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DOI | 10.1038/s41467-017-01547-8 |
The Lyapunov spectra of quantum thermalisation | |
Hallam, A.; Morley, J. G.; Green, A. G. | |
2019-06-20 | |
发表期刊 | NATURE COMMUNICATIONS
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ISSN | 2041-1723 |
出版年 | 2019 |
卷号 | 10 |
文章类型 | Article |
语种 | 英语 |
国家 | England |
英文摘要 | Thermalisation in closed quantum systems occurs through a process of dephasing due to parts of the system outside of the window of observation, gradually revealing the underlying thermal nature of eigenstates. In contrast, closed classical systems thermalize due to dynamical chaos. We demonstrate a deep link between these processes. Projecting quantum dynamics onto variational states using the time-dependent variational principle, results in classical chaotic Hamiltonian dynamics. We study an infinite spin chain in two ways-using the matrix product state ansatz for the wavefunction and for the thermofield purification of the density matrix-and extract the full Lyapunov spectrum of the resulting dynamics. We show that the entanglement growth rate is related to the Kolmogorov-Sinai entropy of dynamics projected onto states with appropriate entanglement, extending previous results about initial entanglement growth to all times. The Lyapunov spectra for thermofield descriptions of thermalizing systems show a remarkable semi-circular distribution. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000472140100005 |
WOS关键词 | STATISTICAL-MECHANICS ; PERIODIC-ORBITS ; CHAOS |
WOS类目 | Multidisciplinary Sciences |
WOS研究方向 | Science & Technology - Other Topics |
URL | 查看原文 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/203554 |
专题 | 资源环境科学 |
作者单位 | UCL, London Ctr Nanotechnol, Gordon St, London WC1H 0AH, England |
推荐引用方式 GB/T 7714 | Hallam, A.,Morley, J. G.,Green, A. G.. The Lyapunov spectra of quantum thermalisation[J]. NATURE COMMUNICATIONS,2019,10. |
APA | Hallam, A.,Morley, J. G.,&Green, A. G..(2019).The Lyapunov spectra of quantum thermalisation.NATURE COMMUNICATIONS,10. |
MLA | Hallam, A.,et al."The Lyapunov spectra of quantum thermalisation".NATURE COMMUNICATIONS 10(2019). |
条目包含的文件 | 条目无相关文件。 |
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