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We investigate the transport of a single excitation through a chain of weakly coupled subunits. At both ends the chain is exposed to baths which are incorporated by means of a master equation in Lindblad form. This master equation is solved…

Statistical Mechanics · Physics 2009-07-15 Robin Steinigeweg , Marcel Ogiewa , Jochen Gemmer

We present a general proof that non-Hermitian dynamics and Lindblad dynamics with only decay terms are equivalent in the highest particle subspace. We then propose an unbiased method to determine if a system's dynamics in the…

Quantum Physics · Physics 2026-03-20 Kyle Monkman , Mona Berciu

Master equations of Lindblad type have attained prominent status in the fields of quantum optics and quantum information since they are guaranteed to satisfy fundamental notions of quantum dynamics such as complete positivity. When Lindblad…

Statistical Mechanics · Physics 2019-09-04 Jürgen T. Stockburger , Thomas Motz

The Lindblad equation, as one approach to open quantum systems, describes the density matrix of a particle or a chain of interacting particles, which are in contact with a thermal bath. Still, it is not fully understood yet, how arbitrary…

Nuclear Theory · Physics 2025-03-13 Jan Rais , Hendrik van Hees , Carsten Greiner

Dephasing in quantum systems is typically the result of its interaction with environmental degrees of freedom. We investigate within a spin-boson model the influence of a super-Ohmic environment on the dynamics of a quantum two-state…

Quantum Physics · Physics 2023-07-12 Philipp Nacke , Florian Otterpohl , Michael Thorwart , Peter Nalbach

We discuss the systematic engineering of quasicrystals in open quantum systems where quasiperiodicity is introduced through purely dissipative processes. While the resulting short-time dynamics is governed by non-Hermitian variants of the…

Quantum Gases · Physics 2022-03-11 Tianyu Li , Yong-Sheng Zhang , Wei Yi

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

Chemical Physics · Physics 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

Inferring the dynamical generator of a many-body quantum system from measurement data is essential for the verification, calibration, and control of quantum processors. When the system is open, this task becomes considerably harder than in…

Ever since the formulation of quantum mechanics, there is very little understanding of the process of the collapse of a wavefunction. We have proposed a dynamical model to emulate the measurement postulates of quantum mechanics. We…

Quantum Physics · Physics 2023-08-16 Gurpahul Singh , Ritesh K. Singh , Soumitro Banerjee

In specific open systems with collective dissipation the Liouvillian can be mapped to a non-Hermitian Hamiltonian. We here consider such a system where the Liouvillian is mapped to an XXZ Richardson-Gaudin integrable model and detail its…

Quantum Physics · Physics 2022-04-05 Pieter W. Claeys , Austen Lamacraft

This paper deals with non-Markovian behaviour in atomic systems coupled to a structured reservoir of quantum EM field modes, with particular relevance to atoms interacting with the field in high Q cavities or photonic band gap materials. In…

Quantum Physics · Physics 2010-03-18 B. J. Dalton , S. M. Barnett , B. M. Garraway

We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and…

Quantum Physics · Physics 2015-06-09 R. Di Candia , J. S. Pedernales , A. del Campo , E. Solano , J. Casanova

We present an algebraic framework for approximate model reduction of Markovian open quantum dynamics that guarantees complete positivity and trace preservation by construction. First, we show that projecting a Lindblad generator on its…

Quantum Physics · Physics 2026-03-13 Tommaso Grigoletto , Alain Sarlette , Francesco Ticozzi , Lorenza Viola

The Lindblad equation describes the dissipative time evolution of a density matrix that characterizes an open quantum system in contact with its environment. The widespread ensemble interpretation of a density matrix requires its time…

Quantum Physics · Physics 2020-09-04 Bernd Fernengel , Barbara Drossel

Recent experiments with quantum simulators using ultracold atoms and superconducting qubits have demonstrated the potential of controlled dissipation as a versatile tool for realizing correlated many-body states. However, determining the…

Bistable systems present two degenerate metastable configurations separated by an energy barrier. Thermal or quantum fluctuations can promote the transition between the configurations at a rate which depends on the dynamical properties of…

Statistical Mechanics · Physics 2018-07-23 L. Stella , H. Ness , C. D. Lorenz , L. Kantorovich

We consider an open quantum Fermi-system which consists of a single degenerate level with pairing interactions embedded into a superconducting bath. The time evolution of the reduced density matrix for the system is given by Linblad master…

Superconductivity · Physics 2015-05-28 Daniel S. Kosov , Tomaz Prosen , Bojan Zunkovic

We consider an open quantum system described by a Lindblad-type master equation with two times-scales. The fast time-scale is strongly dissipative and drives the system towards a low-dimensional decoherence-free space. To perform the…

Quantum Physics · Physics 2016-03-16 Remi Azouit , Alain Sarlette , Pierre Rouchon

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

Understanding the dynamics of dissipative quantum systems, particularly beyond the weak coupling approximation, is central to various quantum applications. While numerically exact methods provide accurate solutions, they often lack the…

Quantum Physics · Physics 2024-06-26 Marlon Brenes , Brett Min , Nicholas Anto-Sztrikacs , Nir Bar-Gill , Dvira Segal
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