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We explore the connection between two recently introduced notions of non-Markovian quantum dynamics and the validity of the so-called quantum regression theorem. While non-Markovianity of a quantum dynamics has been defined looking at the…

Quantum Physics · Physics 2014-08-27 Giacomo Guarnieri , Andrea Smirne , Bassano Vacchini

We propose a special cavity design that is constructed by terminating a one-dimensional waveguide with a perfect mirror at one end and doping a two-level atom at the other. We show that this atom plays the intrinsic role of a…

Quantum Physics · Physics 2015-05-13 H. Dong , Z. R. Gong , H. Ian , Lan Zhou , C. P. Sun

Characterizing non-Markovianity in open quantum systems (OQSs) is gaining increasing attention due to its profound implications for quantum information processing. This phenomenon arises from the system's evolution being influenced by its…

Quantum Physics · Physics 2025-07-16 Yassine Dakir , Abdallah Slaoui , Lalla Btissam Drissi , Rachid Ahl Laamara

We study the collective decay of two-level emitters coupled to a nonlinear waveguide, for example, a nanophotonic lattice or a superconducting resonator array with strong photon-photon interactions. Under these conditions a new decay…

Quantum Physics · Physics 2020-06-01 Zhihai Wang , Tuomas Jaako , Peter Kirton , Peter Rabl

In the last years, the application of machine learning methods has become increasingly relevant in different fields of physics. One of the most significant subjects in the theory of open quantum systems is the study of the characterization…

Quantum Physics · Physics 2021-03-03 Felipe F. Fanchini , Göktuğ Karpat , Daniel Z. Rossatto , Ariel Norambuena , Raúl Coto

We characterize a class of Markovian dynamics using the concept of divisible dynamical map. Moreover we provide a family of criteria which can distinguish Markovian and non-Markovian dynamics. These Markovianity criteria are based on a…

Quantum Physics · Physics 2012-09-03 Dariusz Chruściński , Andrzej Kossakowski

We show that an open quantum system in a non-Markovian environment can reach steady states that it cannot reach in a Markovian environment. As these steady states are unique for the non-Markovian regime, they could offer a simple way of…

Quantum Physics · Physics 2022-03-14 Andreas Ask , Göran Johansson

Quantum memory effects can be related to a bidirectional exchange of information between an open system and its environment, which in turn modifies the state and dynamical behavior of the last one. Nevertheless, non-Markovianity can also be…

Quantum Physics · Physics 2021-01-26 Adrián A. Budini

In this work we present a large-deviation analysis for the counting statistics of atomic spontaneous emissions continuously detected in finite-bandwidth non-Markovian environment. We show that the statistics of the spontaneous emissions…

Quantum Physics · Physics 2019-03-29 Luting Xu , Xin-Qi Li

We study the collective radiative decay of a system of two two-level emitters coupled to a one-dimensional waveguide in a regime where their separation is comparable to the coherence length of a spontaneously emitted photon. The…

We present a theoretical study of quantum nonreciprocity induced via a Dzyaloshinskii-Moriya interaction (DMI) in an otherwise achiral, waveguide quantum electrodynamics. Using the full quantum master equation and input-output formalism for…

Quantum Physics · Physics 2026-02-13 Zhenghao Zhang , Qingtian Miao , G. S. Agarwal

We investigate the smallest set of requirements for inducing non-Markovian dynamics in a collisional model of open quantum systems. This is done by introducing correlations in the state of the environment and analyzing the divisibility of…

Quantum Physics · Physics 2014-09-24 N. K. Bernardes , A. R. R. Carvalho , C. H. Monken , M. F. Santos

Dissipative phase transitions in quantum systems have been largely studied under the so-called Markovian approximation, where the environments to which the systems are coupled are memoryless. Here, we present a generalization of the…

Quantum Physics · Physics 2024-10-28 Baptiste Debecker , John Martin , François Damanet

Non-Markovian effects in the dynamics of an open system are typically characterized by non-monotonic information flows from the system to its environment or by information backflows from the environment to the system. Using a two-level…

Quantum Physics · Physics 2025-10-10 Da-Wei Luo , Ting Yu

Entropy production plays a fundamental role in nonequilibrium thermodynamics to quantify the irreversibility of open systems. Its positivity can be ensured for a wide class of setups, but the entropy production rate can become negative…

Statistical Mechanics · Physics 2019-01-23 Philipp Strasberg , Massimiliano Esposito

We investigate the emergence of cooperative radiation phenomena in ensembles of two-level atoms coupled to a lossy resonant cavity beyond the Markovian and mean-field approximations. By deriving a complete analytical solution for the…

Quantum Physics · Physics 2026-01-30 Ignacio González , Ángel Rivas

We present a non-Markovian quantum trajectory method for treating atoms radiating into a reservoir with a non-flat density of states. The results of an example numerical simulation of the case where the free space modes of the reservoir are…

Quantum Physics · Physics 2009-10-31 M. W. Jack , M. J. Collett , D. F. Walls

We provide an analysis on non-Markovian quantum evolution based on the spectral properties of dynamical maps. We introduce the dynamical analog of entanglement witness to detect non-Markovianity and we illustrate its behaviour with several…

Quantum Physics · Physics 2017-03-01 Dariusz Chruściński , Chiara Macchiavello , Sabrina Maniscalco

Recent studies have established and rigorously validated a modified Langevin noise formalism that enables first-principles quantization of electromagnetic fields in open and dissipative environments [1,2,3]. Building on this foundation, a…

Optics · Physics 2025-12-10 Jisang Seo , Hyunwoo Choi , Thomas E Roth , Jie Zhu , Weng C Chew , Dong-Yeop Na

We consider the unitary time evolution of continuous quantum mechanical systems confined to a cavity in contact with a finite bath of variable size. Measures for Markovianity for such finite system-bath configurations are developed in terms…

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