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We analyze a non-Markovian mean field interacting spin system, related to the Curie--Weiss model. We relax the Markovianity assumption by replacing the memoryless distribution of the waiting times of a classical spin-flip dynamics with a…

Probability · Mathematics 2019-11-14 Paolo Dai Pra , Marco Formentin , Guglielmo Pelino

We consider the non-Markovian Langevin evolution of a dissipative dynamical system in quantum mechanics in the path integral formalism. After discussing the role of the frequency cutoff for the interaction of the system with the heat bath…

Quantum Physics · Physics 2009-10-23 E. S. Fraga , G. Krein , L. F. Palhares

With the advent of quantum technology, the interest in communication tasks assisted by quantum systems has increased both in academia and industry. Nonetheless, the transmission of a quantum state in real-world scenarios is bounded by…

We show that nonradiative interactions between atomic dipoles placed in a waveguide can give rise to deterministic entanglement at ranges much larger than their resonant wavelength. The range increases as the dipole-resonance approaches the…

Quantum Physics · Physics 2015-06-05 Ephraim Shahmoon , Gershon Kurizki

In quantum optics, light-matter interaction has conventionally been studied using small atoms interacting with electromagnetic fields with wavelength several orders of magnitude larger than the atomic dimensions. In contrast, here we…

Quantum Physics · Physics 2020-04-16 Gustav Andersson , Baladitya Suri , Lingzhen Guo , Thomas Aref , Per Delsing

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…

Quantum Physics · Physics 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

We present a formula to evaluate the spontaneous emission spectra of an atom in contact with a radiation field with non-Markovian effects. This formula is written in terms of a two-time correlation of system observables and the…

Quantum Physics · Physics 2017-08-17 Ines de Vega , Daniel Alonso

We apply the recently proposed quantum probing protocols with an unknown system-probe coupling to probe the convex coefficients in mixtures of commuting states. By using two reference states instead of one as originally suggested, we are…

Quantum Physics · Physics 2022-09-13 Henri Lyyra , Olli Siltanen , Jyrki Piilo , Subhashish Banerjee , Tom Kuusela

We introduce an auxiliary-particle field theory to treat the non-Markovian dynamics of driven-dissipative quantum systems of the Jaynes-Cummings type. It assigns an individual quantum field to each reservoir state and provides an analytic,…

Quantum Gases · Physics 2024-03-05 Tim Bode , Michael Kajan , Francisco Meirinhos , Johann Kroha

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 study the nonlocal non-Markovian effects through local interactions between two subsystems and the corresponding two environments. It has been found that the initial correlations between two environments can turn a Markovian to a…

Quantum Physics · Physics 2014-02-18 Dong Xie , An Min Wang

We examine a completely positive and trace preserving evolution of finite dimensional open quantum system, coupled to large environment via periodically modulated interaction Hamiltonian. We derive a corresponding Markovian Master Equation…

Mathematical Physics · Physics 2021-01-12 Krzysztof Szczygielski

We investigate the collective dynamics of nonlinearly interacting modes in multimode photonic settings with long-range couplings. To this end, we have established a connection with the theory of spin networks. The emerging "photonic spins"…

Disordered Systems and Neural Networks · Physics 2020-08-05 Alba Ramos , Tsampikos Kottos , Boris Shapiro

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

One of the paradigms of a small quantum system in a dissipative environment is the decay of an excited atom undergoing spontaneous photon emission into the fluctuating quantum electrodynamic vacuum. Recent experiments have demonstrated that…

Quantum Gases · Physics 2018-07-30 Ludwig Krinner , Michael Stewart , Arturo Pazmino , Joonhyuk Kwon , Dominik Schneble

Quantum systems interacting with environments tend to have their information lost from transmission through the correlations generated with the degrees of freedom of the environment. For situations where we have non- Markovian environments,…

Quantum Physics · Physics 2021-10-08 Wilson S. Martins , Diogo O. Soares-Pinto

In this work, we construct three coupled optical modes systems to obtain effective Hamiltonian mediated by coherent dissipative coupling during adiabatic elimination of large dissipation mode. We investigate the cooperative effect of…

Optics · Physics 2025-04-01 H. Yi , T. Z. Luan , W. Y. Hu , Cheng Shang , Yan-Hui Zhou , Zhi-Cheng Shi , H. Z. Shen

We study the dynamics of an interacting Bose-Hubbard chain coupled to a non-Markovian environment. Our basic tool is the reduced generating functional expressed as a path integral over spin-coherent states. We calculate the leading…

Quantum Gases · Physics 2018-08-06 G. Kordas , G. E. Pavlou , A. I. Karanikas

We construct a non-Markovian canonical dynamical map that accounts for systems correlated with the environment. The physical meaning of not completely positive maps is studied to obtain a theory of non-Markovian quantum dynamics. The…

Quantum Physics · Physics 2008-05-23 Cesar A. Rodriguez-Rosario , E. C. G. Sudarshan

By employing the full counting statistics formalism, we characterize the first moment of energy that is exchanged during a generally non-Markovian evolution in non-driven continuous variables systems. In particular, we focus on the…