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It is assumed that in a measurement the system under study interacts with a macroscopic measuring apparatus, in such a way that the density matrix of the measured system evolves according to the Lindblad equation. Under an assumption of…

Quantum Physics · Physics 2016-04-20 Steven Weinberg

The measuring process is an external intervention in the dynamics of a quantum system. It involves a unitary interaction of that system with a measuring apparatus, a further interaction of both with an unknown environment causing…

Quantum Physics · Physics 2009-10-31 Asher Peres

We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying two non-unitary transformations, we reformulate the…

We study finite-dimensional open quantum systems whose density matrix evolves via a Lindbladian, $\dot{\rho}=-i[H,\rho]+{\mathcal D}\rho$. Here $H$ is the Hamiltonian of the isolated system and ${\mathcal D}$ is the dissipator. We consider…

Quantum Physics · Physics 2025-05-15 Eric A. Carlen , David a. Huse , Joel L. Lebowitz

We introduce families of one-dimensional Lindblad equations describing open many-particle quantum systems that are exactly solvable in the following sense: $(i)$ the space of operators splits into exponentially many (in system size)…

Statistical Mechanics · Physics 2020-12-15 Fabian H. L. Essler , Lorenzo Piroli

We present a robust method for quantum process tomography, which yields a set of Lindblad operators that optimally fit the measured density operators at a sequence of time points. The benefits of this method are illustrated using a set of…

Quantum Physics · Physics 2009-11-07 N. Boulant , T. F. Havel , M. A. Pravia , D. G. Cory

Time-evolution of open, dissipative quantum system is a stochastic process that consists of a series of quantum jumps that take place at random times. Between quantum jumps quantum system idles for some time in a particular quantum state.…

Statistical Mechanics · Physics 2016-05-10 D. S. Kosov

Quantum and classical systems can consistently be coupled via non-unitary time-irreversible mechanisms. In this paper we characterize which kind of corresponding dynamics converge in the stationary regime to a thermal hybrid state, that is,…

Quantum Physics · Physics 2026-04-06 Adrián A. Budini

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 stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the…

Statistical Mechanics · Physics 2014-06-03 Phil Attard

In this paper, we introduce a novel and general framework for the variational quantum simulation of Lindblad equations. Building on the close relationship between the unraveled Lindblad dynamics, stochastic Magnus integrators, and…

Quantum Physics · Physics 2025-09-22 Jia-Cheng Huang , Hao-En Li , Yi-Cheng Wang , Guang-Ze Zhang , Jun Li , Han-Shi Hu

Quantum systems are invariably open, evolving under surrounding influences rather than in isolation. Standard open quantum system methods eliminate all information on the environmental state to yield a tractable description of the system…

Quantum Physics · Physics 2014-09-26 Jake Iles-Smith , Neill Lambert , Ahsan Nazir

The time evolution of Markovian open quantum systems is governed by Lindblad master equations, whose solution can be formally written as the Lindbladian exponential acting on the initial density matrix. By expanding this Lindbladian…

Quantum Physics · Physics 2025-10-03 Jiayin Gu , Fan Zhang

We identify the conditions that guarantee equivalence of the reduced dynamics of an open quantum system (OQS) for two different types of environments - one a continuous bosonic environment leading to a unitary system-environment evolution…

Quantum Physics · Physics 2018-01-24 Dario Tamascelli , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

Fast and reliable manipulation with qubits is fundamental for any quantum technology. The implementation of these manipulations in physical systems is the focus of studies involving optimal control theory. Realistic physical devices are…

Quantum Physics · Physics 2025-03-28 Haoran Sun , Michael Galperin

In the case of quantum systems interacting with multiple environments, the time-evolution of the reduced density matrix is described by the Liouvillian. For a variety of physical observables, the long-time limit or steady state solution is…

Quantum Physics · Physics 2022-01-05 Rodrigo A. Vargas-Hernández , Ricky T. Q. Chen , Kenneth A. Jung , Paul Brumer

Dissipative quantum algorithms for state preparation in many-body systems are increasingly recognised as promising candidates for achieving large quantum advantages in application-relevant tasks. Recent advances in algorithmic,…

Quantum Physics · Physics 2026-04-21 Štěpán Šmíd , Richard Meister , Mario Berta , Roberto Bondesan

Quantum statistics dictate how particles exchange and correlate-but in two-dimensional systems, these rules extend beyond bosons and fermions to anyons, quasiparticles with continuously tunable exchange phases. Here, we develop a Lindblad…

Quantum Physics · Physics 2025-08-15 Eric R. Bittner , Bhavay Tyagi

In a number of physically relevant contexts, a quantum system interacting with a decohering environment is simultaneously subjected to time-dependent controls and its dynamics is thus described by a time-dependent Lindblad master equation.…

Quantum Physics · Physics 2026-02-19 Lasse H. Wolff , Daniel Malz , Rahul Trivedi

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