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Main Authors: Lin, Zhi-Xing, Lapierre, Bastien, Moosavi, Per, Ryu, Shinsei
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2502.04443
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author Lin, Zhi-Xing
Lapierre, Bastien
Moosavi, Per
Ryu, Shinsei
author_facet Lin, Zhi-Xing
Lapierre, Bastien
Moosavi, Per
Ryu, Shinsei
contents We investigate the nonequilibrium dynamics of periodically driven Tomonaga-Luttinger liquids (TLLs) coupled to a thermal bath using a Floquet-Lindblad approach. When the coupling to the bath satisfies detailed balance, we obtain a condition for parametric instabilities to be suppressed, symmetrically for both chiralities. Remarkably, by designing a purely chiral coupling to the bath, instead of instability suppression, we uncover a driven-dissipative phase transition between the former symmetric parametric instability and a new chiral parametric instability. In the latter, a single chirality of bosonic quasiparticles gets exponentially amplified, leading to a dynamical chiral imbalance within the TLL, reminiscent of the non-Hermitian skin effect.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04443
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chiral Instabilities in Driven-Dissipative Quantum Liquids
Lin, Zhi-Xing
Lapierre, Bastien
Moosavi, Per
Ryu, Shinsei
Statistical Mechanics
Quantum Gases
Strongly Correlated Electrons
We investigate the nonequilibrium dynamics of periodically driven Tomonaga-Luttinger liquids (TLLs) coupled to a thermal bath using a Floquet-Lindblad approach. When the coupling to the bath satisfies detailed balance, we obtain a condition for parametric instabilities to be suppressed, symmetrically for both chiralities. Remarkably, by designing a purely chiral coupling to the bath, instead of instability suppression, we uncover a driven-dissipative phase transition between the former symmetric parametric instability and a new chiral parametric instability. In the latter, a single chirality of bosonic quasiparticles gets exponentially amplified, leading to a dynamical chiral imbalance within the TLL, reminiscent of the non-Hermitian skin effect.
title Chiral Instabilities in Driven-Dissipative Quantum Liquids
topic Statistical Mechanics
Quantum Gases
Strongly Correlated Electrons
url https://arxiv.org/abs/2502.04443