Geometric effects in the effective-mass theory and topological optical superlattices

Li, Chao-Kai; Niu, Qian; Feng, Ji

doi:10.1103/physreva.98.041603

Title: Geometric effects in the effective-mass theory and topological optical superlattices

Journal Article · Wed Oct 31 00:00:00 EDT 2018 · Physical Review A

DOI:https://doi.org/10.1103/physreva.98.041603· OSTI ID:1614565

Li, Chao-Kai ^[1]; Niu, Qian ^[2]; Feng, Ji ^[3]

Peking Univ., Beijing (China)
Univ. of Texas, Austin, TX (United States)
Peking Univ., Beijing (China); Collaborative Innovation Center of Quantum Matter, Beijing (China); Univ. of Chinese Academy of Sciences, Beijing (China)

Cold atoms tailored by an optical lattice have become a fascinating arena for simulating quantum physics. In this area, one important and challenging problem is creating effective spin-orbit coupling (SOC), especially for fashioning a cold atomic gas into a topological phase, for which prevailing approaches mainly rely on the Raman coupling between the atomic internal states and a laser field. Herein, a strategy for realizing effective SOC is proposed by exploiting the geometric effects in the effective-mass theory, without resorting to internal atomic states. Furthermore, it is shown that the geometry of Bloch states can have nontrivial effects on the wave-mechanical states under external fields, leading to effective SOC and an effective Darwin term, which have been neglected in the standard effective-mass approximation. It is demonstrated that these relativisticlike effects can be employed to introduce effective SOC in a two-dimensional optical superlattice, and induce a nontrivial topological phase.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG03-02ER45958

OSTI ID:: 1614565

Alternate ID(s):: OSTI ID: 1480152

Journal Information:: Physical Review A, Vol. 98, Issue 4; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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