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DY: Fachverband Dynamik und Statistische Physik
DY 3: Focus Session: Quantum Interactive Dynamics I (joint session DY/TT)
DY 3.8: Vortrag
Montag, 18. März 2024, 12:00–12:15, A 151
Universal correlations in mesoscopic many-body systems: Berry's Random Wave Model in Fock space — •Florian Schöppl1,2, Rémy Dubertrand2, Juan Diego Urbina2, and Klaus Richter2 — 1Northumbria University, NE1 8ST Newcastle upon Tyne, United Kingdom — 2Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
A complete characterization of quantum signatures of (mean-field) chaos in interacting many-body systems requires, besides the widely used universality of spectral correlations, the analysis of the corresponding universality for eigenstate correlations in Fock space.
We lift the concepts and techniques that characterize this universality in first-quantized systems, introduced by Berry [1] into the realm of interacting bosonic fields in [2]. The existence of a classical (mean-field) limit allows us to use of many-body semiclassical methods [3].
We employ them to investigate the universal statistical features of eigenstate correlations in Bose-Hubbard models.
[1] M. V. Berry, "Regular and irregular semiclassical wavefunctions", Journal of Physics A: Mathematical and General 10, 2083 (1977). [2] R. Dubertrand, F. Schöppl, J. D. Urbina, K. Richter, "Universal correlations in chaotic many-body quantum states: Fock space formulation of Berry*s random wave model", preprint (2023). [3] K.Richter, J.D. Urbina, S. Tomsovic. "Semiclassical roots of universality in many-body quantum chaos",J. Phys. A: Math. Theor. 55 453001 (2022)
Keywords: Quantum Chaos; Interacting many-body systems; Semiclassics; Bose-Hubbard; Universal correlations