Effects of rotation on the thermodynamic properties of a quantum dot
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917040849158144 |
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| author | Pereira, Luís Fernando C. Silva, Edilberto O. |
| author_facet | Pereira, Luís Fernando C. Silva, Edilberto O. |
| contents | 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 Schrödinger 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_02702 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effects of rotation on the thermodynamic properties of a quantum dot Pereira, Luís Fernando C. Silva, Edilberto O. Mesoscale and Nanoscale Physics Quantum Physics 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 Schrödinger 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. |
| title | Effects of rotation on the thermodynamic properties of a quantum dot |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2502.02702 |