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We study the exact dynamics of optical qubits encoded via coherent states with opposite phases which are interacting with an environment modeled as a collection of simple harmonic oscillators. Making use of a coherent-state path integral…

Quantum Physics · Physics 2014-02-06 Ming-Jay Yang , Shin-Tza Wu

We address the dynamics of nonclassicality for a quantum system interacting with a noisy fluctuating environment described by a classical stochastic field. As a paradigmatic example, we consider a harmonic oscillator initially prepared in a…

Quantum Physics · Physics 2015-10-27 Jacopo Trapani , Matteo Bina , Sabrina Maniscalco , Matteo G. A. Paris

It has been recently realized that dissipative processes can be harnessed and exploited to the end of coherent quantum control and information processing. In this spirit we consider strongly dissipative quantum systems admitting a…

Quantum Physics · Physics 2014-12-18 Paolo Zanardi , Lorenzo Campos Venuti

The current series of papers is concerned with stochastic stability of monotone dynamical systems by identifying the basic dynamical units that can survive in the presence of noise interference. In the first of the series, for the…

Dynamical Systems · Mathematics 2025-11-18 Jifa Jiang , Xi Sheng , Yi Wang

We derive the equations of quantum mechanics and quantum thermodynamics from the assumption that a quantum system can be described by an underlying classical system of particles. Each component $\phi_j$ of the wave vector is understood as a…

Statistical Mechanics · Physics 2023-09-06 Mario J. de Olliveira

The kinetics of relaxation in quantum systems induced by anomalous fluctuating noise is studied in detail. In this study two processes are considered, as examples: (1) relaxation in two-level system caused by external noise with slowly…

Statistical Mechanics · Physics 2007-05-23 A. I. Shushin

Controlling quantum systems under correlated non-Markovian noise, particularly when strongly coupled, poses significant challenges in the development of quantum technologies. Traditional quantum control strategies, heavily reliant on…

Quantum Physics · Physics 2024-05-01 Arinta Auza , Akram Youssry , Gerardo Paz-Silva , Alberto Peruzzo

A stochastic approach to the quantum dynamics randomly modulated in time by a discrete state non-Markovian noise, which possesses an arbitrary non-exponential distribution of the residence times, is developed. The formally exact expression…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk

We revisit the phenomenon of quantum stochastic resonance in the regime of validity of the Bloch equations. We find that a stochastic resonance behavior in the steady-state response of the system is present whenever the noise-induced…

Quantum Physics · Physics 2009-11-06 L. Viola , E. M. Fortunato , S. Lloyd , C. -H. Tseng , D. G. Cory

We theoretically study the dynamical dephasing of a quantum two level system interacting with an environment exhibiting non-Markovian random telegraph fluctuations. The time evolution of the conditional probability of the environmental…

Quantum Physics · Physics 2020-01-10 Xiangji Cai

Classical metastability manifests as noise-driven switching between disjoint basins of attraction and slowing down of relaxation, quantum systems like qubits and Rydberg atoms exhibit analogous behavior through collective quantum jumps and…

Quantum Physics · Physics 2026-04-28 Ya-Xin Xiang , Weibin Li , Zhengyang Bai , Yu-Qiang Ma

In this paper dynamics and quantum mechanical coherent states of a simple harmonic oscillator are considered in the framework of Generalized Uncertainty Principle(GUP). Equations of motion for simple harmonic oscillator are derived and some…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kourosh Nozari , Tahereh Azizi

We microscopically model the decoherence dynamics of entangled coherent states under the influence of vacuum fluctuation. We derive an exact master equation with time-dependent coefficients reflecting the memory effect of the environment,…

Quantum Physics · Physics 2009-06-02 Jun-Hong An , Mang Feng , Wei-Min Zhang

We address the dynamics of entanglement and quantum discord for two non interacting qubits initially prepared in a maximally entangled state and then subjected to a classical colored noise, i.e. coupled with an external environment…

Quantum Physics · Physics 2013-06-06 C. Benedetti , F. Buscemi , P. Bordone , M. G. A. Paris

In this work, we perform a careful study of an special arrangement of coupled systems that consists of two external harmonic oscillators weakly coupled to an arbitrary network (data bus) of strongly interacting oscillators. Our aim is to…

Quantum Physics · Physics 2016-08-25 F. Nicacio , F. L. Semião

We study the stochastic dynamics of a two-level quantum system interacting with a stochastic magnetic field, and a single frequency electromagnetic field, with and without making the rotating wave approximation (RWA). The transformation to…

Quantum Physics · Physics 2014-12-23 Y. B. Band

In this paper, a quantum filter for estimating the states of a non-Markovian qubit system is presented in an augmented Markovian system framework including both the qubit system of interest and multi-ancillary systems for representing the…

Quantum Physics · Physics 2017-02-20 Shibei Xue , Matthew R. James , Alireza Shabani , Valery Ugrinovskii , Ian R. Petersen

We determine the total state dynamics of a dephasing open quantum system using the standard environment of harmonic oscillators. Of particular interest are random unitary approaches to the same reduced dynamics and system-environment…

Quantum Physics · Physics 2015-06-04 Ansgar Pernice , Julius Helm , Walter T. Strunz

We consider unitary evolution of finite bipartite quantum systems and study time dependence of purity for initial cat states -- coherent superpositions of Gaussian wave-packets. We derive explicit formula for purity in systems with nonzero…

Quantum Physics · Physics 2009-11-11 Marko Znidaric , Tomaz Prosen

Progress on the study of synchronisation in quantum systems has been largely driven by specific examples which resulted in several examples of frequency entrainment as well as mutual synchronisation. Here we study quantum synchronisation by…

Quantum Physics · Physics 2022-06-27 Parvinder Solanki , Noufal Jaseem , Michal Hajdušek , Sai Vinjanampathy
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