Two atoms in a cavity

Jena, Ishita (2023) Two atoms in a cavity. Masters thesis, Indian Institute of Science Education and Research Kolkata.

Text (MS dissertation of Ishita Jena (8MS169)) Thesis_18MS169.pdf - Submitted Version Restricted to Repository staff only Download (783kB)

Abstract

This project is about a system of two atoms in a cavity, where the two two-level atoms have no dipolar interaction between them but individually interact with the cavity field. The emergence of entanglement between the two atoms is due to the common environment of the cavity. This problem has earlier been studied by Plenio and Huelga and they have used a non-Hermitian conditional Hamiltonian and the quantum jump approach to solve the system. We are trying to solve it by treating it as an open quantum system problem and using a modified master equation; the fluctuation regulated quantum master equation. (It differs from other forms of the master equation by taking into account an exponential regulator arising from the ensemble averaging of the fluctuations of the bath.) The atoms-cavity system is in contact with the free radiation field (bath) which leads to the dissipative dynamics observed. We have solved it numerically and have found that eventually, the cavity mode decays and the atoms reach the pure entangled atomic state as predicted by Plenio and Huelga. In addition to that, we have also looked at the behaviour of the steady state concurrence as a function of system-bath coupling and temperature of the bath to find the optimal parameters for an ideal entanglement storage device.

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