Two interacting atoms in a cavity: exact solutions, entanglement and decoherence

Abstract

We address the problem of two interacting atoms of different species inside a cavity and find the explicit solutions of the corresponding eigenvalues and eigenfunctions using a new invariant. This model encompasses various commonly used models. By way of example we obtain closed expressions for concurrence and purity as a function of time for the case where the cavity is prepared in a number state. We discuss the behaviour of these quantities and and their relative behaviour in the concurrence-purity plane.

10 pages, 3 figures

References in corpus (7)

• Finite-Time Disentanglement via Spontaneous Emission
• Non-Markovian effects on the dynamics of entanglement
• Observation of Strong Coupling between One Atom and a Monolithic Microresonator
• Protecting entanglement via the quantum Zeno effect
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Effective spin systems in coupled micro-cavities
• The effect of dipole-dipole interaction for two atoms with different couplings in non-Markovian environment

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• Nonlinear Jaynes-Cummings model for two interacting two-level atoms
• Manipulating entanglement sudden death in two coupled two-level atoms interacting off-resonance with a radiation field: an exact treatment
• Unambiguous atomic Bell measurement assisted by multiphoton states
• Multipartite entanglement dynamics in a cavity
• Strong coupling of two quantum emitters to a single light mode: the dissipative Tavis-Cummings ladder
• Asymptotic entanglement sudden death in two atoms with dipole-dipole and Ising interactions coupled to a radiation field at non-zero detuning
• Decoherence at constant excitation