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Evolution of cat states in a dissipative parametric amplifier: decoherence and entanglement

Faisal A.A. El-Orany, Jan Peřina, V. Peřinová +1 more

arXiv:1108.0127The European Physical Journal DJan 1, 20039 citations

Generating Entangled State with Parametric Amplifier

Huang Jian

International Journal of Theoretical PhysicsDec 11, 20160 citations

Time evolution of the coherent state in a degenerate parametric amplifier

Gang Ren, Jian-ming Du, Wen‐Hai Zhang +1 more

OptikMar 19, 20160 citations

Separability dynamics of two-mode Gaussian states in parametric conversion and amplification

Alexandre V. Dodonov, V. V. Dodonov, Salomon Sylvain Mizrahi

We give a simplified form of Simon's separability criterion for two-mode Gaussian states, showing that for systems whose unitary evolution is governed by arbitrary time-dependent quadratic Hamiltonians, the separability dynamics is completely described in terms of the determinant of the cross-covariance matrix. As concrete examples, we consider the evolution of the 'inverse negativity coefficient' (which gives a quantitative estimation of the 'degree of entanglement') for two initially uncoupled modes (each being in a squeezed thermal state) in the cases of parametric converter, parametric amplifier and for a cavity whose boundary oscillates in resonance with two field modes.We give a simplified form of Simon's separability criterion for two-mode Gaussian states, showing that for systems whose unitary evolution is governed by arbitrary time-dependent quadratic Hamiltonians, the separability dynamics is completely described in terms of the determinant of the cross-covariance matrix. As concrete examples, we consider the evolution of the 'inverse negativity coefficient' (which gives a quantitative estimation of the 'degree of entanglement') for two initially uncoupled modes (each being in a squeezed thermal state) in the cases of parametric converter, parametric amplifier and for a cavity whose boundary oscillates in resonance with two field modes.

Journal of Physics A Mathematical and GeneralDec 24, 200452 citations

Temporal second-order coherence function for displaced-squeezed thermal states

Moorad Alexanian

We calculate the quantum mechanical, temporal second-order coherence function for a single-mode, degenerate parametric amplifier for a system in the Gaussian state, viz. a displaced–squeezed thermal state. The calculation involves first dynamical generation at time t of the Gaussian state from an initial thermal state and subsequent measurements of two photons a time τ≥0 apart. The generation of the Gaussian state by the parametric amplifier insures that the temporal second-order coherence function depends only on τ, via τ/t, for the given Gaussian state parameters, Gaussian state preparation time t, and average number n¯ of thermal photons. It is interesting that the time evolution for displaced thermal states shows a power decay in τ/t rather than an exponential one as is the case for general, displaced–squeezed thermal states.We calculate the quantum mechanical, temporal second-order coherence function for a single-mode, degenerate parametric amplifier for a system in the Gaussian state, viz. a displaced–squeezed thermal state. The calculation involves first dynamical generation at time t of the Gaussian state from an initial thermal state and subsequent measurements of two photons a time τ≥0 apart. The generation of the Gaussian state by the parametric amplifier insures that the temporal second-order coherence function depends only on τ, via τ/t, for the given Gaussian state parameters, Gaussian state preparation time t, and average number n¯ of thermal photons. It is interesting that the time evolution for displaced thermal states shows a power decay in τ/t rather than an exponential one as is the case for general, displaced–squeezed thermal states.

arXiv:1512.00840Journal of Modern OpticsNov 13, 20157 citations

Quantum statistics of the degenerate parametric amplifier

M. Sebawe Abdalla

Physica A Statistical Mechanics and its ApplicationsOct 1, 19944 citations

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