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We analyze non-Markovian evolution of open quantum systems. It is shown that any dynamical map representing evolution of such a system may be described either by non-local master equation with memory kernel or equivalently by equation which…

Quantum Physics · Physics 2013-05-29 Dariusz Chruscinski , Andrzej Kossakowski

We aim to bridge the gap between quantum coherence, quantum correlations, and nonequilibrium quantum transport in a quantum double-dot (QDD) system interacting with fermionic reservoirs. The system-reservoir coupling is modeled using a…

Quantum Physics · Physics 2025-02-18 Saikumar Krithivasan , Thingujam Yaiphalemba Meitei , Arijit Sen , Md Manirul Ali

Capacities of quantum channels and decoherence times both quantify the extent to which quantum information can withstand degradation by interactions with its environment. However, calculating capacities directly is known to be intractable…

Quantum Physics · Physics 2021-06-07 Ivan Bardet , Marius Junge , Nicholas LaRacuente , Cambyse Rouzé , Daniel Stilck França

Numerical methods for obtaining exact dynamics of non-Markovian open quantum systems are mostly limited to either small systems or to short-time evolution only. Here, we propose a new algorithm for computing process tensors--matrix product…

Quantum Physics · Physics 2026-03-10 Émile Cochin , Jonathan Keeling , Brendon W. Lovett , Alex W. Chin

We construct a large class of completely positive and trace preserving non-Markovian dynamical maps for an open quantum system. These maps arise from a piecewise dynamics characterized by a continuous time evolution interrupted by jumps,…

Quantum Physics · Physics 2014-04-03 Bassano Vacchini

A quantum kinetic theory of the spin transfer between carriers and Mn atoms in a Mn doped diluted magnetic semiconductor is presented. It turns out that the typical memory time associated with these processes is orders of magnitude shorter…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Christoph Thurn , Moritz Cygorek , Vollrath Martin Axt , Tilmann Kuhn

The master equation describing the non-equilibrium dynamics of a quantum dot coupled to metallic leads is considered. Employing a superoperator approach, we derive an exact time-convolutionless master equation for the probabilities of dot…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Carsten Timm

The dynamics of a non-Markovian open quantum system described by a general time-local master equation is studied. The propagation of the density operator is constructed in terms of two processes: (i) deterministic evolution and (ii)…

Quantum Physics · Physics 2010-01-21 Kari Harkonen

Nanodevices exploiting quantum effects are critically important elements of future quantum technologies (QT), but their real-world performance is strongly limited by decoherence arising from local `environmental' interactions. Compounding…

Biological Physics · Physics 2024-04-10 Thibaut Lacroix , Brendon W. Lovett , Alex W. Chin

Characterizing the memory properties of the environment has become critical for the high-fidelity control of qubits and other advanced quantum systems. However, current non-Markovian tomography techniques are either limited to discrete…

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

Quantum Physics · Physics 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

In quasiballistic semiconductor nanostructures, carrier exchange between the active region and dissipative contacts is the mechanism that governs relaxation. In this paper, we present a theoretical treatment of transient quantum transport…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 B. Novakovic , I. Knezevic

The study of open quantum systems is important for fundamental issues of quantum physics as well as for technological applications such as quantum information processing. The interaction of a quantum system with it's environment is usually…

Quantum Physics · Physics 2016-02-02 Jun Sun , Yong-Nan Sun , Chuan-Feng Li , Guang-Can Guo , Kimmo Luoma , Jyrki Piilo

The interaction between a quantum system and its environment limits our ability to control it and perform quantum operations on it. We present an efficient method to find optimal controls for quantum systems coupled to non-Markovian…

The time-convolutionless quantum master equation is an exact description of the nonequilibrium dynamics of open quantum systems, with the advantage of being local in time. We derive a perturbative expansion to arbitrary order in the…

Mesoscale and Nanoscale Physics · Physics 2019-03-14 Konstantin Nestmann , Carsten Timm

We present a numerical method to compute non-equilibrium memory kernels based on experimental data or molecular dynamics simulations. The procedure uses a recasting of the non-stationary generalized Langevin equation, in which we expand the…

Statistical Mechanics · Physics 2019-05-29 Hugues Meyer , Philipp Pelagejcev , Tanja Schilling

The weak-coupled two-level open quantum system described by non-Markovian Time-convolution-less master equation is investigated in this paper. The cut-off frequency, coupling constant and transition frequency, which impact on the system's…

Quantum Physics · Physics 2014-01-08 Shuang Cong , Longzhen Hu , Fei Yang , Jianxiu Liu

We present a formalism that explicitly unifies the commonly used Nakajima-Zwanzig approach for reduced density matrix dynamics with the more versatile Mori theory in the context of nonequilibrium dynamics. Employing a Dyson-type expansion…

Chemical Physics · Physics 2016-05-25 Andrés Montoya-Castillo , David. R. Reichman

Transfer entropy is capable of capturing nonlinear source-destination relations between multi-variate time series. It is a measure of association between source data that are transformed into destination data via a set of linear…

Information Theory · Computer Science 2019-05-28 David Sigtermans

Quantum memory effects can be related to a bidirectional exchange of information between an open system and its environment, which in turn modifies the state and dynamical behavior of the last one. Nevertheless, non-Markovianity can also be…

Quantum Physics · Physics 2021-01-26 Adrián A. Budini
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