### Quantum many-body scars (Note unusual place/time)

Mathematical Physics Seminar

25th April 2018, 2:00 pm – 3:00 pm

Physics, 3.34 Physics

Recent experiments on large chains of Rydberg atoms [H. Bernien et al.,Nature 551, 579 (2017)] have demonstrated the possibility of realizing 1D systems with locally constrained Hilbert spaces, along with some surprising signatures of non-ergodic dynamics, such as persistent oscillations following a quench from the Neel product state. I will argue that this phenomenon is a manifestation of a "quantum many-body scar", i.e., a concentration of extensively many eigenstates of the system around special many-body states. The special states are analogs of unstable classical periodic orbits in the single-particle quantum scars. I will present a model based on a single particle hopping on the Hilbert space graph, which quantitatively captures the scarred wave functions up to large systems of 32 atoms. These results suggest that scarred many-body bands give rise to a new universality class of quantum dynamics, which opens up opportunities for creating and manipulating novel states with long-lived coherence in systems that are now amenable to experimental study.

Christopher J. Turner, Alexios A. Michailidis, Dmitry A. Abanin, Maksym

Serbyn, Zlatko Papic, arXiv:1711.03528

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