Academic Journal
Eigenstate thermalization scaling in approaching the classical limit
العنوان: | Eigenstate thermalization scaling in approaching the classical limit |
---|---|
المؤلفون: | Nakerst, G., Haque, M. |
المصدر: | Physical Review E |
سنة النشر: | 2021 |
المجموعة: | Max Planck Society: MPG.PuRe |
مصطلحات موضوعية: | Semiclassics and chaos in quantum systems |
الوصف: | According to the eigenstate thermalization hypothesis (ETH), the eigenstate-to-eigenstate fluctuations of expectation values of local observables should decrease with increasing system size. In approaching the thermodynamic limit-the number of sites and the particle number increasing at the same rate-the fluctuations should scale as similar to D-1/2 with the Hilbert space dimension D. Here, we study a different limit-the classical or semiclassical limit-by increasing the particle number in fixed lattice topologies. We focus on the paradigmatic Bose-Hubbard system, which is quantum-chaotic for large lattices and shows mixed behavior for small lattices. We derive expressions for the expected scaling, assuming ideal eigenstates having Gaussian-distributed random components. We show numerically that, for larger lattices, ETH scaling of physical midspectrum eigenstates follows the ideal (Gaussian) expectation, but for smaller lattices, the scaling occurs via a different exponent. We examine several plausible mechanisms for this anomalous scaling. |
نوع الوثيقة: | article in journal/newspaper |
وصف الملف: | application/pdf |
اللغة: | unknown |
Relation: | info:eu-repo/semantics/altIdentifier/arxiv/2012.06361; http://hdl.handle.net/21.11116/0000-0008-EC23-7; http://hdl.handle.net/21.11116/0000-0008-EC25-5 |
الاتاحة: | http://hdl.handle.net/21.11116/0000-0008-EC23-7 http://hdl.handle.net/21.11116/0000-0008-EC25-5 |
Rights: | info:eu-repo/semantics/openAccess ; http://creativecommons.org/licenses/by/4.0/ |
رقم الانضمام: | edsbas.7F807E3E |
قاعدة البيانات: | BASE |
الوصف غير متاح. |