacuum [26], in a Kerr-like medium [27], among other works [28][29][30][31]. The multiphoton generalization of this model was introduced shortly after the two-photon model by Sukumar and Buck to study the atomic dynamics of such models interacting with coherent light [32].…”

Section: Introductionmentioning

confidence: 99%

Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model

2018

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We study and exactly solve the two-photon and k-photon Jaynes-Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the SU (2) group and let us diagonalize the Hamiltonian of these models by properly choosing the coherent state parameters of the transformation. Finally, we explicitly obtain the energy spectrum and eigenfunctions for each model.

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Atomic emission and cavity field spectra for a two-photon Jaynes–Cummings model in the presence of the Stark shift

Cited by 42 publications

References 21 publications

Multidimensional photon correlation spectroscopy of cavity polaritons

Multidimensional photon correlation spectroscopy of cavity polaritons

Distributing entangled state using quantum repeater protocol: Trapped atomic ions in optomechanical cavities

Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model

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