Quantum machines powered by correlated baths

Abstract

We consider thermal machines powered by locally equilibrium reservoirs that share classical or quantum correlations. The reservoirs are modeled by the so-called collisional model or repeated interactions model. In our framework, two reservoir particles, initially prepared in a thermal state, are correlated through a unitary transformation and afterward interact locally with the two quantum subsystems which form the working fluid. For a particular class of unitaries, we show how the transformation applied to the reservoir particles affects the amount of heat transferred and the work produced. We then compute the distribution of heat and work when the unitary is chosen randomly, proving that the total swap transformation is the optimal one. Finally, we analyze the performance of the machines in terms of classical and quantum correlations established among the microscopic constituents of the machine.

Power maximization of two-stroke quantum thermal machines

“…The same efficiency of the ideal Otto cycle has been found also in other cycles comprising working substances made of non-resonant components, see for example [6,35,47]. Before comparing the Otto cycle and our cycle without the mediator we comment on what could physically motivate the fact that the ideal Otto cycle and our cycle have the same efficiency.…”

Collision Models Can Efficiently Simulate Any Multipartite Markovian Quantum Dynamics

“…Let us start considering Refs. [32,54], where collision models based on elementary subsystem-ancilla interactions with entangled ancillas have been shown to create correlations. The main limitation with respect to our approach is given by the geometrical constraints on the entangled state of the ancillas, which prevents such model from reproducing a general GKLS master equation.…”

“…This framework, whose origins can be traced back to some important works of the previous century [1][2][3], has given birth to a pletora of "collision" or "repeated interactions" models [4][5][6][7][8][9][10][11][12][13], which have been receiving an increasing attention in recent years, especially due to their fundamental importance in the fields of quantum thermodynamics and open quantum systems. For instance, collision models have been proven useful to investigate flux rectification [14], Landauer's principle [15,16], the emergence of thermalization or non-equilibrium steady states [17][18][19][20][21][22][23][24][25][26], quantum thermometry [27], quantum batteries [28] and quantum thermal machines [29][30][31][32][33], as well as to analyze the thermodynamics of non-thermal baths [34][35][36] or in the presence of strong coupling [37]. Applications outside the field of thermodynamics include the study of open quantum optical systems [38][39][40][41], simulation of non-Markovian effects [9,…”

Battery Charging in Collision Models with Bayesian Risk Strategies

“…This not only makes the dynamics simpler but also more controllable. For example, collisional models have proven to be crucial in developing the basic laws of thermodynamics in the quantum regime [ 5 , 6 , 7 , 8 ] or to further our understanding of non-Markovianity [ 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 ]. For a recent review, see [ 29 ].…”