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理论物理通讯：英文版

Novel Quantum Phases of Ultracold Bosonic Atoms in Honeycomb Optical Lattice

陆青青, 侯净敏

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

我们在蜂房学习 ultracold 原子的量阶段转变光格子。在蜂房的 ultracold bosonic 原子的 Hamiltonian 光格子被导出。我们拿吝啬地的近似并且进一步与数字 diagonalization 方法解决 Hamiltonian。我们获得阶段图并且发现大草原上的树丛绝缘体(MI ) ，密度波浪(DW ) 和调制超流体(MS ) 分阶段执行出现。而且，阶段图根据顺序参数和粒子的平均数字被分析。

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我们在蜂房学习 ultracold 原子的量阶段转变光格子。在蜂房的 ultracold bosonic 原子的 Hamiltonian 光格子被导出。我们拿吝啬地的近似并且进一步与数字 diagonalization 方法解决 Hamiltonian。我们获得阶段图并且发现大草原上的树丛绝缘体(MI ) ，密度波浪(DW ) 和调制超流体(MS ) 分阶段执行出现。而且，阶段图根据顺序参数和粒子的平均数字被分析。
在这封信， superfluid-Mott-insulator 分阶段执行 two-speciescold bosonic 原子的转变在一光格子被学习。这个模型的 Hamiltonian 是 Bogliubov 转变并且由光格子的倒置对称的 diagonalizedby 工具，这个系统的精力光谱被获得。从刺激光谱的精力差距，量阶段转变条件被获得，它被在联合的 theinteratomic 排斥和隧道之间的比赛决定。在那里存在，这被发现当拿零波浪向量限制时，平常的液体分阶段执行。
We study the quantum phase transition of ultracold atoms in the honeycomb optical lattice. The Hamiltonian of ultracold bosonic atoms in the honeycomb optical lattice is derived. We take the mean-field approximation and further solve the Hamiltonian with the numerical diagonalization method. We obtain the phase diagram and find that the Mott-insulator (MI), density wave (DW) and modulated superfluid (MS) phases appear. Furthermore, the phase diagram is analyzed according to the order parameter and the average number of particles.
We study quantum phases of ultracold bosonic atoms in a two-dimensional optical superlattice. The extended Bose–Hubbard model derived from the system of ultracold bosonic atoms in an optical superlattice is solved numerically with the Gutzwiller approach. We find that the modulated superfluid (MS), Mott-insulator (MI) and density-wave (DW) phases appear in some regimes of parameters. The experimental detection of the first-order correlations and the second-order correlations of different quantum phases with time-of-flight and noise-correlation techniques is proposed.
Hexagonal optical lattices, emulating graphene and hexagonal boron nitride (h-BN) structures, provide a versatile platform for exploring strongly correlated quantum matter. Using continuous-space exact diagonalization and quantum Monte Carlo simulations, we investigate the phase diagrams of ultracold bosons in honeycomb and h-BN lattices. For the honeycomb lattice, we find significant deviations from the standard Bose--Hubbard model even for strong lattice amplitudes. We observe suppressed Mott insulator lobes and the absence of higher-order insulating phases, which we attribute to strong density-assisted tunneling effects. In the h-BN case, a rich phase diagram emerges, featuring multiple Mott lobes with various sublattice occupations, driven by the interplay of lattice asymmetry, interactions, and particle filling. Our results highlight the necessity of continuous-space treatments for capturing the full complexity of bosonic quantum phases in hexagonal geometries, paving the way for experimental realizations with ultracold atoms and further theoretical work.