Quantum Lunch: Entanglement and Chaos: Linear entropy production at instabilities – University of Copenhagen

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QMath > Events > Quantum Lunch > w 40 Lucas Hackl

Quantum Lunch: Entanglement and Chaos: Linear entropy production at instabilities

Speaker: Lucas Hackl from Pennsylvania State University

Title: Entanglement and Chaos: Linear entropy production at instabilities 

Abstract:
The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate given by the sum over all positive Lyapunov exponents of the system. I will prove a quantum version of this result valid for bosonic systems with      unstable quadratic Hamiltonian: the entanglement entropy of squeezed coherent states grows linearly for large times, with a rate determined by the Lyapunov exponents and the choice of the subsystem. I will discuss its application to quantum field theory and explain our conjecture on what this result implies for quantum chaos and thermalization in systems with periodic orbits.