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We study families of dynamical maps generated from interactions with varying degrees of symmetry. For a family of time-independent Hamiltonians, we demonstrate the relationship between symmetry, strong-coupling, perfect entanglers,…

量子物理 · 物理学 2023-02-15 Sean Prudhoe , Sarah Shandera

Characterizing nonequilibrium dynamics in quantum many-body systems is a challenging frontier of physics. In this Letter, we systematically construct solvable nonintegrable quantum circuits that exhibit exact hidden Markovian subsystem…

量子物理 · 物理学 2024-11-22 He-Ran Wang , Xiao-Yang Yang , Zhong Wang

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

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

量子物理 · 物理学 2012-08-09 Heinz-Peter Breuer

We analyze a class of dynamics of open quantum systems which is governed by the dynamical map mutually commuting at different times. Such evolution may be effectively described via spectral analysis of the corresponding time dependent…

量子物理 · 物理学 2011-02-18 D. Chruscinski , A. Kossakowski , P. Aniello , G. Marmo , F. Ventriglia

In this paper we propose a continuous-time, dissipative Markov dynamics that asymptotically drives a network of n-dimensional quantum systems to the set of states that are invariant under the action of the subsystem permutation group. The…

量子物理 · 物理学 2026-03-09 Francesco Ticozzi , Luca Mazzarella , Alain Sarlette

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 dynamical invariant, whose expectation value is constant, is generalized to open quantum system. The evolution equation of dynamical invariant (the dynamical invariant condition) is presented for Markovian dynamics. Different with the…

量子物理 · 物理学 2017-10-25 S. L. Wu , X. Y. Zhang , X. X. Yi

The non-Markovian nature of open quantum dynamics lies in the structure of the multitime correlations, which are accessible by means of interventions. Here, by examining multitime correlations, we show that it is possible to engineer…

量子物理 · 物理学 2021-11-22 Daniel Burgarth , Paolo Facchi , Davide Lonigro , Kavan Modi

A geometric description of the space of states of a finite-dimensional quantum system and of the Markovian evolution associated with the Kossakowski-Lindblad operator is presented. This geometric setting is based on two composition laws on…

量子物理 · 物理学 2017-09-27 J. F. Cariñena , J. Clemente-Gallardo , J. A. Jover-Galtier , G. Marmo

Non-Markovian processes may arise in physics due to memory effects of environmental degrees of freedom. For quantum non-Markovianity, it is an ongoing debate to clarify whether such memory effects have a verifiable quantum origin, or…

量子物理 · 物理学 2024-04-18 Charlotte Bäcker , Konstantin Beyer , Walter T. Strunz

By exploiting the peculiarities of a recently introduced formalism for describing open quantum systems (the Parametric Representation with Environmental Coherent States) we derive an equation of motion for the reduced density operator of an…

量子物理 · 物理学 2022-11-23 Giovanni Spaventa , Paola Verrucchi

We find the conditions under which a quantum regression theorem can be assumed valid for non-Markovian master equations consisting in Lindblad superoperators with memory kernels. Our considerations are based on a generalized Born-Markov…

量子物理 · 物理学 2008-03-18 Adrian A. Budini

The physics of Markovian open quantum systems can be described by quantum master equations. These are dynamical equations, that incorporate the Hamiltonian and jump operators, and generate the system's time evolution. Reconstructing the…

量子物理 · 物理学 2020-07-01 Eitan Ben Av , Yotam Shapira , Nitzan Akerman , Roee Ozeri

Recently we pointed out the so-called Local Time Scheme as a novel approach to quantum foundations that solves the preferred pointer-basis problem. In this paper we introduce and analyze in depth a rather non-standard dynamical map that is…

量子物理 · 物理学 2016-09-28 J. Jeknic-Dugic , M. Arsenijevic , M. Dugic

Understanding the precise interaction mechanisms between quantum systems and their environment is crucial for advancing stable quantum technologies, designing reliable experimental frameworks, and building accurate models of real-world…

Closed quantum systems follow a unitary time evolution that can be simulated on quantum computers. By incorporating non-unitary effects via, e.g., measurements on ancilla qubits, these algorithms can be extended to open-system dynamics,…

量子物理 · 物理学 2025-05-07 Peter J. Eder , Jernej Rudi Finžgar , Sarah Braun , Christian B. Mendl

Non-Markovian effects are important in modeling the behavior of open quantum systems arising in solid-state physics, quantum optics as well as in study of biological and chemical systems. The non-Markovian environment is often approximated…

量子物理 · 物理学 2022-01-05 Rahul Trivedi , Daniel Malz , J. Ignacio Cirac

Reservoir engineering has proven to be a practical approach to control open quantum systems, preserving quantum coherence by appropriately manipulating the reservoir and system-reservoir interactions. In this context, for systems comprised…

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