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In this work, we present a numerical framework for modeling single photon emission from a two level system in open and dissipative systems beyond the Markovian approximation. The method can be readily integrated into standard computational…

Quantum Physics · Physics 2025-11-06 Hyunwoo Choi , Jisang Seo , Weng C. Chew , Dong-Yeop Na

We present a general theory of non-Markovian dynamics for open quantum systems. We explore the non-Markovian dynamics by connecting the exact master equations with the non-equilibirum Green functions. Environmental back-actions are fully…

Quantum Physics · Physics 2013-05-30 Wei-Min Zhang , Ping-Yuan Lo , Heng-Na Xiong , Matisse Wei-Yuan Tu , Franco Nori

We study the dynamics of a transmon qubit that is capacitively coupled to an open multimode superconducting resonator. Our effective equations are derived by eliminating resonator degrees of freedom while encoding their effect in the…

Quantum Physics · Physics 2017-05-02 Moein Malekakhlagh , Alexandru Petrescu , Hakan E. Türeci

Embedding non-Markovian open quantum dynamics into an enlarged Markovian space offers a powerful route to nonperturbative simulations, where the dynamics of the extended space can be governed by multiple distinct Markovian equations. We…

Quantum Physics · Physics 2026-02-26 Meng Xu , J. T. Stockburger , J. Ankerhold

In this paper we demonstrate that two commonly used phenomenological post-Markovian quantum master equations can be derived without using any perturbative approximation. A system coupled to an environment characterized by self-classical…

Quantum Physics · Physics 2014-02-03 Adrian A. Budini

The concept of non-Markovianity (NM) in quantum dynamics is still an open debate. Understanding how to generate and measure NM in specific models may aid in this quest. In quantum optics, an engineered electromagnetic environment coupled to…

Quantum Physics · Physics 2016-07-04 M. F. Z. Arruda , D. Valente , T. Werlang

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

The degree of non-Markovianity allows to characterizing quantum evolutions that depart from a Markovian regime in a similar way as Schmidt number measures the degree of entanglement of pure states. Maximally non-Markovian dynamics are the…

Quantum Physics · Physics 2018-06-05 Adrián A. Budini

Within the matrix product state framework, we study the non-Markovian feedback dynamics of a two-level system interacting with the electromagnetic field inside a semi-infinite waveguide where the excitation of an atom-photon bound state is…

Quantum Physics · Physics 2021-03-17 Kisa Barkemeyer , Andreas Knorr , Alexander Carmele

The quantum fluctuation-dissipation theorem is a central ingredient in the construction of quantum dynamics of Brownian motion which necessarily is non-Markovian. Yet, often Markovian approximations to quantum dynamics are studied in the…

Statistical Mechanics · Physics 2026-01-06 Michele Coppola , Zoubair Daouma , Malte Henkel

We develop the thermodynamics of non-Markovian generalized Langevin equations by embedding them in a high-dimensional Markovian representation involving auxiliary degrees of freedom. If the memory is linear and satisfies detailed balance…

Statistical Mechanics · Physics 2026-04-29 Andreas Dechant , Kiyoshi Kanazawa

We study the laser-driven Dicke model beyond the rotating-wave approximation. For weak coupling of the system to environmental degrees of freedom the dissipative dynamics of the emitter-cavity system is described by the Floquet master…

Quantum Physics · Physics 2017-10-18 D. Pagel , H. Fehske

Understanding the behaviour of a quantum system coupled to its environment is of fundamental interest in the general field of quantum technologies. It also has important repercussions on foundational problems in physics, such as the process…

Quantum Physics · Physics 2021-11-01 Sapphire Lally , Nicholas Werren , Jim Al-Khalili , Andrea Rocco

Phonon interactions are inevitable in cavity quantum electrodynamical systems based on solid-state emitters or fluorescent molecules, where vibrations of the lattice or chemical bonds couple to the electronic degrees of freedom. Due to the…

Quantum Physics · Physics 2021-06-16 Matias Bundgaard-Nielsen , Jesper Mørk , Emil Vosmar Denning

We experimentally emulate, in a controlled fashion, the non-Markovian dynamics of a pure dephasing spin-boson model at zero temperature. Specifically, we use a randomized set of external radio-frequency fields to engineer a desired noise…

Quantum Physics · Physics 2019-02-15 Deepak Khurana , Bijay Kumar Agarwalla , T. S. Mahesh

Non-Markovian dynamics go beyond the Markovian approximation by capturing memory effects and information backflow in open quantum systems, which are crucial for describing realistic physical processes. In this work, we study the exact…

Optics · Physics 2025-03-28 H. Z. Shen , Cheng Shang , Yan-Hui Zhou , X. X. Yi

The dynamics of a three-level atom in a cascade configuration with both transitions coupled to a single structured reservoir of quantized field modes is treated using Laplace transform methods applied to the coupled amplitude equations.…

Quantum Physics · Physics 2007-05-23 B. M. Garraway , B. J. Dalton

This work extends quantum optical models of high harmonic generation by considering a quantum stochastic analysis of the field modes coupled to an environment. In particular, we study the open system dynamics by solving the quantum Langevin…

Quantum Physics · Physics 2025-08-19 Philipp Stammer

We present a novel numerical framework that integrates the modified Langevin noise formalism into the multimode Jaynes- and Tavis-Cummings models, enabling a first-principles, non-Markovian analysis of atom-field interactions in dissipative…

Quantum Physics · Physics 2025-04-04 Hyunwoo Choi , Weng Cho Chew , Dong-Yeop Na

We derive a many-site version of the non-Markovian time-convolutionless polaron master equation [S. Jang et al., J. Chem Phys. 129, 101104 (2008)] to describe electronic excitation dynamics in multichromophoric systems. By treating…

Quantum Physics · Physics 2015-05-28 Avinash Kolli , Ahsan Nazir , Alexandra Olaya-Castro
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