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Quantum computing's potential for exponential speedup is fundamentally limited by decoherence, a phenomenon arising from environmental interactions. Non-Hermitian quantum mechanics, particularly $PT$-symmetric systems, offers a novel…

Quantum Physics · Physics 2025-11-25 Duttatreya , Ipsika Mohanty , Sanjib Dey

As a model of decohering environment, we show that quantum chaotic system behave equivalently as many-body system. An approximate formula for the time evolution of the reduced density matrix of a system interacting with a quantum chaotic…

Quantum Physics · Physics 2009-04-24 Jayendra N. Bandyopadhyay

Given a discrete reversible dynamics, we can define a quantum dynamics, which acts on basis states like the classical one, but also allows for superpositions of them. It is a curious fact that in the quantum version, local changes in the…

Quantum Physics · Physics 2017-02-01 Pablo Arrighi , Vincent Nesme , Reinhard Werner

Chaotic multiscale dynamical systems are common in many areas of science, one of the examples being the interaction of the low-frequency dynamics in the atmosphere with the fast turbulent weather dynamics. One of the key questions about…

Dynamical Systems · Mathematics 2016-04-08 Rafail V. Abramov

We establish a simple quantitative relationship between the environmental memory effects and the characteristics in a dynamical decoupling process. In contrast to previous works, our measures of non-Markovianity are tailored and extended to…

Quantum Physics · Physics 2025-10-21 S. C. Hou , X. Y. Zhang , Si-wen Li , X. X. Yi

Stochastic resonance is a phenomenon where the response signal to external driving is enhanced by environment noise. In quantum regime, the effect of environment is often intrinsically non-Markovian. Due to the combination of such…

Mesoscale and Nanoscale Physics · Physics 2023-03-17 Ruofan Chen , Xiansong Xu

We analyze the dynamics of a system qubit interacting by means a sequence of pairwise collisions with an environment consisting of just two qubits. We show that the density operator of the qubits approaches a common time averaged…

Quantum Physics · Physics 2007-06-13 Giuliano Benenti , G. Massimo Palma

The evolution of entanglement in a non-Hermitian quantum system may behave differently compared to its Hermitian counterpart. In this paper, we investigate the entanglement dynamics of two coupled and driven non-Hermitian qubits. Through…

Quantum Physics · Physics 2023-08-31 Yi-Xi Zhang , Zhen-Tao Zhang , Xiao-Zhi Wei , Bao-Long Liang , Feng Mei , Zhen-Shan Yang

Limit cycles are self-sustained, closed trajectories in phase space representing (un)-stable, periodic behavior in nonlinear dynamical systems. They underpin diverse natural phenomena, from neuronal firing patterns to engineering…

Adaptation and Self-Organizing Systems · Physics 2025-08-15 Sandip Saha , Suvam Pal , Dibakar Ghosh

We consider the quantum dynamics of a free nonrelativistic particle moving in a cavity and we analyze the effect of a rapid switching between two different boundary conditions. We show that this procedure induces, in the limit of infinitely…

Mathematical Physics · Physics 2018-02-15 Paolo Facchi , Giancarlo Garnero , Marilena Ligabò

We explore the effects of spatial locality on the dynamics of random quantum systems subject to a Markovian noise. To this end, we study a model in which the system Hamiltonian and its couplings to the noise are random matrices whose…

Quantum Physics · Physics 2024-01-26 Dror Orgad , Vadim Oganesyan , Sarang Gopalakrishnan

Quantum evolutions are often non-unitary and in such cases, they are frequently regarded as lossy. Such lossiness, however, does not necessarily persist throughout the evolution, and there can often be intermediate time-spans during which…

Quantum Physics · Physics 2025-12-25 Sutapa Saha , Ujjwal Sen

The dynamics of a system composed of two coupled optical cavities, each containing a single two-level atom, is studied over a wide range of detuning and coupling values. A description of the field in terms of delocalized modes reveals that…

Quantum Physics · Physics 2009-11-13 C. D. Ogden , E. K. Irish , M. S. Kim

We investigate dynamics of an optomechanical system under the Non-Markovian environment. In the weak optomechanical single-photon coupling regime, we provide an analytical approach fully taking into account the non-Markovian memory effects.…

Quantum Physics · Physics 2016-04-12 Jiong Cheng , Wen-Zhao Zhang , Ling Zhou , Weiping Zhang

We examine the non-Markovian dynamics in a multipartite system of two initially correlated atomic qubits, each located in a single-mode leaky cavity and interacting with its own bosonic reservoir. We show the dominance of non-Markovian…

Quantum Physics · Physics 2015-06-11 A. Thilagam , A. R. Usha Devi

In this paper, we delve into the issue of Quantum Synchronization in a driven two-level (qubit) system situated within a structured environment. Our findings have practical implications as we discover that adding a time-dependent periodic…

Quantum Physics · Physics 2024-12-19 Amir Hossein Houshmand Almani , Ali Mortezapour , Alireza Nourmandipour

In this Letter, we mainly investigate the dynamic behavior of quantum steering and how to effectively recover the lost steerability of quantum states within non-Markovian environments. We consider two different cases (one-subsystem or…

Quantum Physics · Physics 2017-12-06 Wen-Yang Sun , Dong Wang , Zhi-Yong Ding , Liu Ye

Progress in the creation of large scale, artificial quantum coherent structures demands the investigation of their nonequilibrium dynamics when strong interactions, even between remote parts, are non-perturbative. Analysis of multiparticle…

Qubit reset is crucial in quantum technology and is typically achieved by coupling the qubit to a dissipative environment. However, the achievable speed and fidelity are limited by qubit-environment entanglement. We use exact tensor-network…

Quantum Physics · Physics 2026-03-11 Carlos Ortega-Taberner , Eoin O'Neill , Paul Eastham

A procedure to obtain the dynamics of $N$ independent qudits ($d$-level systems) each interacting with its own reservoir, for any arbitrary initial state, is presented. This is then applied to study the dynamics of the entanglement of two…

Quantum Physics · Physics 2009-11-13 B. Bellomo , R. Lo Franco , G. Compagno