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Selective Population of Edge States in a 2D Topological Band System
Bogdan Galilo1, Derek K K Lee2, Ryan Barnett1
1Department of Mathematics, Imperial College London, London SW7 2AZ, United Kingdom.
Abstract:
We consider a system of interacting spin-one atoms in a hexagonal lattice under the presence of a synthetic gauge field. Quenching the quadratic Zeeman field is shown to lead to a dynamical instability of the edge modes. This, in turn, leads to a spin current along the boundary of the system which grows exponentially fast in time following the quench. Tuning the magnitude of the quench can be used to selectively populate edge modes of different momenta. Implications of the intrinsic symmetries of the Hamiltonian on the dynamics are discussed. The results hold for atoms with both antiferromagnetic and ferromagnetic interactions.
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