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Coupling a many-body-localized system to a dissipative bath necessarily leads to delocalization. Here, we investigate the nature of the ensuing relaxation dynamics and the information it holds on the many-body-localized state. We formulate…

Strongly Correlated Electrons · Physics 2016-04-20 Mark H Fischer , Mykola Maksymenko , Ehud Altman

A novel method is introduced in order to treat the dissipative dynamics of quantum systems interacting with a bath of classical degrees of freedom. The method is based upon an extension of the Nos\`e-Hoover chain (constant temperature)…

Quantum Physics · Physics 2009-11-13 Alessandro Sergi

We present a protocol for the study of the dynamics and thermodynamics of quantum systems strongly coupled to a bath and subject to an external modulation. Our protocol quantifies the evolution of the system-bath composite by expanding the…

Statistical Mechanics · Physics 2018-10-24 Wenjie Dou , Maicol A. Ochoa , Abraham Nitzan , Joseph E. Subotnik

The treatment of quantum thermodynamic systems beyond weak coupling is of increasing relevance, yet extremely challenging. The evaluation of thermodynamic quantities in strong-coupling regimes requires a nonperturbative knowledge of the…

Quantum Physics · Physics 2025-01-16 Francesco Albarelli , Bassano Vacchini , Andrea Smirne

For quantum annealing, as opposed to circuit based quantum computing, the solution to a computational problem is encoded in the ground state of a quantum system. Therefore its susceptibility to environmental effects is a different but not…

Quantum Physics · Physics 2018-09-25 Tobias Chasseur , Stefan Kehrein , Frank K. Wilhelm

We analyze the phase diagram of a quantum particle confined to a finite chain, subject to a dissipative environment described by an Ohmic spectral function. Analytical and numerical techniques are employed to explore both the perturbative…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Sabio , L. Borda , F. Guinea , F. Sols

We examine the decoherence of an asymmetric two-qubit system that is coupled via a tunable interaction term to a common bath or two individual baths of harmonic oscillators. The dissipative dynamics are evaluated using the Bloch-Redfield…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Markus J. Storcz , Frank Hellmann , Calin Hrelescu , Frank K. Wilhelm

We derive a non-Markovian master equation for a charged particle in a magnetic field coupled to a bath and study decoherence by analysing the temporal decay of the off-diagonal elements of the reduced density matrix in the position basis.…

Quantum Physics · Physics 2023-05-31 Suraka Bhattacharjee , Koushik Mandal , Supurna Sinha

A finite number of harmonic oscillators coupled to infinitely many environment oscillators is fundamental to the problem of understanding quantum dissipation of a small system immersed in a large environment. Exact operator solution as a…

Statistical Mechanics · Physics 2009-10-28 I. Joichi , Sh. Matsumoto , M. Yoshimura

We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a fundamental role as one of the four…

Quantum Physics · Physics 2008-02-20 Maximilian Schlosshauer , Andrew P. Hines , Gerard J. Milburn

Based on two dissipative models, universal asymptotic behavior of flow equations for Hamiltonians is found and discussed. Universal asymptotic behavior only depends on fundamental bath properties but not on initial system parameters, and…

Statistical Mechanics · Physics 2009-11-07 T. Stauber

We propose a formulation to obtain the line shape of a magnetic response with dissipative effects that directly reflects the nature of the environment. Making use of the fact that the time evolution of a response function is described by…

Quantum Physics · Physics 2015-05-13 Chikako Uchiyama , Masaki Aihara , Mizuhiko Saeki , Seiji Miyashita

The methodology of stochastic description for dissipation, a generic scheme to decouple the interaction between two subsystems, is applied to the study of dissipative dynamics in quantum optics. It is shown that the influence of the coupled…

Quantum Physics · Physics 2012-05-22 Haifeng Li , Jiushu Shao

The hierarchical equations of motion (HEOM) for a generalized quantum dissipative system is rigorously constructed in the frameworks of two different stochastic dynamical descriptions, i.e., the non-Markovian quantum state diffusion…

Quantum Physics · Physics 2018-07-18 Wei Wu

We investigate in parallel two common pictures used to describe quantum systems interacting with their surrounding environment, i.e., the stochastic Hamiltonian description, where the environment is implicitly included in the fluctuating…

Quantum Physics · Physics 2025-10-01 Lorenzo Bernazzani , Balázs Gulácsi , Guido Burkard

Nanophotonics systems have recently been studied under the perspective of non-Hermitian physics. Given their potential for wavefront control, nonlinear optics and quantum optics, it is crucial to develop predictive tools to assist their…

We present a microscopic approach to quantum dissipation and sketch the derivation of the kinetic equation describing the evolution of a simple quantum system in interaction with a complex quantum system. A typical quantum complex system is…

Quantum Physics · Physics 2009-10-31 Aurel Bulgac , Giu Do Dand , Dimitri Kusnezov

To investigate a system coupled to a harmonic oscillator bath, we propose a new approach based on a phonon number representation of the bath. Compared to the method of the hierarchical equations of motion, the new approach is…

Quantum Physics · Physics 2020-01-08 M. Tokieda , K. Hagino

The paper deals with the problem of dynamics of externally driven open quantum systems. Using the path integral methods we found an analytical expression for time-dependent density matrix of two externally driven coupled quantum oscillators…

Quantum Physics · Physics 2016-01-20 Illarion Dorofeyev

A quantum system put in interaction with another one that is repeatedly measured is subject to a non-unitary dynamics, through which it is possible to extract subspaces. This key idea has been exploited to propose schemes aimed at the…

Quantum Physics · Physics 2009-11-13 B. Militello , K. Yuasa , H. Nakazato , A. Messina