Triangle Seminars
Tuesday, 17 Mar 2020
Postponed
Marika Taylor
(Southampton)
Wednesday, 18 Mar 2020
t.b.a.
Takato Yoshimura
(Tokyo Institute of Technology)
Abstract:
––––––––- Part of London Integrability Journal Club. If you are a new participant, please register using the form at integrability-london.weebly.com.
––––––––- Part of London Integrability Journal Club. If you are a new participant, please register using the form at integrability-london.weebly.com.
Posted by: andrea
Thursday, 19 Mar 2020
TBA for the g-function
Edoardo Vescovi
(Imperial College)
Abstract:
The notion of integrability can be extended to systems with boundaries. In large volume and finite temperature, the free energy of such systems – unlike those periodic – contains a non-extensive piece, called g-function, with many physical interpretations. We present a method [1906.07733] hybrid of [1003.5542, 1007.1148, 1809.05705] to calculate the g-function from the TBA partition function.
NOTE: Thus is an online seminar using Zoom. Please follow the registration link on https://integrability-london.weebly.com/
The notion of integrability can be extended to systems with boundaries. In large volume and finite temperature, the free energy of such systems – unlike those periodic – contains a non-extensive piece, called g-function, with many physical interpretations. We present a method [1906.07733] hybrid of [1003.5542, 1007.1148, 1809.05705] to calculate the g-function from the TBA partition function.
NOTE: Thus is an online seminar using Zoom. Please follow the registration link on https://integrability-london.weebly.com/
Posted by: andrea
Friday, 20 Mar 2020
Emergent hydrodynamics in integrable systems
📍 London
Benjamin Doyon
(King's College London)
Abstract:
Join <a href="https://redirect.is/jdnb0h">here</a> (you need Microsoft Teams).
Typical systems of many particles in strong interaction have extremely complex behaviours which are hard to study in detail. But when the system is very large, simplicity resurfaces: typically just a few degrees of freedom are relevant, which follow new, simple laws. Understanding what the emergent behaviours are from the underlying microscopic interactions is one of the foremost problems in modern science. A very powerful set of ideas and tools at our disposal is hydrodynamics. Although the Navier-Stokes and related equations have been studied for a very long time, we are now starting to uncover the full potential of the fundamental principles of hydrodynamics. In particular, in a recent breakthrough it was understood how to apply these principles to quantum and classical integrable models, where infinitely many conserved currents exist, giving ``generalised hydrodynamicsâ€. I will overview the fundamental principles of hydrodynamics and their adaptation to integrable systems, with simple examples such as the quantum Lieb-Liniger model, the classical Toda model, and the soliton gases. I will discuss a recent cold-atom experiment that confirmed generalised hydrodynamics, and, if time permits, show some of the exact results that can be obtained with this formalism, such as exact nonequilibrium steady states and exact asymptotic of correlation functions at large space-time separations.
Join <a href="https://redirect.is/jdnb0h">here</a> (you need Microsoft Teams).
Typical systems of many particles in strong interaction have extremely complex behaviours which are hard to study in detail. But when the system is very large, simplicity resurfaces: typically just a few degrees of freedom are relevant, which follow new, simple laws. Understanding what the emergent behaviours are from the underlying microscopic interactions is one of the foremost problems in modern science. A very powerful set of ideas and tools at our disposal is hydrodynamics. Although the Navier-Stokes and related equations have been studied for a very long time, we are now starting to uncover the full potential of the fundamental principles of hydrodynamics. In particular, in a recent breakthrough it was understood how to apply these principles to quantum and classical integrable models, where infinitely many conserved currents exist, giving ``generalised hydrodynamicsâ€. I will overview the fundamental principles of hydrodynamics and their adaptation to integrable systems, with simple examples such as the quantum Lieb-Liniger model, the classical Toda model, and the soliton gases. I will discuss a recent cold-atom experiment that confirmed generalised hydrodynamics, and, if time permits, show some of the exact results that can be obtained with this formalism, such as exact nonequilibrium steady states and exact asymptotic of correlation functions at large space-time separations.
Posted by: andrea