Many-body mobility edge in quantum sun models

Letter

Many-body mobility edge in quantum sun models

Konrad Pawlik, Piotr Sierant, Lev Vidmar, and Jakub Zakrzewski

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

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.

Received 6 August 2023
Revised 14 April 2024
Accepted 3 May 2024

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

Physics Subject Headings (PhySH)

Eigenstate thermalization Information scrambling Localization Percolation Phase transitions Quantum quench Quantum statistical mechanics Quantum transport Spin dynamics

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Konrad Pawlik ^1,2,*, Piotr Sierant ³, Lev Vidmar ^4,5, and Jakub Zakrzewski ^2,6,†

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

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Issue

Vol. 109, Iss. 18 — 1 May 2024

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