#  Seminar: Brian Swingle (Brandeis University): "Hydrodynamics and Corrections to Random Matrix Universality in Quantum Chaos" 

 



####  calendar\_today Date and Time 

 **May 2, 2023** 

 09:30AM - 09:30AM EDT 

####  pin\_drop Location 

 **https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09**  



 

 



 

 **![Brian Swingle](/sites/g/files/omnuum6611/files/styles/hwp_1_1__360x360_scale/public/mathpicture/files/brian_swingle.jpg?itok=-RpcPlQs) 

 

  
Speaker:** Brian Swingle (Brandeis University)  
**Title:** Hydrodynamics and Corrections to Random Matrix Universality in Quantum Chaos  
**Abstract:** Ensembles of quantum chaotic systems typically exhibit random-matrix-like correlations in the statistics of their energy levels, and the spectral form factor is a useful way to diagnose these correlations. However, real physical systems have non-random structure, like locality and associated slow modes, which should affect these spectral correlations. I will present a theory that predicts the time-dependence of the spectral form factor based on an effective field theory of the relevant slow modes. I will discuss applications of this theory to a variety of systems, including to models with glassy dynamics and sound poles, and I will discuss a forthcoming result in which we relate these corrections to a corresponding effect near the Heisenberg time using the Riemann-Siegel lookalike formula. Based on work with Mike Winer and with Richard Barney, Chris Baldwin, and Victor Galitski.

 

 

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 Attachments- [  picture\_as\_pdf  23-5-2\_brian\_swingle\_seminar.pdf ](/sites/g/files/omnuum6611/files/mathpicture/files/23-5-2_brian_swingle_seminar.pdf)
 
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