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We consider N identical oscillators coupled to a single environment and show that the conditions for the existence of decoherence free subspaces are degeneracy of the oscillator frequencies and separability of the coupling with the…

Quantum Physics · Physics 2007-05-23 K. M. Fonseca Romero , S. G. Mokarzel , M. C. Nemes

A model of particle interacting with quantum field is considered. The model includes as particular cases the polaron model and non-relativistic quantum electrodynamics. We show that the field operators obey q-commutation relations with q…

Quantum Algebra · Mathematics 2008-11-26 L. Accardi , S. V. Kozyrev , I. V. Volovich

Random fluctuations caused by environmental noise can lead to decoherence in quantum systems. Exploring and controlling such dissipative processes is both fundamentally intriguing and essential for harnessing quantum systems to gain…

The dynamical evolution of an open quantum system can be governed by the Lindblad equation of the density matrix. In this paper, we propose to characterize the density matrix topology by the topological invariant of its modular Hamiltonian.…

Mesoscale and Nanoscale Physics · Physics 2024-06-27 Liang Mao , Fan Yang , Hui Zhai

Bell nonlocality is an intriguing property of quantum mechanics with far reaching consequences for information processing, philosophy and our fundamental understanding of nature. However, nonlocality is a statement about static correlations…

Quantum Physics · Physics 2025-12-19 Nick von Selzam , Florian Marquardt

We theoretically study the non-Markovian dynamics of qubit systems coupled to nonequilibrium environments with nonstationary and non-Markovian statistical properties. The reduced density matrix of the single qubit system satisfies a closed…

Quantum Physics · Physics 2020-08-04 Xiangji Cai

The unraveling of open quantum system dynamics in terms of stochastic quantum trajectories offers a picture of open system dynamics that consistently considers memory effects stemming from the finite correlation time of environment…

Quantum Physics · Physics 2024-09-24 Federico Gallina , Matteo Bruschi , Barbara Fresch

It is known that the dynamical evolution of a system, from an initial tensor product state of system and environment, to any two later times, t1,t2 (t2>t1), are both completely positive (CP) but in the intermediate times between t1 and t2…

Quantum Physics · Physics 2013-05-07 A. R. Usha Devi , A. K. Rajagopal , Sudha , R. W. Rendell

We address stability of a class of Markovian discrete-time stochastic hybrid systems. This class of systems is characterized by the state-space of the system being partitioned into a safe or target set and its exterior, and the dynamics of…

Optimization and Control · Mathematics 2011-03-09 Debasish Chatterjee , Soumik Pal

The nature of randomness and complexity growth in systems governed by unitary dynamics is a fundamental question in quantum many-body physics. This problem has motivated the study of models such as local random circuits and their…

Quantum Physics · Physics 2025-10-10 Laura Cui , Thomas Schuster , Liang Mao , Hsin-Yuan Huang , Fernando Brandao

Dephasing in quantum systems is typically the result of its interaction with environmental degrees of freedom. We investigate within a spin-boson model the influence of a super-Ohmic environment on the dynamics of a quantum two-state…

Quantum Physics · Physics 2023-07-12 Philipp Nacke , Florian Otterpohl , Michael Thorwart , Peter Nalbach

We argue that in a large class of disordered quantum many-body systems, the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specifically the energy eigenvalue statistics of the corresponding…

High Energy Physics - Theory · Physics 2021-01-14 Jordan Cotler , Nicholas Hunter-Jones

The noise decoupling problem is investigated for general N-level Markovian open quantum systems. Firstly, the concept of Cartan decomposition of the Lie algebra $su(N)$ is introduced as a tool of designing control Hamiltonians. Next, under…

Quantum Physics · Physics 2009-09-30 Jing Zhang , Re-Bing Wu , Chun-Wen Li , Tzyh-Jong Tarn , Jian-Wu Wu

We report on the dissipative dynamics of an entangled, bipartite interacting system. We show how to induce and control the so-called early stage disentanglement (and the delayed entanglement generation) dynamics by means of a driving laser…

Quantum Physics · Physics 2011-12-20 Cristian E. Susa , John H. Reina

The interplay of unitary evolution and local measurements in many-body systems gives rise to a stochastic state evolution and to measurement-induced phase transitions in the pure state entanglement. In realistic settings, however, this…

Statistical Mechanics · Physics 2022-08-23 B. Ladewig , S. Diehl , M. Buchhold

We consider two different collective spin systems subjected to strong dissipation -- on the same scale as interaction strengths and external fields -- and show that either continuous or discontinuous dissipative quantum phase transitions…

Quantum Physics · Physics 2008-09-23 S. Morrison , A. S. Parkins

Open quantum systems are inherently coupled to their environments, which in turn also obey quantum dynamical rules. By restricting to dissipative dynamics, here we propose a measure that quantifies how far the environment action on a system…

Quantum Physics · Physics 2023-10-10 Adrián A. Budini

Parity-time (PT) symmetric non-Hermitian Hamiltonians bring about many novel features and interesting applications such as quantum gates faster than those in Hermitian systems, and topological state transfer. The performance of evolutions…

Quantum Physics · Physics 2022-07-20 Ji Bian , Kunxu Wang , Pengfei Lu , Xinxin Rao , Hao Wu , Qifeng Lao , Teng Liu , Yang Liu , Feng Zhu , Le Luo

There is increased interest in time-dependent (non-autonomous) Hamiltonians, stemming in part from the active field of Floquet quantum materials. Despite this, dispersive time-decay bounds, which reflect energy transport in such systems,…

Analysis of PDEs · Mathematics 2025-04-02 Joseph Kraisler , Amir Sagiv , Michael I. Weinstein

We discuss dual time evolution scenarios which, albeit running according to the same real time clock, in each considered case may be mapped among each other by means of an analytic continuation in time. This dynamical duality is a generic…

Statistical Mechanics · Physics 2009-09-18 Piotr Garbaczewski