Thermal Entropy in Calabi-Yau Quantum Mechanics
We consider the von Neumann entropy of a thermal mixed state in quantum systems derived from mirror curves, where the kinetic terms are exponential functions of the momentum operators. Using the mathematical results on the asymptotics of the energy eigenvalues, we compute the asymptotic entropy in h...
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| Published in: | Physics letters. B Vol. 846; p. 138231 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
10-11-2023
Elsevier |
| Online Access: | Get full text |
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| Summary: | We consider the von Neumann entropy of a thermal mixed state in quantum systems derived from mirror curves, where the kinetic terms are exponential functions of the momentum operators. Using the mathematical results on the asymptotics of the energy eigenvalues, we compute the asymptotic entropy in high temperature limit and compare with that of the conventional models. We discuss the connections with some folklores in quantum gravity, particularly on the finiteness of entropy. |
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| ISSN: | 0370-2693 1873-2445 |
| DOI: | 10.1016/j.physletb.2023.138231 |