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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.18953 |
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| _version_ | 1866912292425170944 |
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| author | Ray, Rohit Kishan |
| author_facet | Ray, Rohit Kishan |
| contents | I show that for two inverse temperatures $β_1$ and $β_2$, the von Neumann entropy $S(ρ_β)$ of the Gibbs state $ρ_β$ for a given Hamiltonian $H$ satisfies $S(ρ_{β_1}) \geq S(ρ_{β_2}) \iff β_{1} \leq β_{2}$. That is, von Neumann entropy is a monotonically increasing function of temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18953 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on Von Neumann Entropy and the Ordering of Inverse Temperatures Ray, Rohit Kishan Quantum Physics Mathematical Physics I show that for two inverse temperatures $β_1$ and $β_2$, the von Neumann entropy $S(ρ_β)$ of the Gibbs state $ρ_β$ for a given Hamiltonian $H$ satisfies $S(ρ_{β_1}) \geq S(ρ_{β_2}) \iff β_{1} \leq β_{2}$. That is, von Neumann entropy is a monotonically increasing function of temperature. |
| title | Note on Von Neumann Entropy and the Ordering of Inverse Temperatures |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2503.18953 |