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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…

统计力学 · 物理学 2019-09-04 Jürgen T. Stockburger , Thomas Motz

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…

统计力学 · 物理学 2021-06-23 Marius de Leeuw , Chiara Paletta , Balázs Pozsgay

We formulate the classical polarization theory for light by using entanglement analysis. We demonstrate a route to a systematic and consistent measure of ordinary light polarization that extends automatically to a new understanding of the…

光学 · 物理学 2011-11-02 X. F. Qian , J. H. Eberly

A completely positive master equation describing quantum dissipation for a Brownian particle is derived starting from microphysical collisions, exploiting a recently introduced approach to subdynamics of a macrosystem. The obtained equation…

量子物理 · 物理学 2009-11-06 B. Vacchini

The eletromagnetic field in a linear absorptive dielectric medium, is quantized in the framework of the damped polarization model. A Hamiltonian containing a reservoir with continuous degrees of freedom, is proposed. The reservoir minimally…

量子物理 · 物理学 2007-05-23 F. Kheirandish , M. Amooshahi

The design of electrically driven quantum dot devices for quantum optical applications asks for modeling approaches combining classical device physics with quantum mechanics. We connect the well-established fields of semi-classical…

介观与纳米尺度物理 · 物理学 2017-11-06 Markus Kantner , Markus Mittnenzweig , Thomas Koprucki

The quantum damped harmonic oscillator is described by the master equation with usual Lindblad form. The equation has been solved completely by us in arXiv : 0710.2724 [quant-ph]. To construct the general solution a few facts of…

量子物理 · 物理学 2015-05-13 Kazuyuki Fujii

Dissipation and decoherence, and the evolution from pure to mixed states in quantum physics are handled through master equations for the density matrix. Master equations such as the Lindblad equation preserve the trace of this matrix.…

量子物理 · 物理学 2009-11-10 A. R. P. Rau , Weichang Zhao

Providing entanglement for the design of quantum technologies in the presence of noise constitutes today's main challenge in quantum information science. A framework is required that assesses the build-up of entanglement in realistic…

量子物理 · 物理学 2026-01-26 Julien Pinske , Laura Ares , Benjamin Hinrichs , Martin Kolb , Jan Sperling

The coherent quantum dynamics of a single bosonic spin variable, subject to a constraint derived from the quantum spherical model of a ferromagnet, and coupled to an external heat bath, is studied through the Lindblad equation for the…

统计力学 · 物理学 2016-02-12 Sascha Wald , Malte Henkel

Quantum open systems are described in the Markovian limit by master equations in Lindblad form. I argue that common ``quantum jumps'' techniques, which solve the master equation by unraveling its evolution into stochastic trajectories in…

量子物理 · 物理学 2009-10-30 Todd A. Brun

We develop a Markovian master equation in the Lindblad form that enables the efficient study of a wide range of open quantum many-body systems that would be inaccessible with existing methods. The validity of the master equation is based…

介观与纳米尺度物理 · 物理学 2020-09-08 Frederik Nathan , Mark S. Rudner

We compare two approaches to open quantum systems, namely, the non-Hermitian dynamics and the Lindblad master equation. In order to deal with more general dissipative phenomena, we propose the unified master equation that combines the…

量子物理 · 物理学 2014-09-10 Konstantin G. Zloshchastiev , Alessandro Sergi

A single quantum dissipative oscillator described by the Lindblad equation serves as a model for a nanosystem. This model is solved exactly by using the ambiguity function. The solution shows the features of decoherence (spatial extent of…

量子物理 · 物理学 2009-11-06 R. W. Rendell , A. K. Rajagopal

In the framework of the Lindblad theory for open quantum systems the damping of the harmonic oscillator is studied. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master…

量子物理 · 物理学 2007-05-23 A. Isar , A. Sandulescu

We develop a systematic field-theoretical approach to open quantum systems based on condensed-matter many-body methods. The time evolution of the reduced density matrix for the open quantum system is determined by a transmission matrix.…

量子物理 · 物理学 2022-08-09 Hans C. Fogedby

We show how the effective equation of motion for a distinguished quantum particle in an ideal gas environment can be obtained by means of the monitoring approach introduced in [EPL 77, 50007 (2007)]. The resulting Lindblad master equation…

量子物理 · 物理学 2009-06-09 Klaus Hornberger , Bassano Vacchini

The heating of trapped ions due to the interaction with a {\it quantized environment} is studied {\it without performing the Born-Markov approximation}. A generalized master equation local in time is derived and a novel theoretical approach…

量子物理 · 物理学 2009-11-07 F. Intravaia , S. Maniscalco , J. Piilo , A. Messina

We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of…

偏微分方程分析 · 数学 2026-02-03 Matti Lassas , Medet Nursultanov , Lauri Oksanen , John C. Schotland

Recently, an effective Lindblad master equation for quantum systems whose dynamics are coupled to dissipative bosonic modes has been introduced [Phys. Rev. Lett. 129, 063601 (2022)]. In this approach, the bosonic modes are adiabatically…

量子物理 · 物理学 2023-07-18 Simon B. Jäger , Ralf Betzholz