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Main Authors: Yang, Ang, Chen, Zekai, Guo, Yanliang, Landini, Manuele, Nägerl, Hanns-Christoph, Ying, Lei
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.04683
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author Yang, Ang
Chen, Zekai
Guo, Yanliang
Landini, Manuele
Nägerl, Hanns-Christoph
Ying, Lei
author_facet Yang, Ang
Chen, Zekai
Guo, Yanliang
Landini, Manuele
Nägerl, Hanns-Christoph
Ying, Lei
contents The question of whether interactions can break dynamical localization in quantum kicked rotor systems has been the subject of a long--standing debate. Here, we introduce an extended mapping from the kicked Lieb--Liniger model to a high--dimensional lattice model and reveal universal features: on--site pseudorandomness and hybrid exponential--algebraic decay couplings with increasing momenta. We find that the exponent and the amplitude of the algebraic decay undergo a crossover as the interaction strength increases. This mapping uncovers the origin of dynamical localization and the interaction effect on the integrability of the system. An analysis of the generalized fractal dimension and level--spacing ratio supports these findings, highlighting the presence of near integrability and multifractality in different regions of parameter space. Our results offer an explanation for the occurrence of many--body dynamical localization, particularly in strongly correlated quantum gases, and are anticipated to generalize to systems of many particles.
format Preprint
id arxiv_https___arxiv_org_abs_2503_04683
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Origin and emergent features of many-body dynamical localization
Yang, Ang
Chen, Zekai
Guo, Yanliang
Landini, Manuele
Nägerl, Hanns-Christoph
Ying, Lei
Quantum Gases
The question of whether interactions can break dynamical localization in quantum kicked rotor systems has been the subject of a long--standing debate. Here, we introduce an extended mapping from the kicked Lieb--Liniger model to a high--dimensional lattice model and reveal universal features: on--site pseudorandomness and hybrid exponential--algebraic decay couplings with increasing momenta. We find that the exponent and the amplitude of the algebraic decay undergo a crossover as the interaction strength increases. This mapping uncovers the origin of dynamical localization and the interaction effect on the integrability of the system. An analysis of the generalized fractal dimension and level--spacing ratio supports these findings, highlighting the presence of near integrability and multifractality in different regions of parameter space. Our results offer an explanation for the occurrence of many--body dynamical localization, particularly in strongly correlated quantum gases, and are anticipated to generalize to systems of many particles.
title Origin and emergent features of many-body dynamical localization
topic Quantum Gases
url https://arxiv.org/abs/2503.04683