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TT: Fachverband Tiefe Temperaturen
TT 19: Focus Session: New Routes to Localization and Quantum Non-Ergodicity II (joint session TT/DY)
TT 19.6: Talk
Monday, March 9, 2026, 16:30–16:45, CHE/0091
Scrambling signature of scars — •Thomas Michel1, Mathias Steinhuber2, Juan Diego Urbina2, and Peter Schlagheck1 — 1Université de Liège, Liège, Belgique — 2Universität Regensburg, Regensburg, Germany
We study signatures of scrambling, such as out-of-time-ordered correlators, that are associated with weakly unstable periodic orbits in a mixed or chaotic classical phase space, fulfilling Heller’s criterion [1] for the existence of scars. As verified within generic dynamical systems like the kicked rotor and the driven pendulum, evaluating scrambling observables for coherent states centred in phase space about such periodic orbits gives rise to characteristic scar features both in the short and long time regimes, the latter amounting to a significant amendment of the characteristic growth exponent with respect to the generic semiclassical prediction [2,3]. Extensions to many-body scars in Bose-Hubbard rings [4] are discussed.
[1] E. J. Heller, Phys. Rev. Lett. 53, 1515 (1984).
[2] J. Rammensee, J.-D. Urbina, and K. Richter, Phys. Rev. Lett. 121, 124101 (2018).
[3] T. R. Michel, J. Diego Urbina, and P. Schlagheck, J. Phys. A: Math. Theor. 58, 275303 (2025).
[4] Q. Hummel, K. Richter, and P. Schlagheck, Phys. Rev. Lett. 130, 250402 (2023).
Keywords: quantum scars; scrambling; chaos; out-of-time-ordered correlators