一维无公度光晶格中硬核玻色子的基态和动力学性质
Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap
摘要：
研究了具有谐振子阱的一维无公度光晶格上强排斥玻色气体的性质，通过玻色-费米映射，用精确的数值方法处理了这些性质.我们首先研究了光晶格中的硬核玻色子随着无公度势的增加从超流到玻色玻璃相的相变。然后研究了突然关断谐波陷阱后系统的动力学性质。我们计算了静态和动态系统的单粒子密度矩阵、动量分布、自然轨道及其占据。我们的研究结果表明玻色玻璃相和超流相显示出完全不同的性质和膨胀动力学。
英文摘要：
We study properties of the strongly repulsive Bose gas on one-dimensional incommensurate optical lattices with a harmonic trap, which can be deal with by using the exact numerical method through the Bose-Fermi mapping. We first exploit the phase transition of the hard-core bosons in the optical lattices from superfluid-to-Bose-glass phase as the strength of the incommensurate potential increases. Then we study the dynamical properties of the system after suddenly switching off the harmonic trap. We calculate the one-particle density matrices, momentum distributions, the natural orbitals and their occupations for both the static and dynamic systems. Our results indicate that the Bose-glass phase and superfluid phase display quite different properties and expansion dynamics.
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