• Corpus ID: 248965013

A thermodynamically consistent local master equation

@inproceedings{Wang2022ATC,
  title={A thermodynamically consistent local master equation},
  author={Si-Ying Wang and Qin-Ying Yang and Fu-Lin Zhang},
  year={2022}
}
Master equations under appropriate assumptions are efficient tools for the study of open quantum systems. For many-body systems, subsystems of which locally couple to thermal baths and weakly interact with each other, the local approach provides a more convenient description than the global approach. However, these local master equations are believed to generate inconsistencies with the laws of thermodynamics when inter-subsystem interactions exist. Here we develop an alternative local master… 

References

SHOWING 1-10 OF 44 REFERENCES
Quantum thermodynamically consistent local master equations
Local master equations are a widespread tool to model open quantum systems, especially in the context of many-body systems. These equations, however, are believed to lead to thermodynamic anomalies
Reconciliation of quantum local master equations with thermodynamics
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
Perturbative treatment of inter-site couplings in the local description of open quantum networks
A system of sites weakly coupled to each other and to one or more reservoirs (open quantum network) is considered. A new quantum master equation which improves shortcomings of the master equation
Local versus global master equation with common and separate baths: superiority of the global approach in partial secular approximation
Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost
A thermodynamically consistent Markovian master equation beyond the secular approximation
Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they
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, but
Testing the Validity of the 'Local' and 'Global' GKLS Master Equations on an Exactly Solvable Model
TLDR
The global and local approach may be viewed as complementary tools, best suited to different parameter regimes, as the inter-node coupling grows, the LME breaks down whilst the GME becomes correct.
Quantum adiabatic Markovian master equations
We develop from first principles Markovian master equations suited for studying the time evolution of a system evolving adiabatically while coupled weakly to a thermal bath. We derive two sets of
The thermodynamic cost of driving quantum systems by their boundaries
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.
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 network
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