Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
文献类型:期刊论文
作者 | Qin, Xizhou1; Ke, Yongguan1; Guan, Xiwen2,3; Li, Zhibing1; Andrei, Natan4; Lee, Chaohong1 |
刊名 | PHYSICAL REVIEW A
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出版日期 | 2014-12-01 |
卷号 | 90期号:6 |
英文摘要 | We investigate continuous-time quantumwalks of two indistinguishable particles [two bosons, or two fermions, or two hard-core bosons (HCBs)] in one-dimensional lattices with nearest-neighbor interactions. The results for two HCBs are consistent with the recent experimental observation of two-magnon dynamics [Fukuhara et al., Nature (London) 502, 76 (2013)]. The two interacting particles can undergo independent walking and/or co-walking depending on both quantum statistics and interaction strength. Two strongly interacting particles may form a bound state and then co-walk like a single composite particle with a statistics-dependent walk speed. Analytical solutions for the scattering and bound states, which appear in the two-particle quantum walks, are obtained by solving the eigenvalue problem in the two-particle Hilbert space. In the context of degenerate perturbation theory, an effective single-particle model for the quantum co-walking is analytically derived and the walk speed of bosons is found to be exactly three times that of fermions and HCBs. Our result paves the way for experimentally exploring quantum statistics via two-particle quantum walks. |
WOS标题词 | Science & Technology ; Physical Sciences |
类目[WOS] | Optics ; Physics, Atomic, Molecular & Chemical |
研究领域[WOS] | Optics ; Physics |
关键词[WOS] | OPTICAL LATTICE ; PHOTONIC LATTICES ; BOUND-STATES ; DYNAMICS ; COMPUTATION ; BOSONS ; MODEL |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000346385900010 |
公开日期 | 2015-07-14 |
源URL | [http://ir.wipm.ac.cn/handle/112942/1502] ![]() |
专题 | 武汉物理与数学研究所_理论与交叉研究部 |
作者单位 | 1.Sun Yat Sen Univ, Sch Phys & Engn, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Guangdong, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Peoples R China 3.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia 4.Rutgers State Univ, Dept Phys, Piscataway, NJ 08854 USA |
推荐引用方式 GB/T 7714 | Qin, Xizhou,Ke, Yongguan,Guan, Xiwen,et al. Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions[J]. PHYSICAL REVIEW A,2014,90(6). |
APA | Qin, Xizhou,Ke, Yongguan,Guan, Xiwen,Li, Zhibing,Andrei, Natan,&Lee, Chaohong.(2014).Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions.PHYSICAL REVIEW A,90(6). |
MLA | Qin, Xizhou,et al."Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions".PHYSICAL REVIEW A 90.6(2014). |
入库方式: OAI收割
来源:武汉物理与数学研究所
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