Impenetrable SU(N) fermions in one-dimensional lattices

Zhang, Yicheng (author), Vidmar, Lev (author), Rigol, Marcos (author)

We study SU(N) fermions in the limit of infinite on-site repulsion between all species. We focus on states in which every pair of consecutive fermions carries a different spin flavor. Since the particle order cannot be changed (because of the infinite on-site repulsion) and contiguous fermions have a different spin flavor, we refer to the corresponding constrained model as the model of distinguishable quantum particles. We introduce an exact numerical method to calculate equilibrium one-body correlations of distinguishable quantum particles based on a mapping onto noninteracting spinless fermions. In contrast to most many-body systems in one dimension, which usually exhibit either power-law or exponential decay of off-diagonal one-body correlations with distance, distinguishable quantum particles exhibit a Gaussian decay of one-body correlations in the ground state, while finite-temperature correlations are well described by stretched exponential decay.

• Language: English
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2018
• Number of pages: Str. 042129-1-042129-12
• Numbering: Vol. 98, no. 4
• PID: 20.500.12556/RUL-107410
• UDC: 53
• ISSN on article: 2469-9926
• DOI: 10.1103/PhysRevA.98.042129
• COBISS.SI-ID: 32045863
• Publication date in RUL: 11.04.2019

ZHANG, Yicheng, VIDMAR, Lev and RIGOL, Marcos, 2018, Impenetrable SU(N) fermions in one-dimensional lattices. Physical review [online]. 2018. Vol. 98, no. 4, p. 042129-1- 042129–12. [Accessed 17 June 2025]. DOI 10.1103/PhysRevA.98.042129. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=107410

Record is a part of a journal

• Title: Physical review
• Publisher: American Physical Society
• ISSN: 2469-9926
• COBISS.SI-ID: 2996836

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 694544
• Name: Open many-body non-equilibrium systems
• Acronym: OMNES