Article (Scientific journals)
Response functions as quantifiers of non-Markovianity
Strasberg, Philipp; Esposito, Massimiliano
2018In Physical Review Letters
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Abstract :
[en] Quantum non-Markovianity is crucially related to the study of dynamical maps, which are usually derived for initially factorized system-bath states. We here demonstrate that linear response theory also provides a way to derive dynamical maps, but for initially correlated (and in general entangled) states. Importantly, these maps are always time-translational invariant and allow for a much simpler quantification of non-Markovianity compared to previous approaches. We apply our theory to the Caldeira-Leggett model, for which our quantifier is valid beyond linear response and can be expressed analytically. We find that a classical Brownian particle coupled to an Ohmic bath can already exhibit non-Markovian behaviour, a phenomenon related to the initial state preparation procedure. Furthermore, for a peaked spectral density we demonstrate that there is no monotonic relation between our quantifier and the system-bath coupling strength, the sharpness of the peak or the resonance frequency in the bath.
Disciplines :
Physics
Author, co-author :
Strasberg, Philipp  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Esposito, Massimiliano   ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
 These authors have contributed equally to this work.
External co-authors :
no
Language :
English
Title :
Response functions as quantifiers of non-Markovianity
Publication date :
26 July 2018
Journal title :
Physical Review Letters
ISSN :
1079-7114
Publisher :
American Physical Society, New York, United States - New York
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
Available on ORBilu :
since 14 December 2018

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