4 papers
Influence-solvability: a systematic theory of solvability and its application to brickwork circuits
Friedrich Hübner, Sun Woo P. Kim
`Solvable' circuits, such as dual unitaries and its generalisations, have arisen as paradigmatic examples of tractable chaotic non-equilibrium dynamics, both in classical and quant…
On the Hydrodynamic Approximation of Quantum Integrable Models -- An Illustration via the repulsive Lieb-Liniger Model
Friedrich Hübner
Generalized hydrodynamics is a framework to study the large scale dynamics of integrable models, special fine-tuned one-dimensional many-body systems that possess an infinite numbe…
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,…
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…