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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2504.01556 |
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| _version_ | 1866913772419940352 |
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| author | Kaikov, Oleg |
| author_facet | Kaikov, Oleg |
| contents | We study thermalization within a quantum system with an enhanced capacity to store information. This system has been recently introduced to provide a prototype model of how a black hole processes and stores information. We perform a numerical finite-size analysis of this isolated quantum system and find indications that its information-carrying subsystem approaches thermality in the large system-size limit. The results lead us to suggest a novel thermalization mechanism. The corresponding distinguishing characteristic is that for a large class of physically meaningful non-equilibrium initial states $| \text{in} \rangle$, a few-body observable $\hat{A}$ thermalizes despite unignorable correlations between the fluctuations of its eigenstate expectation values $\langle α| \hat{A} | α\rangle$ in the eigenstate basis of the model $\left\{ | α\rangle \right\}$ and the fluctuations of the squared magnitudes of the coefficients $|C_α|^2 = |\langle α| \text{in} \rangle |^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01556 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermalization in a model of enhanced memory capacity Kaikov, Oleg Quantum Physics We study thermalization within a quantum system with an enhanced capacity to store information. This system has been recently introduced to provide a prototype model of how a black hole processes and stores information. We perform a numerical finite-size analysis of this isolated quantum system and find indications that its information-carrying subsystem approaches thermality in the large system-size limit. The results lead us to suggest a novel thermalization mechanism. The corresponding distinguishing characteristic is that for a large class of physically meaningful non-equilibrium initial states $| \text{in} \rangle$, a few-body observable $\hat{A}$ thermalizes despite unignorable correlations between the fluctuations of its eigenstate expectation values $\langle α| \hat{A} | α\rangle$ in the eigenstate basis of the model $\left\{ | α\rangle \right\}$ and the fluctuations of the squared magnitudes of the coefficients $|C_α|^2 = |\langle α| \text{in} \rangle |^2$. |
| title | Thermalization in a model of enhanced memory capacity |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.01556 |