Dresden 2020 – wissenschaftliches Programm
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TT 23.2: Vortrag
Dienstag, 17. März 2020, 09:45–10:00, HSZ 204
Slow quantum thermalization and many body revivals from mixed phase space — •Alex Michailidis1, Chris Turner2, Dimitry Abanin3, Zlatko Papic2, and Maksym Serbyn1 — 1IST Austria, Klosterneuburg, Austria — 2University of Leeds, Leeds, United Kingdom — 3University of Geneva, Geneva, Switzerland
Isolated, interacting quantum systems thermalize when local measurements are distributed according to the Gibbs ensemble. The ability of an isolated quantum many body system to thermalize is tied to the absence of an extensive set of integrals of motion. The thermalization rate may, however, depend strongly on the initial state. A class of kinetically constraint systems [Nat. Phys. 14, 745 (2018)] displays such features, due to a set of quasi-eigenmodes, known as ``quantum many body scars", which form a slowly thermalizing subspace. The slow thermalization is also associated to an unstable periodic orbit in a slightly entangled manifold of matrix product states (MPS) [PRL 122, 040603 (2019)] .
First, by using tensor tree states (TTS) and ideas from standard mean field theory, we generalize the MPS ansatz to higher dimensions. We employ the time-dependent-variational-principle to analytically calculate the equations of motion for lattices of arbitrary connectivity. We find that the coherent oscillations in the quantum system are associated to stable periodic orbits in a mixed phase space. This method provides a new way to identify entangled states which display coherent dynamics. Finally, we associate slowly thermalizing states to regular ``islands" in the mixed phase space.