A Random Matrix Model for the Entanglement Entropy of Free Fermions
By Leonid Pastur
Tensor Networks and spectral properties: probing ETH
By Mari Carmen Banuls
Appears in collection : 2024 - T1 - WS1 - Quantum simulators
We study the thermodynamics of free-fermion systems coupled to quantum thermal baths within a Markovian approximation. In particular, we construct a four-stroke quantum Otto engine by alternately coupling such kind of systems to two reservoirs at different temperatures and operating adiabatic switches of some Hamiltonian parameters, followed by isochoric transformations.
We show that the engine can operate in four different modes; in particular it can act as a heat engine and as a refrigerator, with thermodynamic performances that are affected by the possible presence of quantum criticality in the model. We also discuss the effects of non perfect thermalization with the baths and of adiabatic processes which are executed in a finite width of time.