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Bulletin of the American Physical Society

Engineering topological defect patterns of Bose condensates in shaken optical lattices

Lei Feng, Logan W. Clark, Anita Gaj, Cheng Chin

Published Jun 8, 2017• 0 citations
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Shaping topological properties of the band structures in a shaken optical lattice

Shaoliang Zhang, Qi Zhou

The realization of band structures with nontrivial topological properties in an optical lattice is an exciting topic in current studies of ultracold atoms. Here we point out that this lofty goal can be achieved by using a simple scheme of shaking an optical lattice, which is directly applicable in current experiments. The photon-assisted band hybridization leads to the production of an effective spin-orbit coupling, in which the band index represents the pseudospin. When this spin-orbit coupling has finite strengths in multiple directions, nontrivial topological structures emerge in the Brillouin zone, such as topological defects with a winding number of 1 or 2 in a shaken square lattice. The shaken lattice also allows one to study the transition between two band structures with distinct topological properties.

arXiv:1403.0210•Physical Review A•Nov 6, 2014•48 citations

Bose-Einstein Condensates in Optical Lattices: Experiments

O. Morsch

Springer eBooks•Dec 29, 2007•0 citations

Subdiffractive solitons of Bose-Einstein condensates in time-dependent optical lattices

Kęstutis Staliūnas, Stefano Longhi

We study Bose-Einstein condensates trapped in periodically shaken shallow optical lattices, and demonstrate the existence of subdiffractive solitons, analogous to those encountered in periodically blinking lattices [K. Staliunas, R. Herrero, and G. J. de Valcarcel, Phys. Rev. E 73, 065603(R) (2006)]. We also show that solitons in periodically shaken optical lattices radiate weakly into the near-to-resonance modes. For typical experimental conditions, however, the soliton lifetime turns out to be much longer than the typical lifetime of the condensate, therefore the subdiffractive solitons are expected to be observable in periodically shaken shallow optical lattices.

Physical Review A•Sep 10, 2008•20 citations
The realization of band structures with nontrivial topological properties in an optical lattice is an exciting topic in current studies of ultracold atoms. Here we point out that this lofty goal can be achieved by using a simple scheme of shaking an optical lattice, which is directly applicable in current experiments. The photon-assisted band hybridization leads to the production of an effective spin-orbit coupling, in which the band index represents the pseudospin. When this spin-orbit coupling has finite strengths in multiple directions, nontrivial topological structures emerge in the Brillouin zone, such as topological defects with a winding number of 1 or 2 in a shaken square lattice. The shaken lattice also allows one to study the transition between two band structures with distinct topological properties.
We study Bose-Einstein condensates trapped in periodically shaken shallow optical lattices, and demonstrate the existence of subdiffractive solitons, analogous to those encountered in periodically blinking lattices [K. Staliunas, R. Herrero, and G. J. de Valcarcel, Phys. Rev. E 73, 065603(R) (2006)]. We also show that solitons in periodically shaken optical lattices radiate weakly into the near-to-resonance modes. For typical experimental conditions, however, the soliton lifetime turns out to be much longer than the typical lifetime of the condensate, therefore the subdiffractive solitons are expected to be observable in periodically shaken shallow optical lattices.