深圳大学学报（理工版）Issue(1)：1-7,7.DOI:10.3724/SP.J.1249.2015.01001
两全同粒子在一维光晶格中的量子行走
Quantum walks of two identical particles in one-dimensional lattices
摘要
Abstract
Based on one-dimensional lattices with periodic boundary conditions, we investigate the two-particle correlations, the correlation fluctuations, and the density distributions as well as the dynamic evolutions of the bosonic system governed by Bose-Einstein statistics, the fermionic system governed by Fermi-Dirac statistics, and the hard-core bosonic system, respectively. The dependences of independent walking and co-walking for two interacting particles on both quantum statistics and interaction strength are calculated. The results show that the particles move to the edge of the lattice with the increase of time in position space. Specifically, for zero interaction, bosonic correlations exhibit bunching but with a specific “in-out” correlation symmetry, while the fermionic correlations ( hard-core bosonic correlations ) are transformed into a ring-like pattern. However, two particles in the bosonic system and fermionic system ( hard-core bosonic system) start to occupy adjacent lattice sites separated by one site and stick together when they are co-walking with increasing interaction. The correlations in the three systems are nearly the same under strong interactions and are the same with correlation fluctuations and density distributions. In momentum space, the quantum statistical natures for two bosonic ( hard-core bosonic) walkers and two fermionic walkers result in the emergence of bunching and anti-bunching in two-particle quantum walks ( QWs) , respectively. In short, the results pave the way for exploring quantum statistics and can be used as evidences for the repulsively bound state observed experimentally.关键词
凝聚态物理/光晶格模型/量子行走/量子统计/动力学演化/两粒子关联/关联涨落Key words
condensed matter physics/lattice model/quantum walk/quantum statistics/dynamic evolution/two particle correlation/correlation fluctuation分类
数理科学引用本文复制引用
张云波,王丽敏,王利..两全同粒子在一维光晶格中的量子行走[J].深圳大学学报（理工版）,2015,(1):1-7,7.基金项目
国家自然科学基金资助项目(11474189) （11474189）
