Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions

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	Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
	Qin, Xizhou 1; Ke, Yongguan 1; Guan, Xiwen 2,3; Li, Zhibing 1; Andrei, Natan 4; Lee, Chaohong 1
刊名	PHYSICAL REVIEW A
	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
内容类型	期刊论文
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).