Simon was a DPhil and then PDRA in the Wolfson Centre for Mathematical Biology here in Oxford Mathematics before moving to Medical Sciences in Oxford.
The award recognises the scientific contributions made by a graduate student or postdoctoral fellow who is making exceptional scientific contributions to mathematical biology.
13:00
Late time saturation of the Einstein-Rosen bridge dual to the Double Scaled SYK model
Abstract
In this talk I will explain how the size of the Einstein-Rosen (ER) bridge dual to the Double Scaled SYK (DSSYK) model saturates at late times because of finiteness of the underlying quantum Hilbert space. I will extend recent work implying that the ER bridge size equals the spread complexity of the dual DSSYK theory with an appropriate initial state. This work shows that the auxiliary "chord basis'' used to solve the DSSYK theory is the physical Krylov basis of the spreading quantum state. The ER bridge saturation follows from the vanishing of the Lanczos spectrum, derived by methods from Random Matrix Theory (RMT).
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