Central Charge of Periodically Driven Critical Kitaev Chains

Physical Review Letters
Daniel YatesAditi Mitra

Abstract

Periodically driven Kitaev chains show a rich phase diagram as the amplitude and frequency of the drive is varied, with topological phase transitions separating regions with different number of Majorana zero and π modes. We explore whether the critical point separating different phases of the periodically driven chain may be characterized by a universal central charge. We affirmatively answer this question by studying the entanglement entropy (EE) numerically and analytically for the lowest entangled many particle eigenstate at arbitrary nonstroboscopic and stroboscopic times. We find that the EE at the critical point scales logarithmically with a time-independent central charge, and that the Floquet micromotion gives only subleading corrections to the EE. This result also generalizes to multicritical points where the EE is found to have a central charge that is the sum of the central charges of the intersecting critical lines.

References

Jul 15, 2003·Physical Review Letters·G VidalA Kitaev
Feb 21, 2006·Physical Review Letters·Michael M Wolf
Apr 12, 2006·Physical Review Letters·Dimitri Gioev, Israel Klich
Apr 12, 2006·Physical Review Letters·Alexei Kitaev, John Preskill
Apr 12, 2006·Physical Review Letters·Michael Levin, Xiao-Gang Wen

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Citations

Apr 29, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Huan-Yu WangWu-Ming Liu
Mar 13, 2021·Physical Review Letters·Zhesen YangDong E Liu

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