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Quantum limit for driven linear non-Markovian open-quantum-systems

2014/11/30 by Andres F. Estrada, Andres Estrada, Leonardo A. Pachón +1 · 32 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Asymmetry #Condensed matter physics #Coupling (piping) #Coupling strength #Degenerate energy levels #Limit (mathematics) #Markov process #Mathematical analysis #Physics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #quant-ph

paper · pdf · doi:10.1088/1367-2630/17/3/033038

published in New Journal of Physics 17(3), 033038 (IOP Publishing) · 28 pages, 7 figures

openalex publication_date 2015/03/27 · arxiv created 2015/04/08 · arxiv updated 2015/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 with non-identical independent thermal baths, the out-of-equilibrium quantum limit derived in [ Phys. Rev. Lett. 105 180501 (2010)] is generalised 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. In particular, it is shown that the non-Markovian character of the dynamics is capable of beating the resonant condition that states that the driving frequency equals the sum of the natural frequencies for the maximum rate of squeezing generation; hence, squeezing generation is more robust under non-Markovian dynamics.

Citations