Academic Journal

Eigenstate thermalization scaling in approaching the classical limit

التفاصيل البيبلوغرافية
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