Anomalous multi-gap topological phases in periodically driven quantum rotors

Fuente: arXiv
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Autori principali: Karle, Volker, Lemeshko, Mikhail, Bouhon, Adrien, Slager, Robert-Jan, Ünal, F. Nur
Natura: Preprint
Pubblicazione: 2024
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author Karle, Volker
Lemeshko, Mikhail
Bouhon, Adrien
Slager, Robert-Jan
Ünal, F. Nur
author_facet Karle, Volker
Lemeshko, Mikhail
Bouhon, Adrien
Slager, Robert-Jan
Ünal, F. Nur
contents We demonstrate that periodically driven quantum rotors provide a promising and broadly applicable platform to implement multi-gap topological phases, where groups of bands can acquire topological invariants due to non-Abelian braiding of band degeneracies. By adiabatically varying the periodic kicks to the rotor we find nodal-line braiding, which causes sign flips of topological charges of band nodes and can prevent them from annihilating, indicated by non-zero values of the %non-Abelian patch Euler class. In particular, we report on the emergence of an anomalous Dirac string phase arising in the strongly driven regime, a truly out-of-equilibrium phase of the quantum rotor. This phase emanates from braiding processes involving all (quasienergy) gaps and manifests itself with edge states at zero angular momentum. Our results reveal direct applications in state-of-the-art experiments of quantum rotors, such as linear molecules driven by periodic far-off-resonant laser pulses or artificial quantum rotors in optical lattices, whose extensive versatility offers precise modification and observation of novel non-Abelian topological properties.
format Preprint
id arxiv_https___arxiv_org_abs_2408_16848
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Anomalous multi-gap topological phases in periodically driven quantum rotors
Karle, Volker
Lemeshko, Mikhail
Bouhon, Adrien
Slager, Robert-Jan
Ünal, F. Nur
Quantum Physics
Mesoscale and Nanoscale Physics
Quantum Gases
Atomic and Molecular Clusters
Atomic Physics
We demonstrate that periodically driven quantum rotors provide a promising and broadly applicable platform to implement multi-gap topological phases, where groups of bands can acquire topological invariants due to non-Abelian braiding of band degeneracies. By adiabatically varying the periodic kicks to the rotor we find nodal-line braiding, which causes sign flips of topological charges of band nodes and can prevent them from annihilating, indicated by non-zero values of the %non-Abelian patch Euler class. In particular, we report on the emergence of an anomalous Dirac string phase arising in the strongly driven regime, a truly out-of-equilibrium phase of the quantum rotor. This phase emanates from braiding processes involving all (quasienergy) gaps and manifests itself with edge states at zero angular momentum. Our results reveal direct applications in state-of-the-art experiments of quantum rotors, such as linear molecules driven by periodic far-off-resonant laser pulses or artificial quantum rotors in optical lattices, whose extensive versatility offers precise modification and observation of novel non-Abelian topological properties.
title Anomalous multi-gap topological phases in periodically driven quantum rotors
topic Quantum Physics
Mesoscale and Nanoscale Physics
Quantum Gases
Atomic and Molecular Clusters
Atomic Physics
url https://arxiv.org/abs/2408.16848