Emergent discrete space-time crystal of Majorana-like quasiparticles in chiral liquid crystals

Fuente: arXiv
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Autores principales: Zhao, Hanqing, Zhang, Rui, Smalyukh, Ivan I.
Formato: Preprint
Publicado: 2025
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author Zhao, Hanqing
Zhang, Rui
Smalyukh, Ivan I.
author_facet Zhao, Hanqing
Zhang, Rui
Smalyukh, Ivan I.
contents Time crystals spontaneously break the time translation symmetry, as recently has been frequently reported in quantum systems. Here we describe the observation of classical analogues of both 1+1-dimensional and 2+1-dimensional discrete space-time crystals in a liquid crystal system driven by a Floquet electrical signal. These classical time crystals comprise particle-like structural features and exists over a wide range of temperatures and electrical driving conditions. The phenomenon-enabling period-doubling effect comes from their topological Majorana-like quasiparticle features, where periodic inter-transformations of co-existing topological solitons and disclinations emerge in response to external stimuli and play pivotal roles. Our discrete space-time crystals exhibit robustness against temporal perturbations and spatial defects, behaving like a time-crystalline analogues of a smectic phase. Our findings show that the simultaneous symmetry breaking in time and space can be a widespread occurrence in numerous open systems, not only in quantum but also in a classical soft matter context.
format Preprint
id arxiv_https___arxiv_org_abs_2507_16977
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Emergent discrete space-time crystal of Majorana-like quasiparticles in chiral liquid crystals
Zhao, Hanqing
Zhang, Rui
Smalyukh, Ivan I.
Soft Condensed Matter
Time crystals spontaneously break the time translation symmetry, as recently has been frequently reported in quantum systems. Here we describe the observation of classical analogues of both 1+1-dimensional and 2+1-dimensional discrete space-time crystals in a liquid crystal system driven by a Floquet electrical signal. These classical time crystals comprise particle-like structural features and exists over a wide range of temperatures and electrical driving conditions. The phenomenon-enabling period-doubling effect comes from their topological Majorana-like quasiparticle features, where periodic inter-transformations of co-existing topological solitons and disclinations emerge in response to external stimuli and play pivotal roles. Our discrete space-time crystals exhibit robustness against temporal perturbations and spatial defects, behaving like a time-crystalline analogues of a smectic phase. Our findings show that the simultaneous symmetry breaking in time and space can be a widespread occurrence in numerous open systems, not only in quantum but also in a classical soft matter context.
title Emergent discrete space-time crystal of Majorana-like quasiparticles in chiral liquid crystals
topic Soft Condensed Matter
url https://arxiv.org/abs/2507.16977