An information-theoretic proof of the Planckian bound for thermalization
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911020292767744 |
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| author | Abiuso, Paolo Rolandi, Alberto Calsamiglia, John Sekatski, Pavel Perarnau-Llobet, Martí |
| author_facet | Abiuso, Paolo Rolandi, Alberto Calsamiglia, John Sekatski, Pavel Perarnau-Llobet, Martí |
| contents | We demonstrate that quantum mechanics entails a fundamental lower bound on the thermalization time $τ$ of any system. At finite temperature, we show that $τ$ is bounded by half the Planckian dissipation time, $τ\geq τ_{\rm Pl}/2$ with $τ_{\rm Pl} = \hbar/(k_{\rm B} T)$. In the low-temperature regime, our bound takes the form $τ\geq \hbar / Δ$ with $Δ$ the spectral gap, in close connection with the quantum adiabatic theorem. These bounds, rooted in Hamiltonian estimation, hold for arbitrary quantum processes that output states close to the corresponding thermal ensemble for a nontrivial class of Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An information-theoretic proof of the Planckian bound for thermalization Abiuso, Paolo Rolandi, Alberto Calsamiglia, John Sekatski, Pavel Perarnau-Llobet, Martí Quantum Physics Statistical Mechanics We demonstrate that quantum mechanics entails a fundamental lower bound on the thermalization time $τ$ of any system. At finite temperature, we show that $τ$ is bounded by half the Planckian dissipation time, $τ\geq τ_{\rm Pl}/2$ with $τ_{\rm Pl} = \hbar/(k_{\rm B} T)$. In the low-temperature regime, our bound takes the form $τ\geq \hbar / Δ$ with $Δ$ the spectral gap, in close connection with the quantum adiabatic theorem. These bounds, rooted in Hamiltonian estimation, hold for arbitrary quantum processes that output states close to the corresponding thermal ensemble for a nontrivial class of Hamiltonians. |
| title | An information-theoretic proof of the Planckian bound for thermalization |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2506.19188 |