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  • Letter

Many-body mobility edge in quantum sun models

Konrad Pawlik1,2,*, Piotr Sierant3, Lev Vidmar4,5, and Jakub Zakrzewski2,6,†

  • 1Szkoła Doktorska Nauk Ścisłych i Przyrodniczych, Uniwersytet Jagielloński, ulica Stanisława Łojasiewicza 11, PL-30-348 Kraków, Poland
  • 2Instytut Fizyki Teoretycznej, Wydział Fizyki, Astronomii i Informatyki Stosowanej, Uniwersytet Jagielloński, ulica Stanisława Łojasiewicza 11, PL-30-348 Kraków, Poland
  • 3ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, Av. Carl Friedrich Gauss 3, 08860 Castelldefels (Barcelona), Spain
  • 4Department of Theoretical Physics, J. Stefan Institute, SI-1000 Ljubljana, Slovenia
  • 5Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia
  • 6Mark Kac Complex Systems Research Center, Jagiellonian University in Krakow, PL-30-348 Kraków, Poland

  • *konrad.pawlik@doctoral.uj.edu.pl
  • †jakub.zakrzewski@uj.edu.pl

Phys. Rev. B 109, L180201 – Published 13 May, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L180201

Abstract

The quantum sun model is an interacting model that exhibits sharp signatures of ergodicity breaking phase transition. Here, we show that the model exhibits a many-body mobility edge. We provide analytical arguments for its existence, complemented by the state-of-the-art numerical simulations analyzing gap ratios, Thouless times as well as entanglement entropy of eigenstates. We also introduce the quantum sun model with particle number conservation and argue that it shares many similarities with its unrestricted predecessor.

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