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Markovian open quantum systems are governed by the Lindblad master equation where the dissipation contains two parts, i.e., the anti-Hermitian operator and the quantum jumps, which share a common dissipation rate. We generalize the Lindblad…

量子物理 · 物理学 2025-03-11 Xu-Ke Gu , Li-Zhou Tan , Franco Nori , J. Q. You

The quantum dynamics of a damped and forced harmonic oscillator described by a Lindblad master equation is analyzed. The master equation is converted into a matrix-vector representation and the resulting non-Hermitian Schr\"odinger equation…

量子物理 · 物理学 2019-09-10 H. J. Korsch

We investigate the relation between non-Hermitian Hamiltonian and Lindblad dynamics in nonequilibrium open quantum systems. Non-Hermitian models can extend phase diagrams and enable sensing advantages, but such effects often rely on…

量子物理 · 物理学 2026-04-13 Grazia Di Bello , Fabrizio Pavan , Vittorio Cataudella , Donato Farina

We study two-body non-Hermitian physics in the context of an open dissipative system depicted by the Lindblad master equation. Adopting a minimal lattice model of a handful of interacting fermions with single-particle dissipation, we show…

量子气体 · 物理学 2022-01-19 Peize Ding , Wei Yi

The quantum dynamics of a damped and forced harmonic oscillator is investigated in terms of a Lindblad master equation. Elementary algebraic techniques are employed allowing for example to analyze the long time behavior, i.e. the quantum…

量子物理 · 物理学 2019-09-15 H. J. Korsch

We present an alternative form of master equation, applicable on the analysis of non-equilibrium dynamics of fermionic open quantum systems. The formalism considers a general scenario, composed by a multipartite quantum system in contact…

量子物理 · 物理学 2017-11-15 Fabrício M. Souza , L. Sanz

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…

量子物理 · 物理学 2015-06-09 R. Di Candia , J. S. Pedernales , A. del Campo , E. Solano , J. Casanova

If an open quantum system is initially uncorrelated from its environment, then its dynamics can be written in terms of a Lindblad-form master equation. The master equation is divided into a unitary piece, represented by an effective…

量子物理 · 物理学 2022-05-12 Patrick Hayden , Jonathan Sorce

Despite acute interest in the dynamics of non-Hermitian systems, there is a lack of consensus in the mathematical formulation of non-Hermitian quantum mechanics in the community. Different methodologies are used in the literature to study…

量子物理 · 物理学 2025-03-31 Karin Sim , Nicolò Defenu , Paolo Molignini , R. Chitra

Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation…

量子物理 · 物理学 2021-07-07 Sofia Qvarfort , Michael R. Vanner , P. F. Barker , David Edward Bruschi

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…

In the framework of the Lindblad theory for open quantum systems, a master equation for the quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived for the case when the…

量子物理 · 物理学 2009-11-13 A. Isar , A. Sandulescu , W. Scheid

We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We introduce and discuss three different generators of the flow that transform a linear non-Hermitian operator into a diagonal one. We…

量子物理 · 物理学 2020-12-30 Lorenzo Rosso , Fernando Iemini , Marco Schirò , Leonardo Mazza

Non-Hermitian Hamiltonians and Lindblad operators are some of the most important generators of dynamics for describing quantum systems interacting with different kinds of environments. The first type differs from conservative evolution by…

量子物理 · 物理学 2023-11-27 Daniel Finkelstein-Shapiro

This topical review article reports rapid progress on the generalization and application of entanglement in non-Hermitian free-fermion quantum systems. We begin by examining the realization of non-Hermitian quantum systems through the…

量子物理 · 物理学 2026-01-14 Li-Mei Chen , Yao Zhou , Shuai A. Chen , Peng Ye

We study the entanglement dynamics of multi-qubit systems coupled to a common dissipative environment, focusing on systems with one or two initially excited qubits. Using the Lindblad master equation, we derive the time evolution of the…

量子物理 · 物理学 2025-04-15 Z. Bakhshi , E. Morsheddoost , A. Zeynali

The problem of how measurement in quantum mechanics takes place has existed since its formulation. Von Neumann proposed a scheme where he treated measurement as a two-part process -- a unitary evolution in the full system-ancilla space and…

量子物理 · 物理学 2023-12-14 Gurpahul Singh , Ritesh K. Singh , Soumitro Banerjee

A comparative study of entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented. We distinguish the perspective taken in utilizing the conventional framework of…

量子物理 · 物理学 2024-11-26 Alexander Felski , Alireza Beygi , Christos Karapoulitidis , S. P. Klevansky

The Lindblad equation determines the time evolution of the density operator of open quantum systems. While valid for any system size, its use is, in practice, restricted to prototype/surrogate models with the aim of tackling specific…

量子物理 · 物理学 2026-04-07 Benedikt M. Reible , Somayeh Ahmadkhani , Luigi Delle Site

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…

量子物理 · 物理学 2023-08-16 Gurpahul Singh , Ritesh K. Singh , Soumitro Banerjee
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