Central Charge of Periodically Driven Critical Kitaev Chains

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.

arXiv comment11 pages, 7 figures

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• Critical properties of the prethermal Floquet Time Crystal
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• Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
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• Disorder induced topological phase transition in a driven Majorana chain
• Majorana modes in trapped-ion system and their Floquet engineering
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