Non-Abelian eigenstate thermalization hypothesis
| العنوان: | Non-Abelian eigenstate thermalization hypothesis |
|---|---|
| المؤلفون: | Chaitanya Murthy, Arman Babakhani, Fernando Iniguez, Mark Srednicki, Nicole Yunger Halpern |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | High Energy Physics - Theory, Quantum Physics, Condensed Matter - Strongly Correlated Electrons, Statistical Mechanics (cond-mat.stat-mech), Strongly Correlated Electrons (cond-mat.str-el), High Energy Physics - Theory (hep-th), Quantum Gases (cond-mat.quant-gas), FOS: Physical sciences, General Physics and Astronomy, Quantum Physics (quant-ph), Condensed Matter - Quantum Gases, Condensed Matter - Statistical Mechanics |
| الوصف: | The eigenstate thermalization hypothesis (ETH) explains why chaotic quantum many-body systems thermalize internally if the Hamiltonian lacks symmetries. If the Hamiltonian conserves one quantity ("charge"), the ETH implies thermalization within a charge sector -- in a microcanonical subspace. But quantum systems can have charges that fail to commute with each other and so share no eigenbasis; microcanonical subspaces may not exist. Furthermore, the Hamiltonian will have degeneracies, so the ETH need not imply thermalization. We adapt the ETH to noncommuting charges by positing a non-Abelian ETH and invoking the approximate microcanonical subspace introduced in quantum thermodynamics. Illustrating with SU(2) symmetry, we apply the non-Abelian ETH in calculating local observables' time-averaged and thermal expectation values. In many cases, we prove, the time average thermalizes. However, we also find cases in which, under a physically reasonable assumption, the time average converges to the thermal average unusually slowly as a function of the global-system size. This work extends the ETH, a cornerstone of many-body physics, to noncommuting charges, recently a subject of intense activity in quantum thermodynamics. 5 pages (+Supplementary Material: 11 pages). Final version published in Physical Review Letters |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf27dcb2732f77f27cd2692fd0201b8e http://arxiv.org/abs/2206.05310 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....cf27dcb2732f77f27cd2692fd0201b8e |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |