Quantum Mechanical Engine for the Quantum Rabi Model

Abstract

We consider a purely mechanical quantum cycle comprised of adiabatic and isoenergetic processes. In the latter, the system interacts with an energy bath keeping constant the expectation value of the Hamiltonian. In this work, we study the performance of the quantum cycle for a system described by the quantum Rabi model for the case of controlling the coupling strength parameter, the resonator frequency, and the two-level system frequency. For the cases of controlling either the coupling strength parameter or the resonator frequency, we find that it is possible to closely approach to maximal unit efficiency when the parameter is sufficiently increased in the first adiabatic stage. In addition, for the first two cases the maximal work extracted is obtained at parameter values corresponding to high efficiency, which constitutes an improvement over current proposals of this cycle.

Quantum thermodynamic devices: from theoretical proposals to experimental reality

“…Quantum working mediums also allow for the implementation of non-conventional cycles,. This includes cycles that extract work from a single heat bath whose energy input arises from nonselective measurement of the working medium 124 , cycles that incorporate isoenergetic strokes during which the expectation value of the Hamiltonian is held constant [125][126][127][128][129][130][131] , and cycles that utilize non-thermal baths 41 .…”

Quantum Heat Engines with Singular Interactions

“…In the tradition of thermodynamics, the analysis of quantum heat engines has provided one of the primary tools for exploring how quantum effects change the thermodynamic behavior of a system. A non-exhaustive list of literature analyzing quantum thermal machine performance includes works examining the role of coherence [3][4][5][6][7][8][9][10], quantum correlations [11], many-body effects [9,[12][13][14][15], quantum uncertainty [16], relativistic effects [17][18][19], degeneracy [20,21], endoreversible cycles [22][23][24], finite-time cycles [8,[25][26][27], energy optimization [28], shortcuts to adiabaticity [7,12,13,[29][30][31][32][33][34][35], efficiency and power statistics [36][37][38], and comparisons between classical and quantum machines [22,[39][40][41]. Implementations have been proposed in a wide variety of systems ...…”

Quantum Otto engines at relativistic energies

“…Since then, the study of quantum heat engines has expanded to a massive range of different systems and implementations. Works have examined the role of coherence [9][10][11][12][13][14][15][16], quantum correlations [17], many-body effects [15,[18][19][20][21], quantum uncertainty [22], degeneracy [23,24], endoreversible cycles [25][26][27], finite-time cycles [14,[28][29][30], energy optimization [31], shortcuts to adiabaticity [13,18,19,[32][33][34][35][36][37][38], efficiency and power statistics [39][40][41], and comparisons between classical and quantum machines [25,[42][43][44]. Implementations have been proposed in harmonically confined single ions [45], magnetic systems [46], atomic clouds [47], transmon qubits [48], optomechanical systems…”