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We study a driven harmonic oscillator operating an Otto cycle between two thermal baths of finite size. By making extensive use of the tools of Gaussian quantum mechanics, we directly simulate the dynamics of the engine as a whole, without…

Quantum Physics · Physics 2018-04-19 Alejandro Pozas-Kerstjens , Eric G. Brown , Karen V. Hovhannisyan

We present the Reduced Operator Approximation: a simple, physically transparent and computationally efficient method of modelling open quantum systems. It employs the Heisenberg picture of the quantum dynamics, which allows us to focus on…

Quantum Physics · Physics 2015-08-06 Agnieszka Werpachowska

We investigate two prototypical dissipative bosonic systems under slow driving and arbitrary system-bath coupling strength, recovering their dynamic evolution as well as the heat and work rates, and we verify that thermodynamic laws are…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Maicol A. Ochoa , Natalya Zymbovskaya , Abraham Nitzan

The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via…

Quantum Physics · Physics 2020-05-11 Revanth Badveli , Vinayak Jagadish , S. Akshaya , R. Srikanth , Francesco Petruccione

The conditions under which an open quantum mechanical system may be described by mixed quantum-classical dynamics are investigated. Decoherence is studied using influence functional methods in a model composite quantum system comprising two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kazutomu Shiokawa , Raymond Kapral

We derive the exact out-of-equilibrium Wigner function of a bosonic mode linearly coupled to a bosonic bath of arbitrary spectral density. Our solution does not rely on any master equation approach and it therefore also correctly describes…

Quantum Physics · Physics 2014-01-13 A. Rancon , J. Bonart

A quantum two-level system immersed in a sub-Ohmic bath experiences enhanced low-frequency quantum statistical fluctuations which render the nonequilibrium quantum dynamics highly non-Markovian. Upon using the numerically exact…

Statistical Mechanics · Physics 2022-09-20 Florian Otterpohl , Peter Nalbach , Michael Thorwart

We consider multiple non-interacting quantum mechanical two-level systems coupled to a common bosonic bath and study its quantum phase transition with Monte Carlo simulations using a continuous imaginary time cluster algorithm. The common…

Statistical Mechanics · Physics 2014-12-10 André Winter , Heiko Rieger

We consider the time development of the density matrix for a system coupled to a thermal bath, in models that go beyond the standard two-level systems through addition of an energy excitation degree of freedom and through the possibility of…

Quantum Physics · Physics 2016-09-08 N. F. Bell , R. F. Sawyer , R. R. Volkas

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

Chemical Physics · Physics 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

We present an exact derivation of a process in which a microscopic measured system interacts with heat-bath and pointer modes of a measuring device, via a coupling involving a general Hermitian operator $\Lambda$ of the system. In the limit…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Dima Mozyrsky , Vladimir Privman

We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix…

Quantum Physics · Physics 2015-02-27 Amir Fruchtman , Brendon W. Lovett , Simon C. Benjamin , Erik M. Gauger

We study the nonequilibrium steady-state of a fully-coupled network of $N$ quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings, we consider two setups: one in which the number…

Statistical Mechanics · Physics 2022-09-27 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni

It is known that the origin of the deviations from standard thermodynamics proceed from the strong coupling to the bath. Here, it is shown that these deviations are related to the power spectrum of the bath. Specifically, it is shown that…

Quantum Physics · Physics 2015-08-26 Johan F. Triana

Describing the thermodynamic properties of quantum systems far from equilibrium is challenging, in particular when the system is strongly coupled to its environment, or when memory effects cannot be neglected. Here, we address such regimes…

Mesoscale and Nanoscale Physics · Physics 2022-02-11 Matteo Carrega , Loris Maria Cangemi , Giulio De Filippis , Vittorio Cataudella , Giuliano Benenti , Maura Sassetti

The spin-boson model, involving spins interacting with a bath of quantum harmonic oscillators, is a widely used representation of open quantum systems. Trapped ions present a natural platform for simulating the quantum dynamics of such…

We present here a brief overview of our work in developing a convolutionless quantum master equation approach suitable for mesoscopic sized systems. Our final equation can be used in the regimes where the golden rule approach is not…

Materials Science · Physics 2007-05-23 Eric R. Bittner , Andrey Pereverzev

We study the reduced dynamics of a pair of non-degenerate oscillators coupled collectively to a thermal bath. The model is related to the trilinear boson model where the idler mode is promoted to a field. Due to nonlinear coupling, the…

Quantum Physics · Physics 2013-05-15 B. A. Tay

The time-dependent energy transfer in a driven quantum system strongly coupled to a heat bath is studied within an influence functional approach. Exact formal expressions for the statistics of energy dissipation into the different channels…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 Matteo Carrega , Paolo Solinas , Maura Sassetti , Ulrich Weiss

We consider a qubit coupled to a nonlinear quantum oscillator, the latter coupled to an Ohmic bath, and investigate the qubit dynamics. This composed system can be mapped onto that of a qubit coupled to an effective bath. An approximate…

Quantum Physics · Physics 2015-05-20 Carmen Vierheilig , Dario Bercioux , Milena Grifoni