2012/01/29 by Wang Zhao-Liang, Zhao-Liang, Wang, Wang An-Min +4
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear physics research studies #Quantum Gases (cond-mat.quant-gas) #Superconductivity (cond-mat.supr-con) #cond-mat.quant-gas #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.1201.6019
7 pages, 10 figures
openalex publication_date 2012/01/29 · arxiv created 2012/08/07 · arxiv updated 2012/08/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The relations among the occupation number of the lowest natural orbital (ONLNO), momentum distributions (MD) and off-diagonal long-range element (ODLRE) of the reduced single-particle density matrix (RSPDM) are studied while Tonks-Girardeau gas in one dimensional periodic potential is in the ground state. For N-body systems of large enough, RSPDM and its lowest natural orbital do not vary with N in overlapped areas in commensurate and incommensurate cases correspondingly. In commensurate case, the ODLRE is exponential attenuation with N, which results in that the ONLNO and MD are invariant with N. While in contrast, in incommensurate case, the off-diagonal elements are inversely proportional to √(N), which results in the different behavior of the ONLNO and MD.