Entanglement invariant for the double Jaynes-Cummings model

Abstract

We study entanglement dynamics between four qubits interacting through two isolated Jaynes-Cummings hamiltonians, via the entanglement measure based on the wedge product. We compare the results with similar results obtained using bipartite concurrence resulting in what is referred to as "entanglement sudden death". We find a natural entanglement invariant under evolution demonstrating that entanglement sudden death is caused by ignoring (tracing over) some of the system's degrees of freedom that become entangled through the interaction.

Sec. V has largely been rewritten. An error pertaining to the entanglement invariant has been corrected and a correct invariant valid for a much larger set of states have been found, Eq. (25)

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Cited by in corpus (9)

• Sudden Death of Entanglement
• Delayed (sudden) birth of entanglement
• Tri-partite Entanglement Witnesses and Sudden Death
• Entanglement evolution of two remote and non-identical Jaynes-Cummings atoms
• Off-resonant entanglement generation in a lossy cavity
• Sudden death of distillability in qutrit-qutrit systems
• Entanglement dynamics for the double Tavis-Cummings model
• Quantum recoil effects in finite-time disentanglement of two distinguishable atoms
• Dynamics of Bloch vector in thermal Jaynes-Cummings model