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We derive a Markovian master equation for driven open quantum systems based on the Lewis-Riesenfeld invariants theory, which is available for arbitrary driving protocols.The role of the Lewis-Riesenfeld invariants is to help us bypass the…

Quantum Physics · Physics 2023-04-19 S. L. Wu , X. L. Huang , X. X. Yi

The theory of open quantum systems served as a tool to prepare entanglement at the beginning stage of quantum technology and more recently provides an important tool for state preparation. Dynamics given by time dependent Lindbladians are…

Quantum Physics · Physics 2026-02-20 Jihong Cai , Advith Govindarajan , Marius Junge

Quantum trajectory techniques have been used in the theory of open systems as a starting point for numerical computations and to describe the monitoring of a quantum system in continuous time. Here we extend this technique and use it to…

Quantum Physics · Physics 2026-05-05 Alberto Barchielli

High fidelity models, which support accurate device characterization and correctly account for environmental effects, are crucial to the engineering of scalable quantum technologies. As it ensures positivity of the density matrix, one…

Quantum Physics · Physics 2017-11-01 S. N. A. Duffus , V. M. Dwyer , M. J. Everitt

Understanding and simulating non-Markovian quantum dynamics remains an important challenge in open quantum system theory. A key advance in this endeavour would be to develop a unified mathematical description of non-Markovian dynamics, and…

Quantum Physics · Physics 2022-11-09 Rahul Trivedi

We study the decoherence properties of an entangled bipartite qubit system, represented by two two-level atoms that are individually coupled to non-Markovian reservoirs. This coupling ensures that the dynamical equations of the atoms can be…

Quantum Physics · Physics 2007-05-23 Ian Glendinning , Matthias Jakob , Michael Noelle

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

The Markovian dynamics of open quantum systems is typically described through Lindblad equations, which are derived from the Redfield equation via the full secular approximation. The latter neglects the rotating terms in the master equation…

Quantum Physics · Physics 2025-12-01 Antti Vaaranta , Marco Cattaneo

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

We study the non-equilibrium dynamics of a pair of qubits made of two-level atoms separated in space with distance r and interacting with one common electromagnetic field but not directly with each other. Our calculation makes a weak…

Quantum Physics · Physics 2007-05-23 C. Anastopoulos , S. Shresta , B. L. Hu

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

We study the Markovian dynamics of a collection of n quantum systems coupled to an irreversible environmental channel consisting of a stream of n entangled qubits. Within the framework of repeated quantum interactions, we derive the master…

Quantum Physics · Physics 2018-12-07 Shakib Daryanoosh , Ben Q. Baragiola , Thomas Guff , Alexei Gilchrist

In the thesis we present an analytic approach towards exact description for steady state density operators of nonequilibrium quantum dynamics in the framework of open systems. We employ the so-called quantum Markovian semi-group evolution,…

Quantum Physics · Physics 2014-10-07 Enej Ilievski

We present the Born-Markov approximated Redfield quantum master equation (RQME) description for an open system of non-interacting particles (bosons or fermions) on an arbitrary lattice of $N$ sites in any dimension and weakly connected to…

Statistical Mechanics · Physics 2016-06-16 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni

A simple collision model is employed to introduce elementary concepts of open system dynamics of quantum systems. In particular, within the framework of collision models we introduce the quantum analogue of thermalization process called…

Quantum Physics · Physics 2017-08-23 Mario Ziman , Vladimír Bužek

We investigate the dynamics of genuine multipartite entanglement (GME) in a system of $n$ qubits ($n\ge3$) collectively interacting with a common zero temperature bosonic bath characterized by a Lorentzian spectral density. Restricting the…

Quantum Physics · Physics 2026-05-08 Shubhodeep Gangopadhyay , Vinayak Jagadish , R. Srikanth

We develop a novel framework to engineer persistent oscillatory modes in Markovian open quantum systems governed by a time-independent Lindblad master equation. We show that oscillatory modes can be created when the Hamiltonian and jump…

Quantum Physics · Physics 2026-03-06 Chun Hei Leung , Pak-Tik Fong , Tianyi Yan , Weibin Li

With the rapid progress in quantum hardware, there has been an increased interest in new quantum algorithms to describe complex many-body systems searching for the still-elusive goal of 'useful quantum advantage'. Surprisingly, quantum…

Quantum Physics · Physics 2021-09-22 Kade Head-Marsden , Stefan Krastanov , David A. Mazziotti , Prineha Narang

We study the non-Markovian quantum interference phenomenon of a multi-state atomic system coupled to a bosonic dissipative environment by using the exact master equations derived in this paper. Two examples involving four-level systems with…

Quantum Physics · Physics 2019-01-23 Yusui Chen , J. Q. You , Ting Yu

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
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