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Stochastic evolution underpins several approaches to the dynamics of open quantum systems, such as random modulation of Hamiltonian parameters, the stochastic Schrodinger equation (SSE), and the stochastic Liouville equation (SLE). These…

Quantum Physics · Physics 2026-01-22 Pietro De Checchi , Federico Gallina , Barbara Fresch , Giulio G. Giusteri

Quantum Markov models are employed ubiquitously in quantum physics and in quantum information theory due to their relative simplicity and analytical tractability. In particular, these models are known to give accurate approximations for a…

Quantum Physics · Physics 2024-02-02 Hendra I. Nurdin

We investigate the generalization of the spin-boson model to arbitrary spin size. The Born-Markov approximation is employed to derive a master equation in the regime of small coupling strengths to the environment. For spin one half, the…

Quantum Physics · Physics 2009-11-10 T. Vorrath , T. Brandes , B. Kramer

We study how non-Markovianity of an open two-level system can be detected when continuously monitoring a part of its bosonic environment. Considering a physical scenario of an atom in a lossy cavity, we demonstrate that the properties of…

Quantum Physics · Physics 2015-10-12 Kimmo Luoma , Pinja Haikka , Jyrki Piilo

We characterize the dynamical behavior of continuous-time, Markovian quantum systems with respect to a subsystem of interest. Markovian dynamics describes a wide class of open quantum systems of relevance to quantum information processing,…

Quantum Physics · Physics 2010-12-08 Francesco Ticozzi , Lorenza Viola

We study the real-time simulation of open quantum systems, where the system is modeled by a spin chain, with each spin associated with its own harmonic bath. Our method couples the inchworm method for the spin-boson model and the modular…

Quantum Physics · Physics 2023-12-05 Geshuo Wang , Zhenning Cai

In this paper, we study both open-loop control and closed-loop measurement feedback control of non-Markovian quantum dynamics arising from the interaction between a quantum system and its environment. We use the widely studied cavity…

Quantum Physics · Physics 2026-04-14 Haijin Ding , Nina H. Amini , John E. Gough , Guofeng Zhang

We introduce a new framework to study the dynamics of open quantum systems with linearly coupled Gaussian baths. Our approach replaces the continuous bath with an auxiliary discrete set of pseudomodes with dissipative dynamics, but we…

Quantum Physics · Physics 2024-11-26 Gunhee Park , Zhen Huang , Yuanran Zhu , Chao Yang , Garnet Kin-Lic Chan , Lin Lin

The quantum dynamics of a subset of interacting bosons in a subspace of fixed particle number is described in terms of symmetrized many-particle states. A suitable partial trace operation over the von Neumann equation of an $N$-particle…

Quantum Physics · Physics 2018-02-21 Manuel Gessner , Andreas Buchleitner

We critically evaluate the most widespread assumption in the theoretical description of coherent control strategies for open quantum systems. We show that, for non-Markovian open systems dynamics, this fixed-dissipator assumption leads to a…

Quantum Physics · Physics 2016-12-06 Carole Addis , Elsi-Mari Laine , Clemens Gneiting , Sabrina Maniscalco

We investigate the dynamics of the spin-boson model when the spectral density of the boson bath shows a resonance at a characteristic frequency $\Omega$ but behaves Ohmically at small frequencies. The time evolution of an initial state is…

Condensed Matter · Physics 2009-11-10 M. Thorwart , E. Paladino , M. Grifoni

Chain-mapping techniques combined with the time-dependent density matrix renormalization group are powerful tools for simulating the dynamics of open quantum systems interacting with structured bosonic environments. Most interestingly, they…

Quantum Physics · Physics 2023-12-07 A. Riva , D. Tamascelli , A. J. Dunnett , A. W. Chin

We discuss three different aspects of the quantum dynamics of bio-molecular systems and more generally complex networks in the presence of strongly coupled environments. Firstly, we make a case for the systematic study of fundamental…

Quantum Physics · Physics 2012-02-07 M. B. Plenio , S. F. Huelga

A model multilevel molecule described by two sets of rotational internal energy levels of different parity and degenerate ground states, coupled by a constant interaction, is considered, by assuming that the random collisions in a gas of…

Quantum Physics · Physics 2013-05-31 Filippo Giraldi , Francesco Petruccione

This work addresses quantum adiabatic decoherence of many-body spin systems coupled with a boson field in the framework of open quantum systems theory. We generalize the traditional spin-boson model by considering a system-environment…

Quantum Physics · Physics 2021-11-04 H. H. Segnorile , C. E. González , R. C. Zamar

We develop a versatile master equation approach to describe the non-equilibrium dynamics of a two-level system in contact with a bosonic environment, which allows for the exploration of a wide range of parameter regimes within a single…

Mesoscale and Nanoscale Physics · Physics 2011-09-20 Dara P. S. McCutcheon , Nikesh S. Dattani , Erik M. Gauger , Brendon W. Lovett , Ahsan Nazir

We present a perturbation theory for non-Markovian quantum state diffusion (QSD), the theory of diffusive quantum trajectories for open systems in a bosonic environment [Physical Review {\bf A 58}, 1699, (1998)]. We establish a systematic…

Quantum Physics · Physics 2016-08-15 Ting Yu , Lajos Diósi , Nicolas Gisin , Walter T. Strunz

Understanding how external driving and dissipation jointly influence the dynamics of open quantum systems is essential for advancing the study of non-equilibrium quantum phenomena and developing quantum technologies. The present study…

Quantum Physics · Physics 2025-05-14 Roie Dann

Magnetic systems can be described by the classical Landau-Lifshitz (LL) equation or the fully quantum open Heisenberg model. Using the Lindblad master equation and the mean-field approximation, we demonstrate that the open Heisenberg model…

Quantum Physics · Physics 2020-10-28 Ariel Norambuena , Andrés Franco , Raúl Coto

Dissipative phase transitions in quantum systems have been largely studied under the so-called Markovian approximation, where the environments to which the systems are coupled are memoryless. Here, we present a generalization of the…

Quantum Physics · Physics 2024-10-28 Baptiste Debecker , John Martin , François Damanet