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Microscopic thermal machines promise to play an important role in future quantum technologies. Making such devices widely applicable will require effective strategies to channel their output into easily accessible storage systems like…

Statistical Mechanics · Physics 2024-10-02 Joshua Eglinton , Federico Carollo , Igor Lesanovsky , Kay Brandner

In the previous paper [C. W. Kim and I. Franco, J. Chem. Phys. 160, 214111 (2024)], we developed a theory called MQME-D, which allows us to decompose the overall energy dissipation process in open quantum system dynamics into contributions…

Quantum Physics · Physics 2024-06-11 Chang Woo Kim , Ignacio Franco

Using a generalized Langevin equation of motion, quantum ballistic thermal transport is obtained from classical molecular dynamics. This is possible because the heat baths are represented by random noises obeying quantum Bose-Einstein…

Statistical Mechanics · Physics 2007-10-16 Jian-Sheng Wang

In synaptic molecular communication, the activation of postsynaptic receptors by neurotransmitters (NTs) is governed by a stochastic reaction-diffusion process and, hence, inherently random. It is currently not fully understood how this…

Emerging Technologies · Computer Science 2023-01-18 Sebastian Lotter , Maximilian Schäfer , Robert Schober

We derive the stochastic master equations which describe the evolution of open quantum systems in contact with a heat bath and undergoing indirect measurements. These equations are obtained as a limit of a quantum repeated measurement model…

Mathematical Physics · Physics 2010-04-21 S Attal , C Pellegrini

Quantum transport in disordered systems is studied using a polaron-based master equation. The polaron approach is capable of bridging the results from the coherent band-like transport regime governed by the Redfield equation to incoherent…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Chee Kong Lee , Jeremy Moix , Jianshu Cao

We study the time evolution of a single qubit in contact with a bath, within the framework of projection operator methods. Employing the so-called modified Redfield theory which also treats energy conserving interactions non-perturbatively,…

Statistical Mechanics · Physics 2024-06-10 Jiaozi Wang , Jochen Gemmer

We analyse the quantum dynamics of a nanomechanical resonator coupled to a normal-state single-electron transistor (SET). Starting from a microscopic description of the system, we derive a master equation for the SET island charge and…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Denzil Rodrigues , Andrew Armour

By using the Redfield form of the master equation, we investigate the decoherence times of a double quantum dot charge qubit (DQDCQ) in three different cases, namely when it is coupled to (I) the piezoelectric coupling phonon bath (PCPB),…

Quantum Physics · Physics 2010-01-28 Zeng-Zhao Li , Xiao-Yin Pan , Xian-Ting Liang

In addition to the well-known Landauer-Buttiker scattering theory and the nonequilibrium Green's function technique for mesoscopic transports, an alternative (and very useful) scheme is quantum master equation approach. In this article, we…

Quantum Physics · Physics 2016-07-04 Xin-Qi Li

The general Ericksen-Leslie system for the flow of nematic liquid crystals is reconsidered in the non-isothermal case aiming for thermodynamically consistent models. The non-isothermal model is then investigated analytically. A fairly…

Analysis of PDEs · Mathematics 2015-04-07 Matthias Hieber , Jan Pruess

We investigate the dynamic evolution and thermodynamic process of a driven quantum system immersed in a finite-temperature heat bath. A Born-Markovian quantum master equation is formally derived for the time-dependent system with discrete…

Quantum Physics · Physics 2021-09-08 Dan Wang , Dazhi Xu

This work presents a detailed description of the thermochemical non-equilibrium dissociation of diatomic molecules, and applies this theory to the case of $\rm H_2$ dissociation. The master equations are used to derive corresponding…

Chemical Physics · Physics 2025-01-06 Alex T. Carroll , Jacob Wolmer , Guillaume Blanquart , Aaron M. Brandis , Brett A. Cruden

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

Recently, a "Unified" quantum master equation was derived and shown to be of the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) form. This equation describes the dynamics of open quantum systems in a manner that forgoes the full secular…

Quantum Physics · Physics 2023-05-24 Matthew Gerry , Dvira Segal

The electronic spin in quantum dots can be described by central spin models (CSMs) with a very large number $N_\mathrm{eff} \approx 10^4$ to $10^6$ of bath spins posing a tremendous challenge to theoretical simulations. Here, a fully…

Quantum Physics · Physics 2018-04-24 Robin Röhrig , Philipp Schering , Lars B. Gravert , Benedikt Fauseweh , Götz S. Uhrig

We derive a quantum master equation which describes the dynamics of the ensemble-averaged state of homogeneous disorder models at short times, and mediates a transition from coherent superpositions into classical mixtures. While each single…

Quantum Physics · Physics 2016-04-07 Clemens Gneiting , Felix R. Anger , Andreas Buchleitner

We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify…

Statistical Mechanics · Physics 2009-11-07 Huan-Qiang Zhou , Jon Links , Ross H. McKenzie

Quantum-mechanical methods are widely used for understanding molecular interactions throughout biology, chemistry, and materials science. Quantum diffusion Monte Carlo (DMC) and coupled cluster with single, double, and perturbative triple…

We consider a harmonic oscillator under periodic driving and coupled to two harmonic-oscillator heat baths at different temperatures. We use the thermofield transformation with chain mapping for this setup, which allows us to study the…

Quantum Gases · Physics 2022-01-19 Tianqi Chen , Dario Poletti
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