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Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers due to their non-Hermitian nature, leading to non-unitary evolution, and the limitations of available quantum resources.…

Quantum Physics · Physics 2026-01-12 Yukai Guo , Xing Gao

We derive a modified Lindblad equation for the state of quantum dot tunnel coupled to a Markovian lead when the spin state of the dot is driven by an oscillating magnetic field. We show that the equation is a completely positive,…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Emily Townsend , Joshua Pomeroy , Garnett W. Bryant

We introduce a new framework to study the dynamics of open quantum systems with linearly coupled Gaussian baths. Our approach replaces the continuous bath with an auxiliary discrete set of pseudomodes with dissipative dynamics, but we…

Quantum Physics · Physics 2024-11-26 Gunhee Park , Zhen Huang , Yuanran Zhu , Chao Yang , Garnet Kin-Lic Chan , Lin Lin

We investigate signatures of non-Markovianity in the dynamics of a periodically-driven qubit coupled to a dissipative bosonic environment. We propagate the dynamics of the reduced density matrix of the qubit by integrating the numerically…

Quantum Physics · Physics 2024-04-30 Graziano Amati

The numerically exact path integral Monte Carlo approach for the real-time evolution of dissipative quantum systems (PIMC), particularly suited for systems with discrete configuration space (tight-binding systems), is extended to treat…

Statistical Mechanics · Physics 2009-11-11 Lothar Muehlbacher , Charlotte Escher , Joachim Ankerhold

A wide class of non-Markovian completely positive master equations can be formulated on the basis of quantum collisional models. In this phenomenological approach the dynamics of an open quantum system is modeled through an ensemble of…

Quantum Physics · Physics 2013-09-26 Adrian A. Budini

We study the non-Markovian decoherence and disentanglement dynamics of dissipative quantum systems with special emphasis on non-Gaussian continuous variable systems. The dynamics are described by the Hu-Paz-Zhang master equation of quantum…

Quantum Physics · Physics 2007-11-21 C. Hoerhammer , H. Buettner

We analyse the dynamics of a qubit coupled to a dissipative impurity by comparing local and global derivation schemes of a Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation within the Born-Markov and full secular (FS)…

Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for the evolution of the heavy-quarkonium reduced density matrix that is accurate to next-to-leading order (NLO) in…

High Energy Physics - Phenomenology · Physics 2025-11-25 Nora Brambilla , Miguel Ángel Escobedo , Ajaharul Islam , Michael Strickland , Anurag Tiwari , Antonio Vairo , Peter Vander Griend

A recently proposed Markov approach provides Lindblad-type scattering superoperators, which ensure the physical (positive-definite) character of the many-body density matrix. We apply the mean-field approximation to such many-body equation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Roberto Rosati , Rita Claudia Iotti , Fabrizio Dolcini , Fausto Rossi

In this work we investigate the ground state and the dissipative quantum dynamics of interacting charged particles in an external potential at finite temperature. The recently devised time-dependent quantum Monte Carlo (TDQMC) method allows…

Quantum Physics · Physics 2025-01-29 Ivan P. Christov

Many physical and chemical processes in the condensed phase environment exhibit non-Markovian quantum dynamics. As such simulations are challenging on classical computers, we developed a variational quantum algorithm that is capable of…

Quantum Physics · Physics 2024-03-11 Peter L. Walters , Joachim Tsakanikas , Fei Wang

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

When conducting the numerical simulation of quantum transport, the main obstacle is a rapid growth of the dimension of entangled Hilbert subspace. The Quantum Monte Carlo simulation techniques, while being capable of treating the problems…

Quantum Gases · Physics 2018-04-04 Evgeny A. Polyakov , Alexey N. Rubtsov

We present a general approach to derive Lindblad master equations for a subsystem whose dynamics is coupled to dissipative bosonic modes. The derivation relies on a Schrieffer-Wolff transformation which allows to eliminate the bosonic…

Quantum Physics · Physics 2022-08-17 Simon B. Jäger , Tom Schmit , Giovanna Morigi , Murray J. Holland , Ralf Betzholz

The jump unravelling of a quantum master equation decomposes the dynamics of an open quantum system into abrupt jumps, interspersed by periods of coherent dynamics when no jumps occur. Such open quantum systems are ubiquitous in quantum…

Quantum Physics · Physics 2024-12-16 Marco Radaelli , Gabriel T. Landi , Felix C. Binder

A wide class of exact master equations for a multiple qubit system can be explicitly constructed by using the corresponding exact non-Markovian quantum state diffusion equations. These exact master equations arise naturally from the quantum…

Quantum Physics · Physics 2015-03-02 Yusui Chen , J. Q. You , Ting Yu

The Lindblad form guarantees complete positivity of a Markovian quantum master equation (QME). However, its microscopic derivation for a quantum system weakly interacting with a thermal bath requires several approximations, which may result…

Quantum Physics · Physics 2022-11-23 Jae Sung Lee , Joonhyun Yeo

Density Matrix Exponentiation is a technique for simulating Hamiltonian dynamics when the Hamiltonian to be simulated is available as a quantum state. In this paper, we present a natural analogue to this technique, for simulating Markovian…

Quantum Physics · Physics 2023-09-06 Dhrumil Patel , Mark M. Wilde

By employing the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory within an open quantum system framework, we derive a Lindblad equation governing the evolution of the heavy-quarkonium reduced density…

High Energy Physics - Phenomenology · Physics 2025-03-31 Ajaharul Islam , Nora Brambilla , Miguel Ángel Escobedo , Michael Strickland , Antonio Vairo , Peter Vander Griend