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The European Physical Journal D

Atomic squeezing in assembly of two two-level atoms interacting with a single mode coherent radiation

Hari Prakash, R. Kumar

Published Feb 27, 2007• 9 citations
Publisher
DOI
10.1140/epjd/e2007-00042-8

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Sub-Poissonian photon statistics of light in interaction of two-level atoms in superposed states with a single mode superposed coherent radiation

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We study sub-Poissonian photon statistics of light in interaction of a single mode radiation, initially either in a coherent state or in a superposed coherent state with an assembly of two-level atoms using the Hamiltonian, H = ω(a+a + Sz) + g(aS+ + a+ S–) in natural units, where a+ and a are creation and annihilation operators, Sz, S ± are the collective Dicke operators, g is the coupling constant, and ω is the energy of the photons and also the separation between the two atomic levels. We study the cases of (i) a single two-level and (ii) of two two-level atoms interacting with a single mode coherent or superposed coherent radiation. We find that for large coupling time gt, Fano factor shows collapses and revival phenomena, and that the variation is large for small mean number of photons. We also find that in the case of two two-level atoms, photon statistics shows larger sub-Poissonian than the case of a single two-level atom, and that there is no definite relationship between squeezing and sub-Poissonian photon statistics of light.

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Squeezing of spin is usually discussed for x and y components ( S x and S y ), considering the commutation relation [ S x , S y ] = i S Z for the triad ( S x , S y , S Z ) of three mutually perpendicular spin components. We generalize and discuss squeezing of the spin component S θ = S x cosθ+ S y sinθ considering all possible such triads, which include S θ . For an explicit example involving the interaction of an assembly of two excited two-level atoms with single-mode coherent radiation, we find that S θ and S θ+π/2 can be squeezed simultaneously.

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Radiation Squeezing for M Two-Level Atoms Interacting with a Single Mode Coherent Radiation

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The squeezing of the electromagnetic field for M two level atoms existing in the Dicke state |r, m〉 and interacting with a single mode coherent radiation has been investigated under an approximation based on a fully quantum mechanical approach. The time dependent variance has been calculated and the influence of the number of photons and some other parameters are noted.

Chinese Journal of Physics•Oct 1, 2015•1 citation
We study sub-Poissonian photon statistics of light in interaction of a single mode radiation, initially either in a coherent state or in a superposed coherent state with an assembly of two-level atoms using the Hamiltonian, H = ω(a+a + Sz) + g(aS+ + a+ S–) in natural units, where a+ and a are creation and annihilation operators, Sz, S ± are the collective Dicke operators, g is the coupling constant, and ω is the energy of the photons and also the separation between the two atomic levels. We study the cases of (i) a single two-level and (ii) of two two-level atoms interacting with a single mode coherent or superposed coherent radiation. We find that for large coupling time gt, Fano factor shows collapses and revival phenomena, and that the variation is large for small mean number of photons. We also find that in the case of two two-level atoms, photon statistics shows larger sub-Poissonian than the case of a single two-level atom, and that there is no definite relationship between squeezing and sub-Poissonian photon statistics of light.
Squeezing of spin is usually discussed for x and y components ( S x and S y ), considering the commutation relation [ S x , S y ] = i S Z for the triad ( S x , S y , S Z ) of three mutually perpendicular spin components. We generalize and discuss squeezing of the spin component S θ = S x cosθ+ S y sinθ considering all possible such triads, which include S θ . For an explicit example involving the interaction of an assembly of two excited two-level atoms with single-mode coherent radiation, we find that S θ and S θ+π/2 can be squeezed simultaneously.