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R'enyi and von Neumann entropies of thermal state in Generalized Uncertainty Principle-corrected harmonic oscillator | | MuSeong Kim
; Mi-Ra Hwang
; Eylee Jung
; DaeKil Park
; | | Date: |
4 Jun 2020 | | Abstract: | The R’{e}nyi and von Neumann entropies of the thermal state in the
generalized uncertainty principle (GUP)-corrected single harmonic oscillator
system are explicitly computed within the first order of the GUP parameter
$alpha$. While the von Neumann entropy with $alpha = 0$ exhibits a
monotonically increasing behavior in external temperature, the nonzero GUP
parameter makes the decreasing behavior of the von Neumann entropy at the large
temperature region. As a result, the von Neumann entropy is maximized at the
finite temperature if $alpha
eq 0$. The R’{e}nyi entropy $S_{gamma}$ with
nonzero $alpha$ also exhibits similar behavior at the large temperature
region. In this region the R’{e}nyi entropy exhibit decreasing behavior with
increasing the temperature. The decreasing rate becomes larger when the order
of the R’{e}nyi entropy $gamma$ is smaller. | | Source: | arXiv, 2006.2717 | | Services: | Forum | Review | PDF | Favorites | |
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