Beecroft building

Condensed Matter Theory Forum - Dual-unitary circuit dynamics

26Jan
Seminars and colloquia
Time
Venue
Simpkins Lee
Martin Wood Complex, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU
Speaker(s)

Dr Pieter Claeys (Cambridge)

Seminar series
CMT Forum
Knowledge of physics?
Yes, knowledge of physics required
For more information contact

Abstract

Quantum lattice models with time evolution governed by local unitary quantum circuits can serve as a minimal model for the study of general unitary dynamics governed by local interactions. Although such circuit dynamics exhibit many of the features expected of generic many-body dynamics, exact results generally require the presence of randomness in the circuit. I will discuss dual-unitary circuits characterized by an underlying space-time symmetry, and show how they give rise to exactly solvable models for ergodic and non-ergodic thermalization for correlations and the scrambling of out-of-time-order correlators. Combining dual-unitary dynamics with projective measurements, I will also make the connection with random matrix theory and show how measurements can give rise to uniformly distributed states and a quantum state-design.

A zoom link will be available for this hybrid talk. Please contact Max McGinley (maximilian.mcginley@physics.ox.ac.uk) if you wish to join online.