ICTS

Modular fusion categories provide the algebraic data of a 2D rational Conformal Field Theory (CFT), and also a precise rulebook for fusion and braiding of anyons, with applications to topological phases of matter and topological approaches to quantum computation. Logarithmic CFT is expected to...more

Organisms in nature evolve within complex, species-rich communities shaped by ongoing ecological interactions. Yet theoretical frameworks remain fragmented—ecology often ignores evolution, while evolutionary theory neglects ecological effects. I will present our efforts to bridge this gap by...more

We introduce a time-energy uncertainty relation within the context of monitored quantum dynamics [1] . Previous studies have established that the mean recurrence time, which represents the time taken to return to the initial state, is quantized as an integer multiple of the sampling time,...more

I will report on recent progress towards fundamental conjectures in quantum chaos, which assert that the statistics of quantum energy levels should be governed by a Poisson point process if the system is completely integrable (Berry & Tabor, 1977) or by random matrix theory if the underlying...more