Quantum Caloric Effects of Power-Law Potentials: A Thermodynamic Characterization
Quantum Caloric Effects, Quantum Thermodynamics, Power-Law Potentials, Quantum Harmonic Oscillator, Spin Systems.
The recent Quantum Caloric Effect (QCE) bridges the gap between classical and quantum thermodynamics, providing novel insights into heat-exchange processes at the quantum level. In this work, we introduce the application of the QCE to quantum systems characterized by generalized power-law potentials, which include the infinite square well and the quantum harmonic oscillator as limiting cases. By examining these paradigmatic models, we elucidate how discrete energy spectra critically influence caloric responses, revealing fundamental distinctions compared to their classical counterparts. In particular, we derive analytical expressions for the isothermal entropy change ($\Delta S_{iso}$) and the adiabatic temperature variation ($\Delta T_{ad}$) for the Quantum Harmonic Oscillator and the Infinite Square Well. We extend this analysis to the generalized power-law potential, incorporating the semiclassical approximation of canonical entropy. Finally, we outline perspectives for applying this framework to multi-spin systems, such as dimers and trimers, aiming to characterize the intrinsic caloric potential of quantum materials and their implications for quantum thermal machines.