Interactions Protect Periodically Driven Time Crystals Against Dephasing but Destabilise Multipolar-Driven Order
Abstract
We show that stronger interactions protect periodically driven time-crystal order against dephasing but destabilise order under random multipolar drives, and that coordination matters beyond the total interaction strength. We studied a disordered kicked Ising model of N=12 and $16$ spins with imperfect π pulses and per-site dephasing by exact diagonalisation, comparing a periodic drive, random multipolar drives of order n=0,1,2 and the Thue-Morse sequence, and separated coupling strength from coordination by comparing a grid with a ring at equal total interaction strength zJ. For the periodic drive the coherence time scales approximately as 1/γ, and stronger coupling reduces the transverse tilt on which dephasing acts. For multipolar drives of order n≥1, doubling the coupling on a ring shortens the coherence time to $0.54$ (n=1), $0.37$ (n=2) and $0.44$ (Thue-Morse) at N=16, while random signs (n=0) are unaffected. A disorder scan supports a toggling-frame picture in which interactions spoil the block cancellation of the pulse error. At equal zJ the grid outlives the ring by $2.15$ (N=12) and $2.78$ (N=16) for the periodic drive despite an identical transverse tilt, a coordination effect beyond this picture. All ratios hold under three definitions of the coherence time.
Related
- Symmetry Classification of Multipolar Orders in Crystals: Theory, Property Tensors and Automated Analysis with MagSymMultipoles
- Local Dephasing Sustains Continuous Time Crystals in a Spin-1/2 Ensemble
- Electronic conductivity in anharmonic crystals: Phonon dephasing in the electron-phonon interaction
- Structured light for addressable two-qubit gates in medium-sized ion crystals: modeling motional and dephasing errors
- Theory of two-dimensional Wigner crystals with defects: Interactions, melting transitions and collective modes
BibTeX
@misc{machiraju2026interactions,
title = {{Interactions Protect Periodically Driven Time Crystals Against Dephasing but Destabilise Multipolar-Driven Order}},
author = {Karthikeya Machiraju and Kaustav Bhowmick},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.33574},
eprint = {2609.33574},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.33574},
}
RIS
TY - UNPB
TI - Interactions Protect Periodically Driven Time Crystals Against Dephasing but Destabilise Multipolar-Driven Order
AU - Karthikeya Machiraju
AU - Kaustav Bhowmick
PY - 2026
DA - 2026/09/27
PB - arXiv
DO - 10.48550/arxiv.2609.33574
UR - https://arxiv.org/abs/2609.33574
AB - We show that stronger interactions protect periodically driven time-crystal order against dephasing but destabilise order under random multipolar drives, and that coordination matters beyond the total interaction strength. We studied a disordered kicked Ising model of N=12 and $16$ spins with imperfect π pulses and per-site dephasing by exact diagonalisation, comparing a periodic drive, random multipolar drives of order n=0,1,2 and the Thue-Morse sequence, and separated coupling strength from coordination by comparing a grid with a ring at equal total interaction strength zJ. For the periodic drive the coherence time scales approximately as 1/γ, and stronger coupling reduces the transverse tilt on which dephasing acts. For multipolar drives of order n≥1, doubling the coupling on a ring shortens the coherence time to $0.54$ (n=1), $0.37$ (n=2) and $0.44$ (Thue-Morse) at N=16, while random signs (n=0) are unaffected. A disorder scan supports a toggling-frame picture in which interactions spoil the block cancellation of the pulse error. At equal zJ the grid outlives the ring by $2.15$ (N=12) and $2.78$ (N=16) for the periodic drive despite an identical transverse tilt, a coordination effect beyond this picture. All ratios hold under three definitions of the coherence time.
ER -