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arXiv · 1808.01314

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.

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Yicheng Zhang, Lev Vidmar, Marcos Rigol. 2018-08-03. Impenetrable SU(N) fermions in one-dimensional lattices. https://doi.org/10.1103/physreva.98.042129

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