Impenetrable SU(N) fermions in one-dimensional lattices

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.

arXiv comment13 pages, 13 figures

References in corpus (35)

• Many-Body Physics with Ultracold Gases
• One-Dimensional Fermi liquids
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• A one-dimensional liquid of fermions with tunable spin
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
• Spectroscopic signatures of spin-charge separation in the quasi-one-dimensional organic conductor TTF-TCNQ
• Shadow band in the one-dimensional large $U$ Hubbard model
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Angle resolved photoemission spectroscopy reveals spin charge separation in metallic MoSe2 grain boundary
• Spectral functions of the 1D Hubbard model in the U -> \infty limit: How to use the factorized wave-function
• Diffusion in deterministic interacting lattice systems
• Exact Diagonalization of Heisenberg SU(N) models
• Anomalous scaling of conductivity in integrable fermion systems
• Universal scaling of density and momentum distributions in Lieb-Liniger gases
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
• Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides
• Temperature correlators in the one-dimensional Hubbard model in the strong coupling limit
• SU(N) Fermions in a One-Dimensional Harmonic Trap
• Canonical representation for electrons and its application to the Hubbard model
• Exact solution of the infinite-U Hubbard problem and other models in one dimension
• Variational Monte-Carlo investigation of SU($N$) Heisenberg chains
• Multicomponent Strongly Interacting Few-Fermion Systems in One Dimension
• Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
• Spin-incoherent Luttinger liquid of one-dimensional SU($\kappa$) fermions

Cited by in corpus (7)

• Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
• Real-Time Evolution in the Hubbard Model with Infinite Repulsion
• Dynamics of spin and density fluctuations in strongly interacting few-body systems
• Correlation and entanglement spreading in nested spin chains
• Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Undamped Bloch Oscillations in the $U\to \infty$ one-dimensional Hubbard model