Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices

Yicheng Zhang, Lev Vidmar, Marcos Rigol

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study quantum quench dynamics in the Fermi-Hubbard model, and its SU(N) generalizations, in one-dimensional lattices in the limit of infinite onsite repulsion between all flavors. We consider families of initial states with generalized Néel order, namely, initial states in which there is a periodic N-spin pattern with consecutive fermions carrying distinct spin flavors. We introduce an exact approach to describe the quantum evolution of those systems, and study two unique transient phenomena that occur during expansion dynamics in finite lattices. The first one is the dynamical emergence of Gaussian one-body correlations during the melting of sharp (generalized) Néel domain walls. Those correlations resemble the ones in the ground state of the SU(N) model constrained to the same spin configurations. This is explained using an emergent eigenstate solution to the quantum dynamics. The second phenomenon is the transformation of the quasimomentum distribution of the expanding strongly interacting SU(N) gas into the rapidity distribution after long times. Finally, we study equilibration in SU(N) gasses and show that observables after equilibration are described by a generalized Gibbs ensemble. Our approach can be used to benchmark analytical and numerical calculations of dynamics of strongly correlated SU(N) fermions at large U.

Original languageEnglish (US)
Article number063605
JournalPhysical Review A
Volume99
Issue number6
DOIs
StatePublished - Jun 11 2019

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fermions
domain wall
eigenvectors
melting
expansion
ground state
configurations
gases

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

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title = "Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices",
abstract = "We study quantum quench dynamics in the Fermi-Hubbard model, and its SU(N) generalizations, in one-dimensional lattices in the limit of infinite onsite repulsion between all flavors. We consider families of initial states with generalized N{\'e}el order, namely, initial states in which there is a periodic N-spin pattern with consecutive fermions carrying distinct spin flavors. We introduce an exact approach to describe the quantum evolution of those systems, and study two unique transient phenomena that occur during expansion dynamics in finite lattices. The first one is the dynamical emergence of Gaussian one-body correlations during the melting of sharp (generalized) N{\'e}el domain walls. Those correlations resemble the ones in the ground state of the SU(N) model constrained to the same spin configurations. This is explained using an emergent eigenstate solution to the quantum dynamics. The second phenomenon is the transformation of the quasimomentum distribution of the expanding strongly interacting SU(N) gas into the rapidity distribution after long times. Finally, we study equilibration in SU(N) gasses and show that observables after equilibration are described by a generalized Gibbs ensemble. Our approach can be used to benchmark analytical and numerical calculations of dynamics of strongly correlated SU(N) fermions at large U.",
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Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices. / Zhang, Yicheng; Vidmar, Lev; Rigol, Marcos.

In: Physical Review A, Vol. 99, No. 6, 063605, 11.06.2019.

Research output: Contribution to journalArticle

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