A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Quantifying non-Markovianity of continuous-variable Gaussian dynamical maps
Tekijät: Vasile R, Maniscalco S, Paris MGA, Breuer HP, Piilo J
Kustantaja: AMER PHYSICAL SOC
Julkaisuvuosi: 2011
Journal: Physical Review A
Tietokannassa oleva lehden nimi: PHYSICAL REVIEW A
Lehden akronyymi: PHYS REV A
Artikkelin numero: ARTN 052118
Numero sarjassa: 5
Vuosikerta: 84
Numero: 5
Sivujen määrä: 9
ISSN: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.84.052118
Rinnakkaistallenteen osoite: https://arxiv.org/abs/1109.0242
Tiivistelmä
We introduce a non-Markovianity measure for continuous-variable open quantum systems based on the idea put forward in H.-P. Breuer et al. [Phys. Rev. Lett. 103, 210401 (2009);], that is, by quantifying the flow of information from the environment back to the open system. Instead of the trace distance we use here the fidelity to assess distinguishability of quantum states. We employ our measure to evaluate non-Markovianity of two paradigmatic Gaussian channels: the purely damping channel and the quantum Brownian motion channel with Ohmic environment. We consider different classes of Gaussian states and look for pairs of states maximizing the backflow of information. For coherent states we find simple analytical solutions, whereas for squeezed states we provide both exact numerical and approximate analytical solutions in the weak coupling limit.
We introduce a non-Markovianity measure for continuous-variable open quantum systems based on the idea put forward in H.-P. Breuer et al. [Phys. Rev. Lett. 103, 210401 (2009);], that is, by quantifying the flow of information from the environment back to the open system. Instead of the trace distance we use here the fidelity to assess distinguishability of quantum states. We employ our measure to evaluate non-Markovianity of two paradigmatic Gaussian channels: the purely damping channel and the quantum Brownian motion channel with Ohmic environment. We consider different classes of Gaussian states and look for pairs of states maximizing the backflow of information. For coherent states we find simple analytical solutions, whereas for squeezed states we provide both exact numerical and approximate analytical solutions in the weak coupling limit.
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