Academic Journal
Initial correlations in open quantum systems: constructing linear dynamical maps and master equations
العنوان: | Initial correlations in open quantum systems: constructing linear dynamical maps and master equations |
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المؤلفون: | Alessandra Colla, Niklas Neubrand, Heinz-Peter Breuer |
المصدر: | New Journal of Physics, Vol 24, Iss 12, p 123005 (2022) |
بيانات النشر: | IOP Publishing |
سنة النشر: | 2022 |
المجموعة: | Directory of Open Access Journals: DOAJ Articles |
مصطلحات موضوعية: | open quantum systems, system–environment correlations, dynamical maps and master equations, time-local master equation, non-Markovian quantum dynamics, Science, Physics, QC1-999 |
الوصف: | We investigate the dynamics of open quantum systems which are initially correlated with their environment. The strategy of our approach is to analyze how given, fixed initial correlations modify the evolution of the open system with respect to the corresponding uncorrelated dynamical behavior with the same fixed initial environmental state, described by a completely positive dynamical map. We show that, for any predetermined initial correlations, one can introduce a linear dynamical map on the space of operators of the open system which acts like the proper dynamical map on the set of physical states and represents its unique linear extension. Furthermore, we demonstrate that this construction leads to a linear, time-local quantum master equation with generalized Lindblad structure involving time-dependent, possibly negative transition rates. Thus, the general non-Markovian dynamics of an open quantum system can be described by means of a time-local master equation even in the case of arbitrary, fixed initial system–environment correlations. We present some illustrative examples and explain the relation of our approach to several other approaches proposed in the literature. |
نوع الوثيقة: | article in journal/newspaper |
اللغة: | English |
تدمد: | 1367-2630 |
Relation: | https://doi.org/10.1088/1367-2630/aca709; https://doaj.org/toc/1367-2630; https://doaj.org/article/4b692824d3e3401a82667ab25b8c5df1 |
DOI: | 10.1088/1367-2630/aca709 |
الاتاحة: | https://doi.org/10.1088/1367-2630/aca709 https://doaj.org/article/4b692824d3e3401a82667ab25b8c5df1 |
رقم الانضمام: | edsbas.CC2BB130 |
قاعدة البيانات: | BASE |
تدمد: | 13672630 |
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DOI: | 10.1088/1367-2630/aca709 |