Momentum-space modulated symmetries in the Luttinger liquid
Author(s)
Chaduteau, Alexandre
Raess, Nyan
Davenport, Henry
Schindler, Frank
Type
Journal Article
Abstract
The chiral Luttinger liquid develops quantum chaos as soon as a—however slight—nonlinear dispersion is introduced for the microscopic electronic degrees of freedom. For this nonlinear version of the model, we identify an infinite family of translation-invariant interaction potentials with corresponding modulated symmetries. These symmetries are highly unconventional: they are modulated in momentum space (and do not seem to have an easy physical interpretation). We develop a systematic understanding of these symmetries and study the resulting blocks in the Hamiltonian. In particular, this approach allows us to predict the analytic Hamiltonian block sizes and derive asymptotic scaling laws in the limit of large total momentum. These blocks are reminiscent of Hilbert space fragmentation in that, even though they are labeled by a symmetry, this symmetry is highly nonlocal and does not have a simple interpretation. We corroborate this result by studying entanglement entropy and level statistics.
Date Issued
2025-04-15
Date Acceptance
2025-03-11
Citation
Physical Review B, 2025, 111 (16)
ISSN
2469-9950
Publisher
American Physical Society (APS)
Journal / Book Title
Physical Review B
Volume
111
Issue
16
Copyright Statement
Published by the American Physical Society 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.
License URL
Identifier
10.1103/PhysRevB.111.165105
Publication Status
Published
Article Number
165105
Date Publish Online
2025-04-02