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We construct a large class of completely positive and trace preserving non-Markovian dynamical maps for an open quantum system. These maps arise from a piecewise dynamics characterized by a continuous time evolution interrupted by jumps,…

量子物理 · 物理学 2014-04-03 Bassano Vacchini

An analytical expression is derived for the transition path time distribution for a one-dimensional particle crossing of a parabolic barrier. Two cases are analyzed: (i) A non-Markovian process described by a generalized Langevin equation…

统计力学 · 物理学 2018-06-29 E. Carlon , H. Orland , T. Sakaue , C. Vanderzande

Quantum systems can show qualitatively new forms of behavior when they are driven by fast time-periodic modulations. In the limit of large driving frequency, the long-time dynamics of such systems can often be described by a…

量子气体 · 物理学 2015-04-01 N. Goldman , J. Dalibard , M. Aidelsburger , N. R. Cooper

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

量子物理 · 物理学 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

We study the Hamiltonian dynamics of a one-dimensional chain of linearly coupled particles in a spatially periodic potential which is subjected to a time-periodic mono-frequency external field. The average over time and space of the related…

统计力学 · 物理学 2009-11-13 Dirk Hennig

We propose a method for the dynamical control in three-level open systems and realize it in the experiment with a superconducting qutrit. Our work demonstrates that in the Markovian environment for a relatively long time (3 us), the…

量子物理 · 物理学 2022-06-28 Ri-Hua Zheng , Wen Ning , Zhen-Biao Yang , Yan Xia , Shi-Biao Zheng

Statistical properties of cross sections are studied for an open system of interacting fermions. The description is based on the effective non-Hermitian Hamiltonian that accounts for the existence of open decay channels preserving the…

无序系统与神经网络 · 物理学 2014-07-29 G. L. Celardo , F. M. Izrailev , V. G. Zelevinsky , G. P. Berman

Current fluctuations are a powerful tool to unravel the underlying physics of the observed transport process. This work discusses some general properties of the third and the fourth current cumulant (skewness and kurtosis) related to…

介观与纳米尺度物理 · 物理学 2022-08-23 Krzysztof Ptaszynski

For boundary-driven non-equilibrium Markov models of non-interacting particles in one dimension, either in continuous space with the Fokker-Planck dynamics involving an arbitrary force $F(x)$ and an arbitrary diffusion coefficient $D(x)$,…

统计力学 · 物理学 2023-07-06 Cecile Monthus

Interpreting partial information collected from systems subject to noise is a key problem across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables that result from coarse-graining the internal states of…

统计力学 · 物理学 2022-08-18 Pedro E. Harunari , Annwesha Dutta , Matteo Polettini , Édgar Roldán

We develop a density matrix formalism to describe coupled electron-nuclear dynamics. To this end we introduce an effective Hamiltonian formalism that describes electronic transitions and small (quantum) nuclear fluctuations along a…

化学物理 · 物理学 2020-09-07 Eugene Stolyarov , Alexander White , Dmitry Mozyrsky

We study the fluctuations of systems modeled by Markov jump processes with periodic generators. We focus on observables defined through time-periodic functions of the system's states or transitions. Using large deviation theory, canonical…

统计力学 · 物理学 2020-04-22 Lydia Chabane , Raphaël Chétrite , Gatien Verley

We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. The latter emerge in the unraveling of Markovian quantum master equations and/or in continuous quantum measurements. Ensemble-averaging quantum…

量子物理 · 物理学 2022-04-19 Clemens Gneiting , Akshay Koottandavida , Alexander V. Rozhkov , Franco Nori

We consider Markovian open quantum dynamics with weak unitary symmetries. Starting from the quantum master equation for the system alone, it is known that the joint dynamics of the system and its environment can be obtained by dilation,…

量子物理 · 物理学 2025-06-25 Calum A. Brown , Robert L. Jack , Katarzyna Macieszczak

We propose a modified non-Markovian quantum jump method to overcome the obstacle of dramatically increased trajectory number in conventional quantum trajectory simulations. In our method the trajectories are classified into the trajectory…

量子物理 · 物理学 2025-12-17 Huanyuan Zhang , Jiasen Jin

For a system in contact with several reservoirs $r$ at different inverse-temperatures $\beta_r$, we describe how the Markov jump dynamics with the generalized detailed balance condition can be analyzed via a statistical physics approach of…

统计力学 · 物理学 2021-05-12 Cecile Monthus

Transport equations for autonomous driven Fermionic quantum systems are derived with the help of statistical assumptions and of the Markov approximation. The statistical assumptions hold if the system consists of subsystems within which…

核理论 · 物理学 2022-04-20 Hans A. Weidenmüller

Engineering quantum systems offers great opportunities both technologically and scientifically for communication, computation, and simulation. The construction and operation of large scale quantum information devices presents a grand…

量子物理 · 物理学 2012-05-30 Sophie G. Schirmer , Daniel K. L. Oi , Weiwei Zhou , Erling Gong , Ming Zhang

Discrete quantum walks are dynamical protocols for controlling a single quantum particle. Despite of its simplicity, quantum walks display rich topological phenomena and provide one of the simplest systems to study and understand…

量子物理 · 物理学 2011-12-09 Takuya Kitagawa

Relying on an exact time evolution scheme, we identify a novel transient energy transfer phe- nomenon in an exactly-solvable quantum microscopic model consisting of a three-level system coupled to two non-Markovian zero-temperature bosonic…

量子物理 · 物理学 2016-10-21 Jun Jing , Dvira Segal , Baowen Li , Lian-Ao Wu