2024/07/16 by C. H. Zhang, Z. Song, Zhang, C. H. +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2407.11509
openalex publication_date 2024/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Fermions and hardcore bosons share the same restriction: no more than one particle can occupy a single site in a lattice system. Specifically, in one dimension, two systems can share the same matrix representation. In this work, we investigate both the fermion and hardcore-boson models with nearest-neighbor (NN) interaction in a ring lattice. We construct the exact eigenstates of the hardcore-boson model with resonant NN interaction and show that they possess off-diagonal long-range order (ODLRO) in the thermodynamic limit. In comparison, the fermionic counterpart does not support such a feature due to the different particle statistics, although they share an identical energy spectrum. In addition, we examine the effect of the periodic boundary condition on the dynamics of the condensate states through numerical simulations.