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We introduce time-dependent variational principles to study the non-unitary dynamics of open quantum many-body systems, including dynamics described by the full Lindblad master equation, the non-Hermitian dynamics corresponding to the…

Quantum Physics · Physics 2025-10-15 Pasquale Filice , Marco Schirò , Giacomo Mazza

We consider the exact reduced dynamics of a two-level system coupled to a bosonic reservoir, further obtaining the exact time-convolutionless and Nakajima-Zwanzig non-Markovian equations of motion. The considered system includes the damped…

Quantum Physics · Physics 2010-10-22 Andrea Smirne , Bassano Vacchini

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 a fully-controllable experiment platform for studying non-Markovian open quantum dynamics, we show that the non-Markovianity could be investigated from the global and local aspects. By mixing random unitary dynamics, we demonstrate…

Quantum Physics · Physics 2022-08-12 Xin-Yu Chen , Na-Na Zhang , Wan-Ting He , Xiang-Yu Kong , Ming-Jie Tao , Fu-Guo Deng , Qing Ai , Gui-Lu Long

The Markovian evolution of an open quantum system is characterized by a positive entropy production, while the global entropy gets redistributed between the system and the environment degrees of freedom. Starting from these premises, we…

We investigate measures of non-Markovianity in open quantum systems governed by Gaussian free fermionic dynamics. Standard indicators of non-Markovian behavior, such as the BLP and LFS measures, are revisited in this context. We show that…

Quantum Physics · Physics 2025-10-01 Giuliano Chiriacò

We study the dynamics of a two-level quantum system interacting with an external electromagnetic field periodic and quasiperiodic in time. The quantum evolution is described exactly by the classical equations of motion of a gyromagnet in a…

Quantum Physics · Physics 2009-11-11 Renato M. Angelo , Walter F. Wreszinski

We discuss many-body fermionic and bosonic systems subject to dissipative particle losses in arbitrary spatial dimensions $d$, within the Keldysh path-integral formulation of the quantum master equation. This open quantum dynamics…

Statistical Mechanics · Physics 2025-02-27 Federico Gerbino , Igor Lesanovsky , Gabriele Perfetto

We investigate the thermodynamics and transient dynamics of the (unbiased) Ohmic two-state system by exploiting the equivalence of this model to the interacting resonant level model. For the thermodynamics, we show, by using the numerical…

Strongly Correlated Electrons · Physics 2016-04-21 H. T. M. Nghiem , D. M. Kennes , C. Klöckner , V. Meden , T. A. Costi

Markovian master equations are a ubiquitous tool in the study of open quantum systems, but deriving them from first principles involves a series of compromises. On the one hand, the Redfield equation is valid for fast environments (whose…

Quantum Physics · Physics 2020-02-12 Evgeny Mozgunov , Daniel Lidar

Exchange of information between a quantum system and its surrounding environment plays a fundamental role in the study of the dynamics of open quantum systems. Here we discuss the role of the information exchange in the non-Markovian…

Characterizing nonequilibrium dynamics in quantum many-body systems is a challenging frontier of physics. In this Letter, we systematically construct solvable nonintegrable quantum circuits that exhibit exact hidden Markovian subsystem…

Quantum Physics · Physics 2024-11-22 He-Ran Wang , Xiao-Yang Yang , Zhong Wang

We build an exact framework to evaluate heat, energy, and particle transport between Gaussian reservoirs mediated by a quadratic quantum system. By combining full counting statistics with newly developed non-Markovian master equation…

Quantum Physics · Physics 2026-02-25 Guglielmo Pellitteri , Vittorio Giovannetti , Vasco Cavina

The reduced dynamics of two interacting qubits coupled to two independent bosonic baths is investigated. The one-excitation dynamics is derived and compared with that based on the resolution of appropriate non-Markovian master equations.…

Quantum Physics · Physics 2018-09-05 E. Ferraro , M. Scala , R. Migliore , A. Napoli

Solving the time-dependent quantum many-body Schr\"odinger equation is a challenging task, especially for states at a finite temperature, where the environment affects the dynamics. Most existing approximating methods are designed to…

Quantum Physics · Physics 2024-05-24 Jannes Nys , Zakari Denis , Giuseppe Carleo

We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We…

Quantum Physics · Physics 2019-03-21 Jose Teittinen , Henri Lyyra , Boris Sokolov , Sabrina Maniscalco

This paper investigates the relationship between subsystems and time in a closed nonrelativistic system of interacting bosons and fermions. It is possible to write any state vector in such a system as an unentangled tensor product of…

Quantum Physics · Physics 2016-09-20 Bradley A. Foreman

Irreversibility and acausality of a sub-system are established in exactly soluble harmonic models with reversible and causal dynamics. It is shown that initial conditions, imposed on some dynamical degrees of freedom may break time reversal…

High Energy Physics - Theory · Physics 2015-05-30 Janos Polonyi

A wave function exposed to measurements undergoes pure state dynamics, with deterministic unitary and probabilistic measurement induced state updates, defining a quantum trajectory. For many-particle systems, the competition of these…

Statistical Mechanics · Physics 2021-11-02 M. Buchhold , Y. Minoguchi , A. Altland , S. Diehl

We present a general theory of non-Markovian dynamics for open quantum systems. We explore the non-Markovian dynamics by connecting the exact master equations with the non-equilibirum Green functions. Environmental back-actions are fully…

Quantum Physics · Physics 2013-05-30 Wei-Min Zhang , Ping-Yuan Lo , Heng-Na Xiong , Matisse Wei-Yuan Tu , Franco Nori