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Quantum Physics
Title: Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
(Submitted on 19 Jan 2023 (v1), last revised 23 May 2023 (this version, v2))
Abstract: Floquet topological systems have been shown to exhibit features not commonly found in conventional topological systems such as topological phases characterized by arbitrarily large winding numbers. This is clearly highlighted in the quantum double kicked rotor coupled to spin-1/2 degrees of freedom [Phys. Rev. A 97, 063603 (2018)] where large winding numbers are achieved by tuning the kick strengths. Here, we extend the results to the spin-1/2 quantum double kicked top and find not only does the system exhibit topological regions with large winding numbers, but a large number of them are needed to fully characterize the topology of the Bloch sphere of the top for general kick strengths. Due to the geometry of the Bloch sphere it is partitioned into regions with different topology and the boundaries separating them are home to 0 and $\pi$ quasienergy bound states. We characterize the regions by comparing local versions of the mean field, quantum and mean chiral displacement winding numbers. We also use a probe state to locate the boundaries by observing localization as the state evolves when it has a large initial overlap with bound states. Finally, we briefly discuss the connections between the spin-1/2 quantum double kicked top and multi-step quantum walks, putting the system in the context of some current experiments in the exploration of topological phases.
Submission history
From: Jesse Mumford [view email][v1] Thu, 19 Jan 2023 18:36:46 GMT (1778kb,D)
[v2] Tue, 23 May 2023 20:47:15 GMT (1934kb,D)
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