Bose-Einstein condensate in an optical lattice with Raman-assisted two-dimensional spin-orbit coupling

Pan, Jian-Song; Zhang, Wei; Wu, Yi; Guo, Guang‐Can

doi:10.1103/physreva.94.043619

Cited by 27 publications

(18 citation statements)

References 29 publications

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“…3(b)). The fit gives the critical point as Ω c = 0.08 ± 0.02E r , consistent with the theoretical prediction Ω th = 0.09E r [45]. The experimental determination of Ω c , which is difficult in Ref.…”

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confidence: 84%

Highly Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases

et al. 2018

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We report the realization of a robust and highly controllable two-dimensional (2D) spin-orbit (SO) coupling with topological non-trivial band structure. By applying a retro-reflected 2D optical lattice, phase tunable Raman couplings are formed into the anti-symmetric Raman lattice structure, and generate the 2D SO coupling with precise inversion and C4 symmetries, leading to considerably enlarged topological regions. The life time of the 2D SO coupled Bose-Einstein condensate reaches several seconds, which enables the exploring of fine tuning interaction effects. These essential advantages of the present new realization open the door to explore exotic quantum many-body effects and non-equilibrium dynamics with novel topology.

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confidence: 84%

Highly Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases

et al. 2018

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“…Such symmetrybreaking term, negligible only when the Raman potential is weak compared with the square lattice depth, can generically induce the coupling between the s-band and higher band states. This effect is shown to be detrimental and can reduce the topological region of the s-band [148] [ Fig. 12(d,f)].…”

Section: Recent Improvement Of the Realization And Generalization mentioning

confidence: 99%

Spin-orbit Coupling and Topological Phases for Ultracold Atoms

Zhang

Liu

2018

Synthetic Spin-Orbit Coupling in Cold Atoms

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Cold atoms with laser-induced spin-orbit (SO) interactions provide promising platforms to explore novel quantum physics, in particular the exotic topological phases, beyond natural conditions of solids. The past several years have witnessed important progresses in both theory and experiment in the study of SO coupling and novel quantum states for ultracold atoms. Here we review the physics of the SO coupled quantum gases, focusing on the latest theoretical and experimental progresses of realizing SO couplings beyond one-dimension (1D), and the further investigation of novel topological quantum phases in such systems, including the topological insulating phases and topological superfluids. A pedagogical introduction to the SO coupling for ultracold atoms and topological quantum phases is presented. We show that the so-called optical Raman lattice schemes, which combine the creation of the conventional optical lattice and Raman lattice with topological stability, can provide minimal methods with high experimental feasibility to realize 1D to 3D SO couplings. The optical Raman lattices exhibit novel intrinsic symmetries, which enable the natural realization of topological phases belonging to different symmetry classes, with the topology being detectable through minimal measurement strategies. We introduce how the non-Abelian Majorana modes emerge in the SO coupled superfluid phases which can be topologically nontrivial or trivial, for which a few fundamental theorems are presented and discussed. The experimental schemes for achieving non-Abelian superfluid phases are given. Finally, we point out the future important issues in this rapidly growing research field. arXiv:1806.05628v1 [cond-mat.quant-gas]

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“…When the 1D optical lattice is deep enough and Ω R is not too large [56][57][58], we may take the single-band approximation and write down the corresponding tightbinding model…”

Section: Model and Hamiltonianmentioning

confidence: 99%

Interaction-induced exotic vortex states in an optical lattice clock with spin-orbit coupling

Zhou

Pan

et al. 2017

Phys. Rev. A

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Motivated by a recent experiment [L. F. Livi, et al., Phys. Rev. Lett. 117, 220401(2016)], we study the ground-state properties of interacting fermions in a one-dimensional optical lattice clock with spin-orbit coupling. As the electronic and the hyperfine-spin states in the clock-state manifolds can be treated as effective sites along distinct synthetic dimensions, the system can be considered as multiple two-leg ladders with uniform magnetic flux penetrating the plaquettes of each ladder. As the inter-orbital spin-exchange interactions in the clock-state manifolds couple individual ladders together, we show that exotic interaction-induced vortex states emerge in the coupled-ladder system, which compete with existing phases of decoupled ladders and lead to a rich phase diagram. Adopting the density matrix renormalization group approach, we map out the phase diagram, and investigate in detail the currents and the density-density correlations of the various phases. Our results reveal the impact of interactions on spin-orbit coupled systems, and are particularly relevant to the on-going exploration of spin-orbit coupled optical lattice clocks. arXiv:1707.02379v2 [cond-mat.quant-gas] 5 Sep 2017e x J ⊥ V / t J ⊥ σ J ⊥ α FIG. 6: (a) Phase diagram in the (U, Vex) plane. (b) The SDW order S and the ODW order O as well as the currents (c) J and (d) J ⊥ as functions of Vex/t. In all subfigures, Ω/t = 2, φ/π = 0.25, and n = 1, and (b)-(d) have the other parameter U/t = 1.

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Bose-Einstein condensate in an optical lattice with Raman-assisted two-dimensional spin-orbit coupling

Cited by 27 publications

References 29 publications

Highly Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases

Highly Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases

Spin-orbit Coupling and Topological Phases for Ultracold Atoms

Interaction-induced exotic vortex states in an optical lattice clock with spin-orbit coupling

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