Decoherence of Histories: Chaotic Versus Integrable Systems
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915331659792384 |
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| author | Wang, Jiaozi Strasberg, Philipp |
| author_facet | Wang, Jiaozi Strasberg, Philipp |
| contents | We study the emergence of decoherent histories in isolated systems based on exact numerical integration of the Schrödinger equation for a Heisenberg chain. We reveal that the nature of the system, which we switch from (i) chaotic to (ii) interacting integrable to (iii) non-interacting integrable, strongly impacts decoherence \new{of coarse spin observables}. From a finite size scaling law we infer a strong exponential suppression of coherences for (i), a weak exponential suppression for (ii) and no exponential suppression for (iii) on a relevant short (nonequilibrium) time scale. Moreover, for longer times we find stronger decoherence for (i) but the opposite for (ii), hinting even at a possible power-law decay for (ii) at equilibrium time scales. This behaviour is encoded in the multi-time properties of the quantum histories and it can not be explained by environmentally induced decoherence. Our results suggest that chaoticity plays a crucial role in the emergence of classicality in finite size systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15577 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Decoherence of Histories: Chaotic Versus Integrable Systems Wang, Jiaozi Strasberg, Philipp Statistical Mechanics General Relativity and Quantum Cosmology Quantum Physics We study the emergence of decoherent histories in isolated systems based on exact numerical integration of the Schrödinger equation for a Heisenberg chain. We reveal that the nature of the system, which we switch from (i) chaotic to (ii) interacting integrable to (iii) non-interacting integrable, strongly impacts decoherence \new{of coarse spin observables}. From a finite size scaling law we infer a strong exponential suppression of coherences for (i), a weak exponential suppression for (ii) and no exponential suppression for (iii) on a relevant short (nonequilibrium) time scale. Moreover, for longer times we find stronger decoherence for (i) but the opposite for (ii), hinting even at a possible power-law decay for (ii) at equilibrium time scales. This behaviour is encoded in the multi-time properties of the quantum histories and it can not be explained by environmentally induced decoherence. Our results suggest that chaoticity plays a crucial role in the emergence of classicality in finite size systems. |
| title | Decoherence of Histories: Chaotic Versus Integrable Systems |
| topic | Statistical Mechanics General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2406.15577 |