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We define non-Markovian quantum dynamics as evolution in which the current state depends on all past states, and completely characterize its structure under the assumptions of complete positivity and non-signalling. The resulting…

量子物理 · 物理学 2026-05-07 Serhii Kryhin , Vivishek Sudhir

The interrelationship between the non-Markovian stochastic Schr\"odinger equations and the corresponding non-Markovian master equations is investigated in the finite temperature regimes. We show that the general finite temperature…

量子物理 · 物理学 2007-05-23 Ting Yu

It is shown that the exact dynamics of a composite quantum system can be represented through a pair of product states which evolve according to a Markovian random jump process. This representation is used to design a general Monte Carlo…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

Using a recently proposed measure for divisibility of a dynamical map, we study the non-Markovian character of a quantum evolution of a driven spin-$S$ system weakly coupled to a bosonic bath. The complete tomographic knowledge about the…

量子物理 · 物理学 2012-08-09 Xiang Hao , Xuefen Xu , Xiaoqun Wang

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

量子物理 · 物理学 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

Phonon interactions are inevitable in cavity quantum electrodynamical systems based on solid-state emitters or fluorescent molecules, where vibrations of the lattice or chemical bonds couple to the electronic degrees of freedom. Due to the…

量子物理 · 物理学 2021-06-16 Matias Bundgaard-Nielsen , Jesper Mørk , Emil Vosmar Denning

An analytical approach to quantum mechanical wave packet dynamics of laser-driven particles is presented. The time-dependent Schroedinger equation is solved for an electron exposed to a linearly polarized plane wave of arbitrary shape. The…

量子物理 · 物理学 2007-05-23 M. Verschl , C. H. Keitel

A quantum-mechanical many-particle system may exhibit non-local behavior in that measurements performed on one of the particles can affect a second one that is far apart. These so-called entangled states are crucial for the implementation…

其他凝聚态物理 · 物理学 2009-11-10 J. M. Bao , A. V. Bragas , J. K. Furdyna , R. Merlin

The non-Markovian master equation for open quantum systems is obtained by generalization of the ordinary Zwanzig-Nakajima (ZN) projection technique. To this end, a coupled chain of equations for the reduced density matrices of the bath…

统计力学 · 物理学 2019-11-28 V. V. Ignatyuk , V. G. Morozov

We study pattern-forming nonlinear dynamics starting from a continuous wave state of quasi-one-dimensional two-component Bose-Einstein condensates with synthetic spin-orbit coupling induced by Raman lasers. Modulation instability can occur…

量子气体 · 物理学 2019-02-20 Thudiyangal Mithun , Kenichi Kasamatsu

We derive and solve analytically the non-Markovian master equation for harmonic quantum Brownian motion proving that, for weak system-reservoir couplings and high temperatures, it can be recast in the form of the master equation for a…

量子物理 · 物理学 2015-05-13 Sabrina Maniscalco , Jyrki Piilo , Kalle-Antti Suominen

The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in…

量子物理 · 物理学 2024-10-29 Yuri Ozhigov , You Jiangchuan

We study the non-Markovian decoherence and disentanglement dynamics of dissipative quantum systems with special emphasis on non-Gaussian continuous variable systems. The dynamics are described by the Hu-Paz-Zhang master equation of quantum…

量子物理 · 物理学 2007-11-21 C. Hoerhammer , H. Buettner

The continuous pumping of atoms into a Bose-Einstein condensate via spontaneous emission from a thermal reservoir is analyzed. We consider the case of atoms with a three-level $\Lambda$ scheme, in which one of the atomic transitions has a…

量子物理 · 物理学 2009-11-06 L. Santos , F. Floegel , T. Pfau , M. Lewenstein

The theoretical investigation of non-adiabatic processes is hampered by the complexity of the coupled electron-nuclear dynamics beyond the Born-Oppenheimer approximation. Classically, the simulation of such reactions is limited by the…

量子物理 · 物理学 2021-01-06 Pauline J. Ollitrault , Guglielmo Mazzola , Ivano Tavernelli

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

统计力学 · 物理学 2007-05-23 V. G. Morozov , Gerd Ropke

The non-Markovian effects of open quantum systems subjected to external environments are deemed to be valuable resources in quantum optics and quantum information processing. In this work, we investigate the non-Markovian dynamics of a…

光学 · 物理学 2025-12-15 S. J. Sun , Z. Y. Li , C. Cui , Shuang Xu , H. Z. Shen

In this paper, the non-Markovian quantum dynamics of a coupled $N$-cavity model is studied based on the quantum state diffusion (QSD) approach. The time-local Di\'{o}si-Gisin-Strunz equation and the corresponding exact master equation are…

量子物理 · 物理学 2014-04-08 Xinyu Zhao , Jun Jing , J. Q. You , Ting Yu

For a bosonic (fermionic) open system in a bath with many bosons (fermions) modes, we derive the exact non-Markovian master equation in which the memory effect of the bath is reflected in the time dependent decay rates. In this approach,…

量子物理 · 物理学 2013-01-29 Li-Ping Yang , C. Y. Cai , D. Z. Xu , Wei-Min Zhang , C. P. Sun

We study the non-Markovian dynamics of a two-level giant atom interacting with a one-dimensional semi-infinite waveguide through multiple coupling points, where a perfect mirror is located at the endpoint of the waveguide. The system enters…

量子物理 · 物理学 2024-04-12 Z. Y. Li , H. Z. Shen