We study quantum quench dynamics in the Fermi-Hubbard model, and its $\mathrm{SU}(N)$ generalizations, in one-dimensional lattices in the limit of infinite onsite repulsion between all flavors. We consider families of initial states with generalized N\'eel 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\'eel domain walls. Those correlations resemble the ones in the ground state of the $\mathrm{SU}(N)$ 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 $\mathrm{SU}(N)$ gas into the rapidity distribution after long times. Finally, we study equilibration in $\mathrm{SU}(N)$ 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 $\mathrm{SU}(N)$ fermions at large $U$ .We study quantum quench dynamics in the Fermi-Hubbard model, and its $\mathrm{SU}(N)$ generalizations, in one-dimensional lattices in the limit of infinite onsite repulsion between all flavors. We consider families of initial states with generalized N\'eel 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\'eel domain walls. Those correlations resemble the ones in the ground state of the $\mathrm{SU}(N)$ 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 $\mathrm{SU}(N)$ gas into the rapidity distribution after long times. Finally, we study equilibration in $\mathrm{SU}(N)$ 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 $\mathrm{SU}(N)$ fermions at large $U$.

arXiv:1903.10521Physical Review AJun 11, 201923 citations

Exact Solution of a 2D Interacting Fermion Model

Jonas de Woul, Edwin Langmann A

arXiv:1011.1401Communications in Mathematical PhysicsJul 5, 20128 citations

New soluble model of interacting fermions in one-dimension

Seth Grable, Noah Kamm, Harsh Mathur

Bulletin of the American Physical SocietyMar 16, 20210 citations

We study quantum quench dynamics in the Fermi-Hubbard model, and its

\mathrm{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\'eel 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\'eel domain walls. Those correlations resemble the ones in the ground state of the

\mathrm{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

\mathrm{SU}(N)

gas into the rapidity distribution after long times. Finally, we study equilibration in

\mathrm{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

\mathrm{SU}(N)

fermions at large

U