Title: Sine-Gordon quantum simulators: a hydrodynamic perspective
Abstract: The sine-Gordon model is an integrable field theory that captures the effective dynamics of a wealth of one-dimensional quantum systems, and thus is of central interest for a broad community. A convenient experimental platform consists in two tunnel-coupled onedimensional quasicondensates: the great tunability of this setup makes it a convenient quantum simulator of the field theory, realizing a sine-Gordon model with inhomogeneous couplings.
How does theory keep up with experimental challenges?
Generalized Hydrodynamics (GHD) is a well-established framework to describe weakly-inhomogeneous integrable models: in this talk, I present an overview of the recent efforts by myself and collaborators to study the sine-Gordon model from a GHD perspective.
I will touch on the following points: I will present new analytical results for phase-fluctuations at different space-time points, stemming from combining large deviation theory and GHD in the framework of Ballistic Fluctuation Theory. Motivated by the current quasicondensate experiments, which realize sine-Gordon near to its semiclassical regime, I will then build the hydrodynamics of the classical sine-Gordon model with inhomogeneous couplings and discuss its expected experimental implications.
The GHD of sine-Gordon in the quantum regime is still an open challenge, but I will offer further motivations to its development by discussing a blueprint of a future experiment able to probe the field theory deeply in its quantum regime.