Theory Seminar: Solvable Chaotic Many-Body Quantum Systems

Pavel Kos, University of Ljubljana
Group Seminar via Zoom
Wednesday, 24.02.2021, 11:30 (MEZ)

Abstract:

In my talk, I will discuss a class of solvable chaotic many-body quantum models. These locally interacting models have a special property, called dual-unitarity, meaning that the evolution propagator in the space direction is also unitary. This property allows us to exactly answer some questions about the chaotic evolution of these systems.

Firstly, I will briefly address the results regarding spectral form factor, which is a spectral indicator of chaos. Secondly, I will focus on a dynamical indicator of chaos: local operator entanglement entropy, which measures the complexity of the evolving operators in the Heisenberg picture. Thirdly, I will discuss the spatio-temporal correlation functions in these models.

[1] B. Bertini, P. Kos and T. Prosen, Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos, Phys. Rev. Lett. 121, 264101 (2018).

[2] B. Bertini, P. Kos and T. Prosen, Operator Entanglement in Local Quantum Circuits I: Chaotic Dual-Unitary Circuits, SciPost Phys. 8, 67 (2020).

[3] B. Bertini, P. Kos and T. Prosen, Exact Correlation Functions for Dual-Unitary Lattice Models in 1 + 1 Dimensions, Phys. Rev. Lett. 123, 210601 (2019).

[4] P. Kos, B. Bertini and T. Prosen, Correlations in Perturbed Dual-Unitary Circuits: Efficient Path-Integral Formula, Phys. Rev. X 11, 011022 (2020).