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An augmented system model provides an effective way to model non-Markovian quantum systems, which is useful in filtering and control for this class of systems. However, since a large number of ancillary quantum oscillators representing…

Quantum Physics · Physics 2025-12-24 Guangpu Wu , Shibei Xue , Guofeng Zhang , Rebing Wu , Min Jiang , Ian R. Petersen

We show that in a minimal setup of two waveguide-coupled quantum emitters, separated by long distances and subject to an external field, time-delayed feedback can be a resource for sensing field gradients. While the field gradient induces a…

Quantum Physics · Physics 2026-05-08 Prajit Dhara , Isack Padilla , Saikat Guha , Annyun Das , Kanu Sinha

We describe temporally correlated noise processes that influence the idle evolution of a superconducting transmon qubit. To model the composite qubit-environment system we use quantum circuit theory, and we show how a circuit Hamiltonian…

Quantum Physics · Physics 2023-05-24 Balázs Gulácsi , Guido Burkard

The non-Markovia dynamics of quantum evolution plays an important role in open quantum sytem. However, how to quantify non-Markovian behavior and what can be obtained from non- Markovianity are still open questions, especially in complex…

In quantum communication and distributed quantum computing, one-dimensional waveguides provide directional transfer of quantum information. A single-mode waveguide has a density-of-states singularity at the lower cut-off frequency, which…

Quantum Physics · Physics 2012-04-23 Ting Chen , Ren-Bao Liu

We study the non-Markovian quantum dynamics of an emitter inside an open multimode cavity, focusing on the case where the emitter is resonant with high-frequency cavity modes. Based on a Green's function technique suited for open photonic…

Quantum Physics · Physics 2014-03-13 Dmitry O. Krimer , Matthias Liertzer , Stefan Rotter , Hakan E. Tureci

A quantum system that interacts with an environment generally undergoes nonunitary evolution described by a non-Markovian or Markovian master equation. In this paper, we construct the non-Markovian Redfield master equation for a quantum…

High Energy Physics - Theory · Physics 2026-01-13 Brenden Bowen , Nishant Agarwal , Archana Kamal

An approach to non-adiabatic dynamics of atoms in molecular and condensed matter systems under general non-equilibrium conditions is proposed. In this method interaction between nuclei and electrons is considered explicitly up to the second…

Materials Science · Physics 2018-08-01 L. Kantorovich

Open quantum systems are ubiquitous in nature and central to quantum technologies. A common description of their dynamics is given by the celebrated Lindblad master equation, which can be generalized to the non-Markovian scenario. In this…

Quantum Physics · Physics 2025-01-15 Miralem Sinanović , Alessandro Ciani , Shai Machnes , Frank K. Wilhelm

Non-Markovianity has recently attracted large interest due to significant advances in its characterization and its exploitation for quantum information processing. However, up to now, only non-Markovian regimes featuring environment to…

We put forward a measure based on Gaussian steering to quantify the non-Markovianity of continuous-variable (CV) Gaussian quantum channels. We employ the proposed measure to assess and compare the non-Markovianity of a quantum Brownian…

Quantum Physics · Physics 2021-11-17 Massimo Frigerio , Samaneh Hesabi , Davood Afshar , Matteo G. A. Paris

We treat several key stochastic equations for non-Markovian open quantum system dynamics and present a formalism for finding solutions to them via canonical perturbation theory, without making the Born-Markov or rotating wave approximations…

Quantum Physics · Physics 2012-02-06 C. H. Fleming , B. L. Hu

Multi-mode entanglement is investigated in the system composed of $N$ coupled identical harmonic oscillators interacting with a common environment. We treat the problem very general by working with the Hamiltonian without the rotating-wave…

Quantum Physics · Physics 2015-05-13 Gao-xiang Li , Li-hui Sun , Zbigniew Ficek

We study the quantum dynamics of a many-body system subject to coherent evolution and coupled to a non-Markovian bath. We propose a technique to unravel the non-Markovian dynamics in terms of quantum jumps, a connection that was so far only…

We present a theoretical framework to tackle quantum non-Markovian dynamics based on a microscopic collision model (CM), where the bath consists of a large collection of initially uncorrelated ancillas. Unlike standard memoryless CMs, we…

Quantum Physics · Physics 2013-04-30 F. Ciccarello , G. M. Palma , V. Giovannetti

The presence of pairing correlations within the time-dependent density functional theory (TDDFT) extension to superfluid systems, is tantamount to the presence of a quantum collision integral in the evolution equations, which leads to an…

Nuclear Theory · Physics 2024-06-24 Aurel Bulgac , Matthew Kafker , Ibrahim Abdurrahman , Ionel Stetcu

Capturing non-Markovian dynamics of open quantum systems is generally a challenging problem, especially for strongly-interacting many-body systems. In this work, we combine recently developed non-Markovian quantum state diffusion techniques…

Quantum Physics · Physics 2022-02-23 Stuart Flannigan , François Damanet , Andrew J. Daley

We consider a circuit-QED setup that allows the induction and control of non-Markovian dynamics of a qubit. Non-Markovianity is enforced over the qubit by means of its direct coupling to a bosonic mode which is controllably coupled to other…

Quantum Physics · Physics 2015-03-13 P. C. Cárdenas , M. Paternostro , F. L. Semião

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

This work uses the Mori-Zwanzig (M-Z) formalism, a concept originating from non-equilibrium statistical mechanics, as a basis for the development of coarse-grained models of turbulence. The mechanics of the generalized Langevin equation…

Fluid Dynamics · Physics 2017-02-01 Eric J. Parish , Karthik Duraisamy