Work

Simulating generalized fluids via interacting wave packet evolution

Year: 2025

Type: article

Abstract: One–dimensional integrable and integrable systems display, on macroscopic scales, a universal form of transport known as (GHD). In its standard Euler-scale formulation, GHD mirrors the equations of a two-dimensional compressible fluid but ignores fluctuations and becomes numerically unwieldy as soon as integrability-breaking perturbations are introduced. We show that GHD can be efficiently simulated as a gas of —a natural generalization of hard-rod particles—whose trajectories are efficiently mapped onto those of point particles. This representation (i) provides a transparent route to incorporate integrability-breaking terms, and (ii) automatically embeds the exact fluctuating-hydrodynamics extension of GHD. The resulting framework enables fast, large-scale simulations of quasi-integrable systems even in the presence of complicated integrability-breaking perturbations. It also manifests the pivotal role of two-point correlations in systems confined by external potentials: we demonstrate that situations where local one-point observables appear thermalized can nevertheless sustain long-lived, far-from-equilibrium correlations for arbitrarily long times, signaling that, differently from what was previously stated, true thermalization is reached at diffusive time-scales.

Source: Physical review. B./Physical review. B

DOI: 10.1103/b587-8yyt

Authors: Andrew Urilyon, Leonardo Biagetti, Jitendra Kethepalli, Jacopo De Nardis

Institution: Laboratoire de Physique Théorique et Modélisation

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Agence Nationale de la Recherche, H2020 European Research Council

Awards: G3796701426, G8483133465