Floquet engineering topological Dirac bands

Lu, Mingwu; Reid, G. H.; Fritsch, A. R.; Piñeiro, A. M.; Spielman, I. B.

doi:10.48550/arxiv.2202.05033

2022

DOI: 10.48550/arxiv.2202.05033

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Floquet engineering topological Dirac bands

Mingwu Lu¹,

G. H. Reid²,

A. R. Fritsch³

et al.

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“…The Zak phase has been previously measured using a special purpose interferometric technique with cold atom [9] and in photonic systems [10,11] and resonant circuits [12]. We employed a bipartite optical lattice [13,14] to realize the Rice-Mele (RM) Hamiltonian [15] ĤRM = j − J |j j| + J |j + 1 j| ⊗ |↓ ↑| + h.c.…”

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Observation of dynamical topology in 1D

Reid,

Lu,

Fritsch

et al. 2022

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Nontrivial topology in lattices is characterized by invariants-such as the Zak phase for onedimensional (1D) lattices-derived from wave functions covering the Brillouin zone. We realized the 1D bipartite Rice-Mele (RM) lattice using ultracold 87 Rb and focus on lattice configurations possessing various combinations of chiral, time-reversal and particle-hole symmetries. We quenched between configurations and used a form of quantum state tomography, enabled by diabatically tuning lattice parameters, to directly follow the time evolution of the Zak phase as well as a chiral winding number. The Zak phase evolves continuously; however, when chiral symmetry transiently appears in the out-of-equilibrium system, the chiral winding number is well defined and can take on different integer values. When quenching between two configurations obeying all three symmetries the Zak phase is time independent; we confirm the contrasting prediction of [M. McGinley and N. R.Cooper, PRL 121 090401 (2018)] that chiral symmetry is periodically restored, at which times the winding number changes by ±2, yielding values that are not present in the native RM Hamiltonian.

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confidence: 99%

Observation of dynamical topology in 1D

Reid,

Lu,

Fritsch

et al. 2022

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Floquet engineering topological Dirac bands

Cited by 1 publication

References 26 publications

Observation of dynamical topology in 1D

Observation of dynamical topology in 1D

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