Taking the temperature of quantum many-body scars
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912649304866816 |
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| author | Burke, Phillip C. Dooley, Shane |
| author_facet | Burke, Phillip C. Dooley, Shane |
| contents | A quantum many-body scar is an eigenstate of a chaotic many-body Hamiltonian that exhibits two seemingly incongruous properties: its energy eigenvalue corresponds to a high temperature, yet its entanglement structure resembles that of low-temperature eigenstates, such as ground states. Traditionally, a temperature is assigned to an energy \emph{eigenvalue} through the textbook canonical temperature-energy relationship. However, in this work, we use the \emph{eigenstate subsystem temperature} -- a recently developed quantity that assigns a temperature to an energy eigenstate, based on the structure of its reduced density matrix. For a thermal state, the eigenstate subsystem temperature is approximately equal to its canonical temperature. Given that quantum many-body scars have a ground-state-like entanglement structure, it is not immediately clear that their eigenstate subsystem temperature would be close to their canonical temperature. Surprisingly, we find that this is the case: the quantum many-body scars have approximate ``knowledge'' of their position in the spectrum encoded within their state structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21884 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Taking the temperature of quantum many-body scars Burke, Phillip C. Dooley, Shane Quantum Physics Statistical Mechanics A quantum many-body scar is an eigenstate of a chaotic many-body Hamiltonian that exhibits two seemingly incongruous properties: its energy eigenvalue corresponds to a high temperature, yet its entanglement structure resembles that of low-temperature eigenstates, such as ground states. Traditionally, a temperature is assigned to an energy \emph{eigenvalue} through the textbook canonical temperature-energy relationship. However, in this work, we use the \emph{eigenstate subsystem temperature} -- a recently developed quantity that assigns a temperature to an energy eigenstate, based on the structure of its reduced density matrix. For a thermal state, the eigenstate subsystem temperature is approximately equal to its canonical temperature. Given that quantum many-body scars have a ground-state-like entanglement structure, it is not immediately clear that their eigenstate subsystem temperature would be close to their canonical temperature. Surprisingly, we find that this is the case: the quantum many-body scars have approximate ``knowledge'' of their position in the spectrum encoded within their state structure. |
| title | Taking the temperature of quantum many-body scars |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2503.21884 |