A Qudit-native Framework for Discrete Time Crystals

Fuente: arXiv
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Main Authors: Ma, Wei-Guo, Fan, Heng, Zhang, Shi-Xin
Format: Preprint
Published: 2025
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author Ma, Wei-Guo
Fan, Heng
Zhang, Shi-Xin
author_facet Ma, Wei-Guo
Fan, Heng
Zhang, Shi-Xin
contents We introduce a qudit-native framework for engineering rich and robust discrete time crystals (DTCs) by leveraging their internal multilevel structure. Unlike in qubit systems, qudit-based DTCs exhibit distinct dynamical mechanisms that arise only in multilevel systems, as supported by a dressed normal-form analysis in the heating-suppression regime. These mechanisms are manifested in representative systems: we show that subspace-selective embedded kicks stabilize higher-order subharmonic responses and suppress thermalization, as demonstrated in spin-1 chains; in spin-3/2 systems, extending embedded kicks to more levels enables different level partitions and reveals that DTC robustness is dictated by the symmetry of the partition; and in spin-2 platforms, we realize concurrent 2T and 3T DTCs under a unified drive. These findings establish a systematic, hardware-efficient methodology for designing stable and multifunctional Floquet phases of matter on modern qudit-based quantum processors.
format Preprint
id arxiv_https___arxiv_org_abs_2512_04577
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Qudit-native Framework for Discrete Time Crystals
Ma, Wei-Guo
Fan, Heng
Zhang, Shi-Xin
Quantum Physics
We introduce a qudit-native framework for engineering rich and robust discrete time crystals (DTCs) by leveraging their internal multilevel structure. Unlike in qubit systems, qudit-based DTCs exhibit distinct dynamical mechanisms that arise only in multilevel systems, as supported by a dressed normal-form analysis in the heating-suppression regime. These mechanisms are manifested in representative systems: we show that subspace-selective embedded kicks stabilize higher-order subharmonic responses and suppress thermalization, as demonstrated in spin-1 chains; in spin-3/2 systems, extending embedded kicks to more levels enables different level partitions and reveals that DTC robustness is dictated by the symmetry of the partition; and in spin-2 platforms, we realize concurrent 2T and 3T DTCs under a unified drive. These findings establish a systematic, hardware-efficient methodology for designing stable and multifunctional Floquet phases of matter on modern qudit-based quantum processors.
title A Qudit-native Framework for Discrete Time Crystals
topic Quantum Physics
url https://arxiv.org/abs/2512.04577