Hydrodynamic fluctuations in integrable systems

27 May 2026, 13:00
1h
Kavli IPMU

Kavli IPMU

5 Chome-1-5 Kashiwanoha, Kashiwa, Chiba 277-8583, Japan

Speaker

Takato Yoshimura (King’s College London)

Description

Fluctuations at hydrodynamic scales encapsulate invaluable information about the dynamics in many-body systems. While such hydrodynamic fluctuations in non-integrable systems are well-understood and machineries for describing them have been established, it was recently realised that those in integrable systems are of a fundamentally different nature.

In this talk, I will explain how hydrodynamic fluctuations differ between non-integrable and integrable systems and introduce a formalism to evaluate these fluctuations in integrable systems. I will then illustrate one instance where the difference gives rise to an unconventional phenomenon: anomalous fluctuations in the XXZ spin chain.

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