| 光晶格中多体极化子在Mott绝缘体区域的量子相 |
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| 引用本文： | 方家瑞,殷涛,贺亮.光晶格中多体极化子在Mott绝缘体区域的量子相[J].华南师范大学学报(自然科学版),2022,54(6):23-27. |
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| 作者姓名： | 方家瑞 殷涛 贺亮 |
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| 作者单位： | 1.华南师范大学物理与电信工程学院，广州 510006 |
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| 基金项目： | 国家自然科学基金项目11874017广东省自然科学基金项目2018A030313853 |
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| 摘 要： | 极化子是在玻色-爱因斯坦凝聚(BEC)背景下，光晶格中的玻色子与BEC声子库耦合形成的一种准粒子。通过Lang-Firsov变换得到极化子体系的有效哈密顿量，其形式为拓展的玻色-哈伯德模型。在Mott绝缘体区域，通过直接求解体系的哈密顿量得到了单组份极化子在填充数分别为1/2和1/4时的量子相；通过Hartree-Fock近似，进一步得到了双组份极化子在填充数分别为1/2和1/4时体系的量子相。研究预测了单组份和双组份极化子体系可能存在的非平庸量子相。
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| 关 键 词： | 光晶格 极化子 量子相 Mott绝缘区 |
| 收稿时间： | 2021-05-15 |
Quantum Phases of Many-Body Polaron in Mott Insulator Regime in Optical Lattice |
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| Institution: | 1.School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China2.Yuntao Quantum Technologies, Shenzhen 518000, China |
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| Abstract: | The quantum phases of many-body polaron was investigated in two-dimensional optical lattices in Mott Insulator regime. The polaron is a quasi-particle formed by the coupling between bosons in optical lattices and BEC phonons. The effective Hamiltonian of polarons is derived through Lang-Firsov transformation. The system can be described by extended Bose-Hubbard Model. In Mott Insulator regime, the Hamiltonian was solved directly so that the quantum phases of the system can be obtained for single-component case with filling factors of 1/2 and 1/4. By using Hartree-Fock approximation, more quantum phases for two-component case with filling factors of 1/2 and 1/4 can be found. Non-trivial quantum phases was predicted in single-component and two-component systems of polarons. |
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