Effects of rotation on the thermodynamic properties of a quantum dot

TL;DR

This paper explores how rotation influences the thermodynamic and quantum properties of a quantum dot, revealing significant spectral modifications and oscillatory behaviors in magnetization without external magnetic fields.

Contribution

It introduces a detailed analysis of rotational effects on quantum dots, including energy spectrum modifications and thermodynamic behavior, which were not previously characterized.

Findings

Rotation removes degeneracies in energy levels.

Rotation induces oscillations in magnetization similar to de Haas-van Alphen effects.

An adiabatic process shows temperature decrease with increasing angular velocity.

Abstract

In this work, we investigate the effects of rotation on the physical properties of a quantum dot described by a radial potential and subjected to a rotating reference frame. The interplay between rotation and confinement is analyzed by solving the Schr\"odinger equation for the system, yielding energy levels and wavefunctions as functions of angular velocity. We compute key thermodynamic properties, including the density of states, magnetization, entropy, and heat capacity, in the absence of an external magnetic field. Our results demonstrate that rotation induces significant modifications to the energy spectrum, removing degeneracies and generating oscillatory behaviors in magnetization akin to de Haas-van Alphen and Aharonov-Bohm-type oscillations. Furthermore, we observe an effect analogous to the magnetocaloric effect, where an increase in angular velocity leads to a decrease in temperature during adiabatic processes. These results reveal the potential of rotational effects to influence quantum systems and provide insights for future studies in mesoscopic physics.