Southwest Quantum Information and Technology

The quantum-classical transition for nonlinear system: Uniquely quantal chaos

Presenting Author: Moses Misplon, Carleton College
Contributing Author(s): Walter Lynn, Bibek Pokharel, Peter Duggins, Kevin Hallman, Dustin Anderson, Arie Kapulkin, Arjendu K. Pattanayak

We report calculations of quantum Lyapunov exponents for an open quantum driven double-well oscillator mapping its dependence on effective Planck's constant and the strength of the coupling to the environment. We use stochastic Schrodinger equations and semiclassical equations to map the transition to the classical limit behavior. Our results include unambiguous quantum chaos at parameter regimes currently experimentally accessible including anomalous situations where the quantum system is chaotic even though its classical limit is not. We understand and explain the mechanisms for the anomalous behavior using bifurcation diagrams and Poincare sections.

(Session 5 : Thursday from 5:00 - 7:00 pm)