Dresden 2020 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 36: Many-body Systems: Equilibration, Chaos and Localization II (joint session DY/TT)

TT 36.9: Vortrag

Mittwoch, 18. März 2020, 11:45–12:00, HÜL 186

Periodic projections in quantum spin chains — •S. Harshini Tekur1, Arnd Bäcker2, 1, and David J. Luitz11MPI für Physik komplexer Systeme, Dresden — 2TU Dresden, Institut für Theoretische Physik

We investigate a new class of systems where a driven, disordered spin chain is opened by the addition of a periodic projection at one end of the chain, in analogy with classical or quantum maps with escape. The evolution operator over one period then becomes sub-unitary with a complex spectrum inside the unit circle. This class of systems exhibits several interesting properties, which we demonstrate by studying its level statistics, entanglement dynamics and spectral features like exceptional points which are unique to non-normal matrices. These may also be experimentally realized in a set-up where certain configurations of the spin chain are post-selected after a measurement.

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