Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soliton gases and generalized hydrodynamics   Dynamical equations in generalized hydrodynamics (GHD), a hydrodynamic theory
for integrable quantum systems at the Euler scale, take a rather simple form,
even though an infinite number of conserved charges are taken into account. We
show a remarkable quantum-classical equivalence: we demonstrate the equivalence
between the equations of GHD, and the Euler-scale hydrodynamic equations of a
new family of classical gases which generalize the gas of hard rods. In this
family, the "quasi-particles", upon colliding, jump forward or backward by a
distance that depends on their velocities, generalizing the jump forward by the
rods' length of the fixed-velocity tracer upon elastic collision of two hard
rods. Such velocity-dependent position shifts are characteristics of classical
soliton scattering. The emerging hydrodynamics of a quantum integrable model is
therefore that of the classical gas of its solitons. This provides a "molecular
dynamics" for GHD which is numerically efficient and flexible. This is directly
applicable, for instance, to the study of inhomogeneous dynamics in integrable
quantum chains and in the Lieb-Liniger model realized in cold-atom experiments.

11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph