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DY: Fachverband Dynamik und Statistische Physik
DY 66: Many-body Quantum Dynamics II
DY 66.6: Vortrag
Freitag, 20. März 2020, 11:15–11:30, HÜL 186
Local correlations in dual kicked models — •Daniel Waltner1, Boris Gutkin2, Petr Braun1, Maram Akila3, and Thomas Guhr1 — 1Fakultät für Physik, Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg, Germany — 2Department of Applied Mathematics, Holon Institute of Technology, 58102 Holon, Israel — 3Fraunhofer-Institutszentrum Schloss Birlinghoven, Schloss Birlinghoven, 53754 Sankt Augustin
Recent studies [1] have demonstrated that two-point correlations of local operators in unitary-dual circuit lattices are restricted to light cone edges. We show that for a wide class of dual kicked chain systems, built upon a pair of complex Hadamard matrices, the l-point correlators of strictly local, traceless operators vanish identically in the thermodynamic limit. On the other hand, non-local operators, generically, exhibit nontrivial correlations along the light cone edges. We obtain an explicit, analytic form of two-point correlators for operators supported at pairs of adjacent chain sites.
[1] B. Bertini, P. Kos, T. Prosen, Phys. Rev. Lett. 123, 210601 (2019).