Entanglement trapping in a non-stationary structured reservoir

Abstract

We study a single two-level atom interacting with a reservoir of modes defined by a reservoir structure function with a frequency gap. Using the pseudomodes technique, we derive the main features of a trapping state formed in the weak coupling regime. Utilising different entanglement measures we show that strong correlations and entanglement between the atom and the modes are in existence when this state is formed. Furthermore, an unexpected feature for the reservoir is revealed. In the long time limit and for weak coupling the reservoir spectrum is not constant in time.

10 pages, 16 figures

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• Exact description of non-Markovian effect in open quantum system: the discretized environment method
• Improving the precision of frequency estimation via long-time coherences
• Long-lived quantum coherence of two-level spontaneous emission models within structured environments
• Universal Dissipationless Dynamics in Gaussian Continuous-variable Open Systems
• Bound state and Localization of excitation in many-body open systems
• Damped oscillations of the energy of a bosonic bath due to spectral gaps and special initial correlations
• Bound states and decay dynamics in $N$-level Friedrichs model with factorizable interactions