A qualitative perspective on the dynamics of a single-Cooper-pair box with a phase-damped cavity

Mahmoud Abdel‐Aty · Journal of Physics A Mathematical and Theoretical · 2008

In a recent paper Dajka et al (2007 J. Phys. A: Math. Theor. 40 F879) predicted that some composite systems can be entangled forever even if coupled with a thermal bath. We analyze the transient entanglement of a single-Cooper-pair box biased by a classical voltage and irradiated by a quantized field and find the unusual feature that the phase-damped cavity can lead to a long-lived entanglement. The results show an asymptotic value of the idempotency defect (concurrence) which embodies coherence loss (entanglement survival), independent of the interaction development but critically dependent on the environment.

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