Reconciliation of quantum local master equations with thermodynamics

@article{Chiara2018ReconciliationOQ,
  title={Reconciliation of quantum local master equations with thermodynamics},
  author={Gabriele de Chiara and Gabriel T Landi and Adam Hewgill and Brendan Reid and Alessandro Ferraro and Augusto J. Roncaglia and Mauro Antezza},
  journal={New Journal of Physics},
  year={2018},
  volume={20},
  pages={113024}
}
The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several interacting subsystems such a derivation is in many cases very hard. An alternative method, employed especially in the modeling of transport in mesoscopic systems, consists in using local master equations (LMEs) containing Lindblad operators acting locally only on the corresponding subsystem. It has been… Expand

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References

SHOWING 1-10 OF 215 REFERENCES
The thermodynamic cost of driving quantum systems by their boundaries
  • F. Barra
  • Computer Science, Physics
  • Scientific reports
  • 2015
TLDR
This work considers systems actively and locally coupled to the environment, evolving with a so-called boundary-driven Lindblad equation, and shows that an XX chain coupled to a left and a right heat baths behaves as a quantum engine, a heater or refrigerator depending on the parameters, with efficiencies bounded by Carnot efficiencies. Expand
Microscopic theory of a nonequilibrium open bosonic chain.
TLDR
This paper shows how to construct Lindblad dissipators to model a one-dimensional bosonic tight-binding chain connected to two baths at the first and last site, kept at different temperatures and chemical potentials, and finds that they have the structure of Landauer's formula. Expand
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
We expand the standard thermodynamic framework of a system coupled to a thermal reservoir by considering a stream of independently prepared units repeatedly put into contact with the system. TheseExpand
Dynamics and thermodynamics of linear quantum open systems.
TLDR
It is shown that the reduced density matrix of the network always obeys a local master equation with a simple analytical solution, and the third law imposes constraints on the low frequency behavior of the environmental spectral densities. Expand
Markovian master equations for quantum thermal machines: local versus global approach
The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, butExpand
The local approach to quantum transport may violate the second law of thermodynamics
Clausius statement of the second law of thermodynamics reads: Heat will flow spontaneously from a hot to cold reservoir. This statement should hold for transport of energy through a quantum networkExpand
Out-of-equilibrium open quantum systems: A comparison of approximate quantum master equation approaches with exact results
We present the Born-Markov approximated Redfield quantum master equation (RQME) description for an open system of noninteracting particles (bosons or fermions) on an arbitrary lattice of $N$ sites inExpand
The Quantum Harmonic Otto Cycle
TLDR
The quantum Otto cycle serves as a bridge between the macroscopic world of heat engines and the quantum regime of thermal devices composed from a single element, and the dynamical model enables the study of finite time cycles limiting time on the adiabatic and the thermalization times. Expand
Perturbative treatment of inter-site couplings in the local description of open quantum networks
The problem of construction of a quantum master equation for a system of sites weakly coupled to each other and to one or more reservoirs (open quantum network) is considered. Microscopic derivationExpand
Heat flux and quantum correlations in dissipative cascaded systems
We study the dynamics of heat flux in the thermalization process of a pair of identical quantum system that interact dissipatively with a reservoir in a {\it cascaded} fashion. Despite the openExpand
...
1
2
3
4
5
...