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AIP conference proceedings

Negativity dynamics of bipartite field states inside the cavities in squeezed vacuum reservoirs

Smail B. Bougouffa, A. Al‐Hajry, Ahmad Umar, Hamoud Al-Harbi, Nadir Bouarissa, Hamid Berriche, Mohammed El-Ghazaly

Published Jan 1, 2011• 6 citations
Publisher
DOI
10.1063/1.3638101

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Abstract On this paper, We investigate the generation and enhancement of bipartite entanglement in a three level cascade laser embedded in a Kerr nonlinear resonator and coupled to a squeezed vacuum reservoir. The system dynamics are modeled using a quantum master equation that incorporates atom-field interactions, Kerr nonlinearity, cavity damping, spontaneous emission, and squeezed vacuum effects. Applying the good cavity approximation, the atomic variables are adiabatically eliminated to derive effective cavity-field equations, which are transformed into c-number Langevin equations. Linearization around the steady state yields analytical expressions for second-order moments and the covariance matrix. Bipartite entanglement is quantified using the Duan inseparability criterion and logarithmic negativity. Our numerical results show that stronger Kerr nonlinearity and more squeezing greatly increase quantum correlations, while coherent pumping improves entanglement by boosting atomic coherence.However, higher cavity losses reduce entanglement due to photon loss.These findings highlight Kerr-enhanced cascade lasers with squeezed reservoirs as potential sources of entangled light for engineering bright, highly entangled CV optical sources for quantum key distribution, teleportation, and optical quantum networks.
Entanglement plays a crucial role in quantum information protocols; thus the dynamical behavior of entangled states is of great importance. In this paper, we suggest a useful scheme that permits a direct measure of entanglement in a two-qubit cavity system. It is realized through cavity-QED technology utilizing atoms as flying qubits. To quantify entanglement we use the concurrence. We derive the conditions that ensure that the state remains entangled in spite of the interaction with the reservoir. The phenomenon of entanglement sudden death in a bipartite system subjected to a squeezed vacuum reservoir is examined. We show that the sudden death time of the entangled states depends on the initial preparation of the entangled state and the parameters of the squeezed vacuum reservoir.
The dissipative and decoherence properties as well as the asymptotic behaviour of the single mode electromagnetic field interacting with the time-dependent squeezed vacuum field reservoir are investigated in detail by using the algebraic dynamical method. With the help of the left and right representations of the relevant hw (4) algebra, the dynamical symmetry of the nonautonomous master equation of the system is found to be su (1,1). The unique equilibrium steady solution is found to be the squeezed state and any initial state of the system is proven to approach the unique squeezed state asymptotically. Thus the squeezed vacuum field reservoir is found to play the role of a squeezing mold of the cavity field.