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We investigate the steady state properties arising from the open system dynamics described by a memoryless (Markovian) quantum collision model, corresponding to a master equation in the ultra-strong coupling regime. By carefully assessing…

Integrating out fast degrees of freedom is known to yield, to a good approximation, memory-less, i.e. Markovian, dynamics. In the presence of such a time-scale separation local detailed balance is believed to emerge and to guarantee…

Statistical Mechanics · Physics 2023-12-12 David Hartich , Aljaž Godec

An approach, called discretized environment method, is introduced to treat exactly non-Markovian effects in open quantum systems. In this approach, a complex environment described by a spectral function is mapped into a finite set of…

Quantum Physics · Physics 2015-06-22 Denis Lacroix , V. V. Sargsyan , G. G. Adamian , N. V. Antonenko

A general formulation of stochastic thermodynamics is presented for open systems exchanging energy and particles with multiple reservoirs. By introducing a partition in terms of "macrostates" (e.g. sets of "microstates"), the consequence on…

Statistical Mechanics · Physics 2015-06-03 Massimiliano Esposito

A key feature of non-equilibrium thermodynamics is the Markovian, deterministic relaxation of coarse observables such as, for example, the temperature difference between two macroscopic objects which evolves independently of almost all…

Quantum Physics · Physics 2014-04-08 Hendrik Niemeyer , Kristel Michielsen , Hans de Raedt , Jochen Gemmer

We present a local Master equation for open system dynamics in two forms: Markovian and non-Markovian. Both have a wider range of validity than the Lindblad equation investigated by Davies. For low temperatures, they do not require coupling…

Quantum Physics · Physics 2016-11-15 Evgeny Mozgunov

The quantum Markovian master equation of the reduced dynamics of a harmonic oscillator coupled to a thermal reservoir is shown to possess thermal symmetry. This symmetry is revealed by a Bogoliubov transformation that can be represented by…

Mathematical Physics · Physics 2012-07-26 B. A. Tay , T. Petrosky

Complex systems are embedded in our everyday experience. Stochastic modelling enables us to understand and predict the behaviour of such systems, cementing its utility across the quantitative sciences. Accurate models of highly…

Starting from a microscopic system-baths description, we derive the general conditions for a time-local quantum master equation (QME) to satisfy the first and second law of thermodynamics at the fluctuating level. Using counting statistics,…

Quantum Physics · Physics 2022-12-28 Ariane Soret , Vasco Cavina , Massimiliano Esposito

The exploitation and characterization of memory effects arising from the interaction between system and environment is a key prerequisite for quantum reservoir engineering beyond the standard Markovian limit. In this paper we investigate a…

Quantum Physics · Physics 2018-04-04 S. Hamedani Raja , M. Borrelli , R. Schmidt , J. P. Pekola , S. Maniscalco

Non-Markovianity and athermality are useful resources in quantum technologies, and it is therefore important to understand the relations between the two, for general quantum dynamics. We propose three measures of non-Markovianity, first…

Quantum Physics · Physics 2025-02-10 Anindita Sarkar , Debarupa Saha , Ujjwal Sen

The thermodynamic framework of repeated interactions is generalized to an arbitrary open quantum system in contact with a heat bath. Based on these findings the theory is then extended to arbitrary measurements performed on the system. This…

Quantum Physics · Physics 2019-11-04 Philipp Strasberg

Microscopic thermal machines promise to play an important role in future quantum technologies. Making such devices widely applicable will require effective strategies to channel their output into easily accessible storage systems like…

Statistical Mechanics · Physics 2024-10-02 Joshua Eglinton , Federico Carollo , Igor Lesanovsky , Kay Brandner

An exact quantum master equation formalism is constructed for the efficient evaluation of quantum non-Markovian dissipation beyond the weak system-bath interaction regime in the presence of time-dependent external field. A novel truncation…

Quantum Physics · Physics 2009-11-10 Rui-Xue Xu , Ping Cui , Xin-Qi Li , Yan Mo , YiJing Yan

The exact stochastic decomposition of non-Markovian dissipative quantum dynamics is combined with the time-dependent semiclassical initial value formalism. It is shown that even in the challenging regime of moderate friction and low…

Statistical Mechanics · Physics 2011-09-30 Werner Koch , Frank Großmann , Jürgen T. Stockburger , Joachim Ankerhold

We construct a non-Markovian canonical dynamical map that accounts for systems correlated with the environment. The physical meaning of not completely positive maps is studied to obtain a theory of non-Markovian quantum dynamics. The…

Quantum Physics · Physics 2008-05-23 Cesar A. Rodriguez-Rosario , E. C. G. Sudarshan

The precision and response of trajectory observables offer valuable insights into the behavior of nonequilibrium systems. For classical systems, trade-offs between these characteristics and thermodynamic costs, such as entropy production…

Quantum Physics · Physics 2025-03-10 Tan Van Vu

Closed quantum systems obey the Schroedinger equation whereas nonequilibrium behavior of many of systems is routinely described in terms of classical, Markovian stochastic processes. Evidently, there are fundamental differences between…

Quantum Physics · Physics 2016-02-29 Daniel Schmidtke , Jochen Gemmer

We present a succinct and intuitive derivation of a formally exact master equation for general open quantum systems, without the use of an "inverse" map which was invoked in previous works on formally exact master equations. This formalism…

Quantum Physics · Physics 2020-04-29 Li Yu , Eric J. Heller

Quantum coherence has been shown to impact the operational capabilities of quantum systems performing thermodynamic tasks in a significant way, and yet the possibility and conditions for genuine coherence-enhanced thermodynamic operation…

Quantum Physics · Physics 2025-10-08 José A. Almanza-Marrero , Gonzalo Manzano
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