Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice
Autor: | Chuan-Jia Shan, Ji-Pei Chen, Zheng Wang, Shi-Liang Zhu, Dan-Wei Zhang |
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Rok vydání: | 2013 |
Předmět: |
Physics
Condensed Matter::Quantum Gases Optical lattice Quantum Physics Zeeman effect Bose gas Condensed matter physics Skyrmion Degenerate energy levels FOS: Physical sciences Spin–orbit interaction Atomic and Molecular Physics and Optics Superfluidity symbols.namesake Quantum Gases (cond-mat.quant-gas) symbols Condensed Matter::Strongly Correlated Electrons Hamiltonian (quantum mechanics) Condensed Matter - Quantum Gases Quantum Physics (quant-ph) |
DOI: | 10.48550/arxiv.1301.2869 |
Popis: | We study ultracold bosonic atoms with the synthetic three-dimensional spin-orbit (SO) coupling in a cubic optical lattice. In the superfluidity phase, the lowest energy band exhibits one, two or four pairs of degenerate single-particle ground states depending on the SO-coupling strengths, which can give rise to the condensate states with spin-stripes for the weak atomic interactions. In the deep Mott-insulator regime, the effective spin Hamiltonian of the system combines three-dimensional Heisenberg exchange interactions, anisotropy interactions and Dzyaloshinskii-Moriya interactions. Based on Monte Carlo simulations, we numerically demonstrate that the resulting Hamiltonian with an additional Zeeman field has a rich phase diagram with spiral, stripe, vortex crystal, and especially Skyrmion crystal spin-textures in each xy-plane layer. The obtained Skyrmion crystals can be tunable with square and hexagonal symmetries in a columnar manner along the z axis, and moreover are stable against the inter-layer spin-spin interactions in a large parameter region. Comment: 9 pages, 4 figures; title modified, references and discussions added; accepted by PRA |
Databáze: | OpenAIRE |
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