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We derive an exact non-Markovian master equation that generalizes the previous work [Hu, Paz and Zhang, Phys. Rev. D {\bf 45}, 2843 (1992)] to damped harmonic oscillators with time-varying parameters. This is achieved by exploiting the…

Quantum Physics · Physics 2015-05-18 Kwong Wa Chang , C. K. Law

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

A systematic procedure for deriving the master equation of a dissipative system is reported in the framework of stochastic description. For the Caldeira-Leggett model of the harmonic-oscillator bath, a detailed and elementary derivation of…

Quantum Physics · Physics 2015-05-30 Haifeng Li , Jiushu Shao , Shikuan Wang

The quantum dynamics of a low-dimensional system in contact with a large but finite harmonic bath is theoretically investigated by coarse-graining the bath into a reduced set of effective energy states. In this model, the couplings between…

Chemical Physics · Physics 2024-01-29 Loïse Attal , Cyril Falvo , Florent Calvo , Pascal Parneix

We introduce and describe the multiconfigurational time-depenent Hartree for indistinguishable particles (MCTDH-X) software. This powerful tool allows the investigation of ground state properties and dynamics of interacting quantum…

In experimentally realistic situations, quantum systems are never perfectly isolated and the coupling to their environment needs to be taken into account. Often, the effect of the environment can be well approximated by a Markovian master…

Quantum Physics · Physics 2019-07-03 Michael J. Hartmann , Giuseppe Carleo

We develop a hierarchical functional derivative method to investigate the reduced dynamics of a quantum dissipative system within the framework of a stochastic decoupling description. Keeping only the lowest order truncation of the…

Quantum Physics · Physics 2018-09-26 Wei Wu

The standard weak-coupling approximations associated to open quantum systems have been extensively used in the description of a two-level quantum system, qubit, subjected to relatively weak dissipation compared with the qubit frequency.…

Quantum Physics · Physics 2022-02-15 Wallace S. Teixeira , Fernando L. Semião , Jani Tuorila , Mikko Möttönen

Nonequilibrium dynamical mean-field theory (DMFT) solves correlated lattice models by obtaining their local correlation functions from an effective model consisting of a single impurity in a self-consistently determined bath. The recently…

Strongly Correlated Electrons · Physics 2015-06-22 Karsten Balzer , Zheng Li , Oriol Vendrell , Martin Eckstein

We report on an implementation of the multiconfigurational time-dependent Hartree method (MCTDH) for spin-polarized fermions (MCTDHF). Our approach is based on a mapping for opera- tors in Fock space that allows a compact and efficient…

Computational Physics · Physics 2016-03-30 Elke Fasshauer , Axel U. J. Lode

We consider a driven-dissipative system consisting of an atomic Bose-Einstein condensates loaded into a two-dimensional Hubbard lattice and coupled to a single mode of an optical cavity. Due to the interplay between strong, repulsive atomic…

Quantum Gases · Physics 2025-09-22 Tianyi Wu , Sayak Ray , Johann Kroha

A finite-dimensional quantum system is coupled to a bath of oscillators in thermal equilibrium at temperature $T>0$. We show that for fixed, small values of the coupling constant $\lambda$, the true reduced dynamics of the system is…

Quantum Physics · Physics 2022-01-05 Marco Merkli

Within the framework of probability distributions on projective Hilbert space a scheme for the calculation of multitime correlation functions is developed. The starting point is the Markovian stochastic wave function description of an open…

Quantum Physics · Physics 2009-10-31 Heinz-Peter Breuer , Bernd Kappler , Francesco Petruccione

Thermalizing and localized many-body quantum systems present two distinct dynamical phases of matter. Recently, the fate of a localized system coupled to a thermalizing system viewed as a quantum bath received significant theoretical and…

Disordered Systems and Neural Networks · Physics 2022-07-13 Pietro Brighi , Alexios A. Michailidis , Kristina Kirova , Dmitry A. Abanin , Maksym Serbyn

Using numerically exact diagonalization, we study the correlated Haldane-Hubbard model in the presence of dissipation. Such dissipation can be modeled at short times by the dynamics governed by an effective non-Hermitian Hamiltonian, of…

Strongly Correlated Electrons · Physics 2023-08-29 Can Wang , Tian-Cheng Yi , Jian Li , Rubem Mondaini

We present an exact analytical solution of the Hu-Paz-Zhang master equation in a precise Markovian limit for a system of two harmonically coupled harmonic oscillators interacting with a common thermal bath of harmonic oscillators. The…

Quantum Physics · Physics 2026-02-16 Gábor Homa , Dávid Hamar , József Zsolt Bernád , Peter Adam , András Csordás

We report the results of a first-principles study of dissociative electron attachment to H2O. The cross sections are obtained from nuclear dynamics calculations carried out in full dimensionality within the local complex potential model by…

Chemical Physics · Physics 2007-10-10 Daniel J. Haxton , T. N. Rescigno , C. W. McCurdy

We consider a small Hamiltonian system strongly interacting with a much larger Hamiltonian system (the bath), while being driven by both a time-dependent control parameter and non-conservative forces. The joint system is assumed to be…

Statistical Mechanics · Physics 2025-07-15 Xiangjun Xing

The focus is on understanding the quantum thermodynamics of strongly coupled non-Markovian quantum systems. To this end, a non-trivial, non-Markovian model of a central spin surrounded by a spin bath is taken up, and its exact evolution is…

Quantum Physics · Physics 2025-08-28 Devvrat Tiwari , Baibhab Bose , Subhashish Banerjee

While superfluidity is accurately grasped with a state that explicitly breaks the particle number symmetry, a precise description of phenomena like the particle transfer during heavy-ion reactions can only be achieved by considering systems…

Nuclear Theory · Physics 2019-06-26 D. Regnier , D. Lacroix