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We consider a problem of description of quantum correlations and dispersions of subsystems of complex open systems. Based on our previous results we proposed a method to evaluate pure quantum contributions from total statistical…

Quantum Physics · Physics 2016-01-26 Illarion Dorofeyev

Developments in the thermodynamics of small quantum systems envisage non-classical thermal machines. In this scenario, energy fluctuations play a relevant role in the description of irreversibility. We experimentally implement a quantum…

In this review paper, we discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus applying a sequence of repeated quantum…

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

We study the statistics of thermal energy transfer in the nonequilibrium (two-bath) spin-boson model. This quantum many-body impurity system serves as a canonical model for quantum energy transport. Our method makes use of the Majorana…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Bijay Kumar Agarwalla , Dvira Segal

The dynamics of spin-boson systems at very low temperatures has been studied using a real-time path-integral simulation technique which combines a stochastic Monte Carlo sampling over the quantum fluctuations with an exact treatment of the…

chem-ph · Physics 2009-10-22 Reinhold Egger , C. H. Mak

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

When a quantum system couples strongly to multiple baths then it is generally no longer possible to describe the resulting system dynamics by simply adding the individual effects of each bath. However, capturing such multi-bath system…

The heat flow between a quantum system and its reservoir is analyzed when initially both are in a separable thermal state and asymptotically approach a correlated equilibrium. General findings are illustrated for specific systems and…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Joachim Ankerhold , Jukka P. Pekola

The non-Markovianity of an arbitrary open quantum system is analyzed in reference to the multi-time statistics given by its monitoring at discrete times. On the one hand, we exploit the hierarchy of inhomogeneous transfer tensors, which…

Quantum Physics · Physics 2022-01-26 Stefano Gherardini , Andrea Smirne , Susana F. Huelga , Filippo Caruso

Measurement-based quantum computation utilizes an initial entangled resource state and proceeds with subsequent single-qubit measurements. It is implicitly assumed that the interactions between qubits can be switched off so that the…

Quantum Physics · Physics 2011-08-08 Ying Li , Daniel E. Browne , Leong Chuan Kwek , Robert Raussendorf , Tzu-Chieh Wei

We investigate the nature of memory effects in the non-Markovian dynamics of spin boson models. Local quantum memory criteria can be used to indicate that the reduced dynamics of an open system necessarily requires a quantum memory in its…

Quantum Physics · Physics 2026-05-06 Charlotte Bäcker , Valentin Link , Walter T. Strunz

We present a theoretical investigation of thermal fluctuation statistics in a molecular motor. Energy transfer in the motor is described using a multidimensional discrete master equation with nearest-neighbor hopping. In this theory, energy…

Statistical Mechanics · Physics 2014-01-07 K. J. Challis , M. W. Jack

Quantum open systems evolve according to completely positive, trace preserving maps acting on the density operator, which can equivalently be unraveled in term of so-called quantum trajectories. These stochastic sequences of pure states…

Quantum Physics · Physics 2019-05-01 Cyril Elouard , Hamed Mohammady

How quantum coherence influences thermodynamic behavior remains an open question in quantum thermodynamics. Here we investigate this relation within the pure dephasing framework, where a central qubit interacts with a finite Ising-like spin…

Quantum Physics · Physics 2026-03-31 Marino P. Lenzarini , Diogo O. Soares-Pinto

The process tensor framework to open quantum systems provides the most general description of multi-time correlations in non-Markovian quantum dynamics. A compressed representation of a process tensor in terms of matrix product operators…

A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed, on the basis of the calculus-on-path-integral algorithm, together with the parametrization of…

Statistical Mechanics · Physics 2009-11-11 Jinshuang Jin , Sven Welack , JunYan Luo , Xin-Qi Li , Ping Cui , Rui-Xue Xu , YiJing Yan

There exist two formulations for quantum heat engine that models an energy transfer between two microscopic systems. One is semi-classical scenario, and the other is full quantum scenario. The former is formulated as a unitary evolution for…

Quantum Physics · Physics 2017-04-05 Masahito Hayashi , Hiroyasu Tajima

We study the performance of a quantum Otto cycle using a harmonic work medium and undergoing collisional dynamics with finite-size reservoirs. We span the dynamical regimes of the work strokes from strongly non-adiabatic to quasi-static…

Quantum Physics · Physics 2019-02-19 Marco Pezzutto , Mauro Paternostro , Yasser Omar

Continuously measured quantum systems are characterized by an output current, in the form of a stochastic and correlated time series which conveys crucial information about the underlying quantum system. The many tools used to describe…

Quantum Physics · Physics 2025-12-19 Gabriel T. Landi , Michael J. Kewming , Mark T. Mitchison , Patrick P. Potts