2007
DOI: 10.1142/s0219749907002852
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Squeezing Oscillations of a Quantized Field Interacting With Pair of Cold Atoms via Intensity-Dependent Coupling

Abstract: We study the interaction between a single-mode electromagnetic field and a pair of indistinguishable two-level atoms via the intensity-dependent coupling. This problem is equivalent to the equidistant three-level atom with equal dipole moment matrix transition elements between the adjacent levels. The exact analytical solution for the atom-field state-vector is obtained assuming that at the initial moment the field is in the Holstein-Primakoff SU(1,1) coherent state. The quantum statistical and squeezing prope… Show more

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Cited by 7 publications
(7 citation statements)
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“…It should be noted that when λ 1 → λ 2 the Hamiltonian (5) passes into that corresponding to the pair of indistinguishable two-level atoms (Koroli 2007). On the other hand, in the limit λ 2 → 0 we observe that this Hamiltonian takes the form of the Hamiltonian for the single two-level atom model (Buzek 1989), in which the exact periodicity of the squeezing revivals takes place.…”
Section: The Hamiltonian Of a Three-level Radiator With Different Dip...mentioning
confidence: 99%
See 1 more Smart Citation
“…It should be noted that when λ 1 → λ 2 the Hamiltonian (5) passes into that corresponding to the pair of indistinguishable two-level atoms (Koroli 2007). On the other hand, in the limit λ 2 → 0 we observe that this Hamiltonian takes the form of the Hamiltonian for the single two-level atom model (Buzek 1989), in which the exact periodicity of the squeezing revivals takes place.…”
Section: The Hamiltonian Of a Three-level Radiator With Different Dip...mentioning
confidence: 99%
“…A detailed investigation of the quantum-statistical and squeezing properties of the radiation field in the interaction with a pair of cold atoms was performed by Koroli (2007). It has been shown that in the two-atom model the exact periodicity of the squeezing revivals is violated.…”
Section: Introductionmentioning
confidence: 99%
“…The form of the Hamiltonian (6) is similar with that for the Jaynes-Cummings model of the pair of atoms with the intensity-dependent coupling, 9 whereas the realizations of the operators K ± and K 0 in these two models are substantially different.…”
Section: The Hamiltonian Of the Pair Of Indistinguishable Two-level Amentioning
confidence: 84%
“…9 It was found that the exact periodicity of the squeezing oscillations in the two-atom system is violated, whereas in the single atom one takes place the exact periodicity of the squeezing revivals. 10 In this situation it is important to generalize this model to the two-photon Jaynes-Cummings model of the pair of indistinguishable two-level atoms interacting with the single-mode cavity field.…”
Section: Introductionmentioning
confidence: 99%
“…(1) when λ 2 → 0 (β → 0), it is equivalent to the single two-level atom; and (2) when λ 2 → λ 1 (β → 1) it corresponds to an equal dipole moment matrix transition elements between the adjacent levels. This case is indeed equivalent to a pair of indistinguishable two-level atoms [22]. The states of the atomic pair can be described in the three-level states representation: (i) the ground state is equivalent to the case in which both atoms of the pair are in the ground state; (ii) the first exited state describes the case in which one atom of the pair is in the ground state and another atom is in the exited state, and (iii) in the second exited state, both atoms of the pair are in the exited state.…”
Section: Atom-field State Vectormentioning
confidence: 99%