Time-dependent
quantum heat engines
The development of quantum technologies requires a deeper
understanding of the energetics and thermodynamics of
nonequilibrium quantum systems. Key problems for the
construction of future quantum machines include optimization of
the energetic cost of quantum protocols, efficient heat
management, and the development of effective strategies for
cooling. The common framework to deal with these problems is to
consider open quantum systems weakly coupled to an infinitely
large environment, so that any information which has been
transferred to the environment is lost and cannot be retrieved
by the system, thus excluding memory effects.
On the other hand, when dealing with small, nanoscale quantum
systems the above assumptions easily break down, and one should
develop methods and tools to address regimes beyond that
framework, taking into account memory effects and
system-environment quantum correlations.
We have addressed [1] the above questions in systems where the
system-environment couplings are periodically modulated in time,
and suitably engineered to perform thermodynamic tasks. In
particular, asymmetric couplings to two heat baths can be used
to extract heat from the cold reservoir and to realize an ideal
heat rectifier, where the heat current can be blocked either in
the forward or in the reverse configuration by simply tuning the
frequency of the couplings modulation.
The developed formalism is ideally suited to apply optimal
control and machine learning techniques to quantum thermal
machines, beyond standard approaches for open quantum systems.
Isothermal
heat engines
Starting with the Carnot
engine, the ideal efficiency of a heat engine has been
associated with quasistatic transformations and vanishingly
small output power. We have exactly calculated [2] the
thermodynamic properties of an isothermal heat engine, in
which the working medium is a periodically driven underdamped
harmonic oscillator, focusing instead on the opposite,
antiadiabatic limit, where the period of a cycle is much
shorter than the system’s timescales. We have shown that in
that limit it is possible to approach the ideal energy
conversion efficiency η = 1, with finite output power and
vanishingly small relative power fluctuations. The
simultaneous realization of all the three desiderata of a heat
engine is possible thanks to the breaking of time-reversal
symmetry. We have also shown that non-Markovian dynamics can
further improve the power-efficiency trade-off.
References
[1] M. Carrega, L. M. Cangemi, G. De Filippis, V. Cataudella,
G. Benenti and M. Sassetti, Engineering dynamical couplings
for quantum thermodynamic tasks, preprint arXiv:2109.11510
[cond-mat.mes-hall].
[2] L. M. Cangemi, M. Carrega, A. De Candia, V. Cataudella,
G. De Filippis, M. Sassetti and G. Benenti, Optimal energy
conversion through anti-adiabatic driving breaking time-reversal
symmetry, Phys. Rev. Res. 3, 013237 (2021).