99 citations · 180 across the 12 of their papers we have counts for
13 papers
A Hydrodynamic Theory for Non-Equilibrium Full Counting Statistics in One-Dimensional Quantum Systems
David X. Horvath, Benjamin Doyon, Paola Ruggiero
We study the dynamics of charge fluctuations after homogeneous quantum quenches in one-dimensional systems with ballistic transport. For short but macroscopic times where the non-t…
Hydrodynamic noise in one dimension: projected Kubo formula and how it vanishes in integrable models
Benjamin Doyon
Hydrodynamic noise is the Gaussian process that emerges at larges scales of space and time in many-body systems. It is justified by the central limit theorem, and represents degree…
Diffusive hydrodynamics of hard rods from microscopics
Friedrich Hübner, Leonardo Biagetti, Jacopo De Nardis +1
We derive exact equations governing the large-scale dynamics of hard rods, including diffusive effects that go beyond ballistic transport. Diffusive corrections are the first-order…
Circuits as a simple platform for the emergence of hydrodynamics in deterministic chaotic many-body systems
Sun Woo P. Kim, Friedrich Hübner, Juan P. Garrahan +1
The emergence of hydrodynamics is one of the deepest phenomena in many-body systems. Arguably, the hydrodynamic equations are also the most important tools for predicting large-sca…
Existence and Uniqueness of Solutions to the Generalized Hydrodynamics Equation
Friedrich Hübner, Benjamin Doyon
The generalized hydrodynamics (GHD) equation is the equivalent of the Euler equations of hydrodynamics for integrable models. Systems of hyperbolic equations such as the Euler equa…
Full counting statistics after quantum quenches as hydrodynamic fluctuations
David X. Horvath, Benjamin Doyon, Paola Ruggiero
The statistics of fluctuations on large regions of space encodes universal properties of many-body systems. At equilibrium, it is described by thermodynamics. However, away from eq…
Diffusive hydrodynamics from long-range correlations
Friedrich Hübner, Leonardo Biagetti, Jacopo De Nardis +1
In the hydrodynamic theory, the non-equilibrium dynamics of a many-body system is approximated, at large scales of space and time, by irreversible relaxation to local entropy maxim…
A new quadrature for the generalized hydrodynamics equation and absence of shocks in the Lieb-Liniger model
Friedrich Hübner, Benjamin Doyon
In conventional fluids, it is well known that Euler-scale equations are plagued by ambiguities and instabilities. Smooth initial conditions may develop shocks, and weak solutions,…
Generalised -deformations of classical free particles
Benjamin Doyon, Friedrich Hübner, Takato Yoshimura
Deformations of many-body Hamiltonians by certain products of conserved currents, referred to as -deformations, are known to preserve integrability. Generalised $T\bar{T}…
Generalized hydrodynamics: a perspective
Benjamin Doyon, Sarang Gopalakrishnan, Frederik Møller +2
Conventional hydrodynamics describes systems with few long-lived excitations. In one dimension, however, many experimentally relevant systems feature a large number of long-lived e…
New classical integrable systems from generalized -deformations
Benjamin Doyon, Friedrich Hübner, Takato Yoshimura
We introduce and study a novel class of classical integrable many-body systems obtained by generalized -deformations of free particles. Deformation terms are bilinears in…
Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
Jean-Sébastien Caux, Benjamin Doyon, Jérôme Dubail +2
Describing and understanding the motion of quantum gases out of equilibrium is one of the most important modern challenges for theorists. In the groundbreaking Quantum Newton Cradl…
More General Correlation Functions of Twist Fields From Ward Identities in the Massive Dirac Theory
James Silk
Following on from previous work we derive the non-linear differential equations of more general correlators of U(1) twist fields in two-dimensional massive Dirac theory. Using the…