Quantum Limit for Driven Linear Non-Markovian Open-Quantum-Systems

TL;DR

This paper derives an exact quantum limit for driven non-Markovian open quantum systems, showing that non-Markovian effects enable longer entanglement survival at higher temperatures and stronger couplings compared to Markovian dynamics.

Contribution

It generalizes the quantum limit for entanglement survival to non-Markovian regimes using exact analytical results for coupled oscillators.

Findings

Non-Markovian dynamics extend entanglement lifetime at higher temperatures.

Stronger bath coupling still allows entanglement preservation.

Asymmetries in oscillators and bath parameters influence entanglement survival.

Abstract

The interplay between non-Markovian dynamics and driving fields in the survival of entanglement between two non-degenerate oscillators is considered here. Based on exact analytical results for the non-Markovian dynamics of two parametrically coupled non-degenerate oscillators in contact to non-identical independent thermal baths, the out-of-equilibrium quantum limit derived in [Phys. Rev. Lett. 105, 180501 (2010)] is generalized to the non-Markovian regime. Specifically, it is shown that non-Markovian dynamics, when compared to the Markovian case, allow for the survival of stationary entanglement at higher temperatures, with larger coupling strength to the baths and at smaller driving rates. The effect of the asymmetry of the (i) coupled oscillators, (ii) coupling strength to the baths at equal temperature and (iii) temperature at equal coupling strength is discussed.