Time-quasiperiodic topological superconductors with Majorana Multiplexing

Abstract

Time-quasiperiodic Majoranas are generalizations of Floquet Majoranas in time-quasiperiodic superconducting systems. We show that in a system driven at $d$ mutually irrational frequencies, there are up to $2^d$ types of such Majoranas, coexisting despite spatial overlap and lack of time-translational invariance. Although the quasienergy spectrum is dense in such systems, the time-quasiperiodic Majoranas can be stable and robust against resonances due to localization in the periodic-drives induced synthetic dimensions. This is demonstrated in a time-quasiperiodic Kitaev chain driven at two frequencies. We further relate the existence of multiple Majoranas in a time-quasiperiodic system to the time quasicrystal phase introduced recently. These time-quasiperiodic Majoranas open a new possibility for braiding which will be pursued in the future.

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Cited by in corpus (39)

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• Discrete Time Quasi-Crystals
• Topological classification of quasi-periodically driven quantum systems
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• Topological space-time crystal
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• Interacting topological frequency converter
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• Atomic Regional Superfluids in two-dimensional Moiré Time Crystals