Impenetrable SU(N) fermions in one-dimensional lattices

Yicheng Zhang, Lev Vidmar, Marcos Rigol

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Abstract

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.

Original languageEnglish (US)
Article number042129
JournalPhysical Review A
Volume98
Issue number4
DOIs
StatePublished - Oct 25 2018

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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