Jeyaretnam, Jared;
Turner, Christopher J;
Pal, Arijeet;
(2023)
Renormalization view on resonance proliferation between many-body localized phases.
Physical Review B
, 108
(9)
, Article 094205. 10.1103/physrevb.108.094205.
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Abstract
Topology and many-body localization (MBL) have opened new avenues for preserving quantum information at finite energy density. Resonant delocalization plays a crucial role in destabilizing these phenomena. In this paper, we study the statistical properties of many-body resonances in a disordered interacting Ising model—which can host symmetry-protected topological order—using a Clifford circuit encoding of the real-space renormalization group which allows the resonant properties of the wave functions to be efficiently characterized. Our findings show that both the trivial and topologically ordered MBL phases remain stable in the presence of the resonances but, in the vicinity of the transition between them, localization is destabilized by resonance proliferation. Diverging susceptibility towards the development of an avalanche instability suggests an intervening ergodic phase. We are also able to access the local integrals of motion in the MBL phases and identify the topological edge-mode operators in the ordered phase. Our results have important implications for the stability of MBL and phase transitions between distinct MBL phases with and without symmetries.
| Type: | Article |
|---|---|
| Title: | Renormalization view on resonance proliferation between many-body localized phases |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physrevb.108.094205 |
| Publisher version: | https://doi.org/10.1103/PhysRevB.108.094205 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10177005 |
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