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Thermal Entropy in Calabi-Yau Quantum Mechanics
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Thermal Entropy in Calabi-Yau Quantum Mechanics
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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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Cited by 1 Pith paper
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Gibbons-Hawking Entropy and BMN Strings
A proposed universal finite entropy bound for quantum gravity is introduced and linked to the Gibbons-Hawking entropy of our universe, with BMN strings suggested as an unresolved test.
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