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Journal of Russian Laser Research

Generation and Control of Bipartite Entanglement in a Correlated Spontaneous-Emission Laser

Haleema Sadia Qureshi, Shakir Ullah, Fazal Ghafoor

Published Sep 1, 2021• 5 citations
Publisher
DOI
10.1007/s10946-021-09988-9

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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.

•Sep 7, 2026•0 citations
Quantum teleportation, one of the most significant protocols in quantum information processing, allows the unembodied transfer of an unknown quantum state from one location to another distinct location. Here, we propose a scheme of continuous-variable quantum teleportation, wherein the two-mode Gaussian entangled state generated by a correlated spontaneous emission laser (CEL) system is used as a quantum resource. Initially, the two quantized cavity fields, in the form of single-mode Gaussian states characterized by the non-classicality and purity of the states, along with a strong classical field, are coupled to the gain medium of the CEL system. We consider a squeezed coherent state (SCS) for the teleportation process and calculate the time-dependent expression for its teleportation fidelity using the Wigner function formalism. In this framework, we thoroughly analyze the teleportation of the SCS, using its fidelity, for various parameters of the proposed system. We show that the amplified entanglement generated by the CEL system leads to an optimized fidelity for the teleportation of SCS.
The effect of spontaneously generated coherence on evolution of the entanglement between a driven four-level Y-type atom and its spontaneous emission field is studied. We have shown that the atom will be entangled to its spontaneous emission field due to spontaneously generated coherence and coherent population trapping at the steady state. It is found that the degree of entanglement strongly depends on the initial atomic state. So, it can be controlled by the pumping laser pulses used for preparing an initial atomic system. More interestingly, the atom–field system can be found in a permanently disentangled state for a properly prepared atom.
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.