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A non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any…

量子物理 · 物理学 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

We study the Lindblad master equation in the space of operators and provide simple criteria for closeness of the hierarchy of equations for correlations. We separately consider the time evolution of closed and open systems and show that…

量子物理 · 物理学 2015-06-17 Bojan Žunkovič

Dynamic properties of fermionic systems, like contollability, reachability, and simulability, are investigated in a general Lie-theoretical frame for quantum systems theory. Observing the parity superselection rule, we treat the fully…

量子物理 · 物理学 2014-09-18 Zoltán Zimborás , Robert Zeier , Michael Keyl , T. Schulte-Herbrueggen

We consider a class of open quantum many-body Lindblad dynamics characterized by an all-to-all coupling Hamiltonian and by dissipation featuring collective ``state-dependent" rates. The latter encodes local incoherent transitions that…

统计力学 · 物理学 2023-08-16 Eliana Fiorelli , Markus Müller , Igor Lesanovsky , Federico Carollo

The dynamical aspects of a spin-1/2 particle in Hermitian coquaternionic quantum theory is investigated. It is shown that the time evolution exhibits three different characteristics, depending on the values of the parameters of the…

数学物理 · 物理学 2015-03-19 Dorje C. Brody , Eva-Maria Graefe

We develop a theoretical description of non-Hermitian time evolution that accounts for the break- down of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigen-energies…

量子物理 · 物理学 2018-07-25 Hailong Wang , Li-Jun Lang , Y. D. Chong

In classical probability theory, the term "cutoff" describes the property of some Markov chains to jump from (close to) their initial configuration to (close to) completely mixed in a very narrow window of time. We investigate how coherent…

统计力学 · 物理学 2020-10-14 Eric Vernier

This paper considers the extension of the non-Markovian stochastic approach for quantum open systems strongly coupled to a fermionic bath, to the models in which the system operators commute with the fermion bath. This technique can also be…

量子物理 · 物理学 2013-04-19 Xinyu Zhao , Wufu Shi , Lian-Ao Wu , Ting Yu

We study quantum dynamics of many-qubit systems strongly coupled to a quantized electromagnetic cavity mode, in the presence of decoherence and dissipation for both fermions and cavity photons. The analytic solutions are derived for a broad…

量子物理 · 物理学 2021-09-01 Mikhail Tokman , Qianfan Chen , Maria Erukhimova , Yongrui Wang , Alexey Belyanin

We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we…

统计力学 · 物理学 2021-09-01 Francesco Tarantelli , Ettore Vicari

We derive an equation for the time evolution of the natural occupation numbers for fermionic systems with more than two electrons. The evolution of such numbers is connected with the symmetry-adapted generalized Pauli exclusion principle,…

量子物理 · 物理学 2019-07-31 Carlos L. Benavides-Riveros , Miguel A. L. Marques

In recent years, the reassessment of quantum physical phenomena under the framework of resource theories has triggered the design of novel quantum technologies that take advantage from quantum resources, such as entanglement and quantum…

量子物理 · 物理学 2022-04-08 Diego Paiva Pires , Diogo O. Soares-Pinto , E. Vernek

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times to the initial state. We show that the ensuing dynamics is non-Markovian and…

统计力学 · 物理学 2022-10-05 Gabriele Perfetto , Federico Carollo , Igor Lesanovsky

We study time-evolving resonant states in an open double quantum-dot system, taking into account spin degrees of freedom as well as both on-dot and interdot Coulomb interactions. We exactly derived a non-Hermite effective Hamiltonian acting…

介观与纳米尺度物理 · 物理学 2026-03-16 Akinori Nishino , Naomichi Hatano

The Lindblad equation is commonly used for studying quantum dynamics in open systems that cannot be completely isolated from an environment, relevant to a broad variety of research fields, such as atomic physics, materials science, quantum…

量子物理 · 物理学 2018-09-26 Zhu Ruan , Roi Baer

We formulate and discuss explicit computation of dynamic correlation functions in open quadradic fermionic systems which are driven and dissipated by the Lindblad jump processes that are linear in canonical fermionic operators. Dynamic…

统计力学 · 物理学 2018-01-17 Pavel Kos , Tomaz Prosen

We derive a general scheme to obtain quantum fluctuation relations for dynamical observables in open quantum systems. For concreteness we consider Markovian non-unitary dynamics that is unraveled in terms of quantum jump trajectories, and…

量子物理 · 物理学 2021-07-14 Stefano Marcantoni , Carlos Pérez-Espigares , Juan P. Garrahan

We study abrupt changes in the dynamics and/or steady state of fermionic dissipative systems produced by small changes of the system parameters. Specifically, we consider open fermionic systems whose dynamics is described by master…

量子物理 · 物理学 2013-02-18 Birger Horstmann , J. Ignacio Cirac , Géza Giedke

Consider a system $X = ((x_\xi(t)), \xi \in \Omega_N)_{t \geq 0}$ of interacting Fleming-Viot diffusions with mutation and selection which is a strong Markov process with continuous paths and state space $(\CP(\I))^{\Omega_N}$, where $\I$…

概率论 · 数学 2011-04-07 Donald A. Dawson , Andreas Greven

The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the…

统计力学 · 物理学 2014-06-03 Phil Attard