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We develop a new method for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment. We find several new models with interesting features, such as…

Statistical Mechanics · Physics 2021-06-23 Marius de Leeuw , Chiara Paletta , Balázs Pozsgay

Stochastic methods with quantum jumps are often used to solve open quantum system dynamics. Moreover, they provide insight into fundamental topics, as the role of measurements in quantum mechanics and the description of non-Markovian memory…

Quantum Physics · Physics 2020-05-18 Andrea Smirne , Matteo Caiaffa , Jyrki Piilo

Physical quantum systems are generically coupled to an environment, resulting in open system dynamics. A typical approach to simulating this dynamics is to propagate the density matrix of the system via the Lindblad master equation. This…

Quantum Physics · Physics 2026-03-05 Marcus Meschede , Ludwig Mathey

Recently the general form of a translation-covariant quantum Boltzmann equation has been derived which describes the dynamics of a tracer particle in a quantum gas. We develop a stochastic wave function algorithm that enables full…

Quantum Physics · Physics 2007-09-24 Heinz-Peter Breuer , Bassano Vacchini

We study a qDRIFT-type randomized method to simulate Lindblad dynamics by decomposing its generator into an ensemble of Lindbladians, $\mathcal{L} = \sum_{a \in \mathcal{A}} \mathcal{L}_a$, where each $\mathcal{L}_a$ comprises a simple…

Quantum Physics · Physics 2025-11-26 Hongrui Chen , Bowen Li , Jianfeng Lu , Lexing Ying

Driven-dissipative qubit-resonator dynamics, which are the basis of most dispersive superconducting qubit measurement schemes, are often modeled with Lindblad master equations built from subsystem local jump operators, even when the qubit…

Quantum Physics · Physics 2026-05-29 Prakritish Gogoi , Angela Riva , Émile Cochin , Alex Chin

We introduce jumptime unraveling as a distinct description of open quantum systems. As our starting point, we consider quantum jump trajectories, which emerge, physically, from continuous quantum measurements, or, formally, from the…

Quantum Physics · Physics 2022-01-11 Clemens Gneiting , Alexander V. Rozhkov , Franco Nori

Non-Hermitian systems and the Lindblad form master equation have always been regarded as reliable tools in dissipative modeling. Intriguingly, existing literature often obtains an equivalent non-Hermitian Hamiltonian by neglecting the…

Quantum Physics · Physics 2024-03-27 Xiangyu Niu , Junjie Wang

An important class of approaches to the description of electronic transport through molecules and quantum dots is based on the master equation. We discuss various formalisms for deriving a master equation and their interrelations. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Carsten Timm

We propose a piecewise deterministic Markovian jump process in Hilbert space such that the covariance matrix of this stochastic process solves the thermodynamic quantum master equation. The proposed stochastic process is particularly simple…

Quantum Physics · Physics 2018-03-09 Hans Christian Öttinger

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

Quantum Physics · Physics 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

Stochastic Schr{\"o}dinger equations for quantum trajectories offer an alternative and sometimes superior approach to the study of open quantum system dynamics. Here we show that recently established convolutionless non-Markovian stochastic…

Quantum Physics · Physics 2009-11-10 Walter T. Strunz , Ting Yu

We study the dynamics of entanglement in the quantum Ising chain with dephasing dissipation in a Lindblad master equation form. We consider two unravelings which preserve the Gaussian form of the state, allowing to address large system…

Quantum Physics · Physics 2022-12-15 Giulia Piccitto , Angelo Russomanno , Davide Rossini

Bootstrap methods, initially developed for solving statistical and quantum field theories, have recently been shown to capture the discrete spectrum of quantum mechanical problems, such as the single particle Schr\"odinger equation with an…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Serguei Tchoumakov , Serge Florens

An experimentally realizable model based on the interaction between an excited two-level atom and a radiation field inside two quantum electrodynamics cavities is proposed. It consists of sending an excited two-level atom through two serial…

Quantum Physics · Physics 2020-09-15 Khadija El Anouz , Abderrahim El Allati , Farhan Saif

We investigate the scaling of the fermionic logarithmic negativity (FLN) between complementary intervals in the steady state of a driven-dissipative tight-binding critical chain, coupled to two thermal reservoirs at its edges. We compare…

Quantum Physics · Physics 2024-09-11 Antonio D'Abbruzzo , Davide Rossini , Vittorio Giovannetti , Vincenzo Alba

We derive the quantum trajectory or stochastic (conditional) master equation for a single superconducting Cooper-pair box (SCB) charge qubit measured by a single-electron transistor (SET) detector. This stochastic master equation describes…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hsi-Sheng Goan

A systematic first-order correction to the standard Markov master equation for open quantum systems interacting with a bosonic bath is presented. It extends the Markov Lindblad master equation to the more general case of non-Markovian…

Quantum Physics · Physics 2009-10-31 Ting Yu , Lajos Diosi , Nicolas Gisin , Walter T. Strunz

This paper deals a continuous-time state-dependent jump linear system, a particular kind of stochastic switching system. In particular, we consider a situation when the transition rate of the random jump process depends on the state…

Systems and Control · Computer Science 2016-11-26 Shaikshavali Chitraganti , Samir Aberkane , Christophe Aubrun

We derive a modified Lindblad equation for the state of quantum dot tunnel coupled to a Markovian lead when the spin state of the dot is driven by an oscillating magnetic field. We show that the equation is a completely positive,…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Emily Townsend , Joshua Pomeroy , Garnett W. Bryant
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