Emergent Spatial Textures from Interaction Quenches in the Hubbard Model

Fuente: arXiv
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Autori principali: Bakshi, Sankha Subhra, Chern, Gia-Wei
Natura: Preprint
Pubblicazione: 2026
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author Bakshi, Sankha Subhra
Chern, Gia-Wei
author_facet Bakshi, Sankha Subhra
Chern, Gia-Wei
contents Interaction quenches in strongly correlated electron systems provide a powerful route to probe nonequilibrium many-body dynamics. For the Hubbard model, nonequilibrium dynamical mean-field theory has revealed coherent post-quench oscillations, dynamical crossovers, and long-lived transient regimes. However, these studies are largely restricted to spatially homogeneous dynamics and therefore neglect the role of spatial structure formation during ultrafast evolution. Here we investigate interaction quenches in the half-filled Hubbard model using a real-space time-dependent Gutzwiller framework. We show that homogeneous nonequilibrium dynamics is generically unstable: even arbitrarily weak spatial fluctuations grow dynamically and drive the system toward intrinsically inhomogeneous states. Depending on the interaction strength, the post-quench evolution exhibits spatial differentiation, nucleation, and slow coarsening of Mott-like domains. Our results establish spatial self-organization as a generic feature of far-from-equilibrium correlated matter and reveal a fundamental limitation of spatially homogeneous nonequilibrium theories.
format Preprint
id arxiv_https___arxiv_org_abs_2601_22053
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Emergent Spatial Textures from Interaction Quenches in the Hubbard Model
Bakshi, Sankha Subhra
Chern, Gia-Wei
Strongly Correlated Electrons
Interaction quenches in strongly correlated electron systems provide a powerful route to probe nonequilibrium many-body dynamics. For the Hubbard model, nonequilibrium dynamical mean-field theory has revealed coherent post-quench oscillations, dynamical crossovers, and long-lived transient regimes. However, these studies are largely restricted to spatially homogeneous dynamics and therefore neglect the role of spatial structure formation during ultrafast evolution. Here we investigate interaction quenches in the half-filled Hubbard model using a real-space time-dependent Gutzwiller framework. We show that homogeneous nonequilibrium dynamics is generically unstable: even arbitrarily weak spatial fluctuations grow dynamically and drive the system toward intrinsically inhomogeneous states. Depending on the interaction strength, the post-quench evolution exhibits spatial differentiation, nucleation, and slow coarsening of Mott-like domains. Our results establish spatial self-organization as a generic feature of far-from-equilibrium correlated matter and reveal a fundamental limitation of spatially homogeneous nonequilibrium theories.
title Emergent Spatial Textures from Interaction Quenches in the Hubbard Model
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2601.22053