Simulating Nonlinear Dynamics of Collective Spins via Quantum Measurement and Feedback

Manuel H. Muñoz-Arias, Pablo M. Poggi, Poul S. Jessen, and Ivan H. Deutsch

Phys. Rev. Lett. 124, 110503 – Published 18 March 2020

Abstract

We study a method to simulate quantum many-body dynamics of spin ensembles using measurement-based feedback. By performing a weak collective measurement on a large ensemble of two-level quantum systems and applying global rotations conditioned on the measurement outcome, one can simulate the dynamics of a mean-field quantum kicked top, a standard paradigm of quantum chaos. We analytically show that there exists a regime in which individual quantum trajectories adequately recover the classical limit, and show the transition between noisy quantum dynamics to full deterministic chaos described by classical Lyapunov exponents. We also analyze the effects of decoherence, and show that the proposed scheme represents a robust method to explore the emergence of chaos from complex quantum dynamics in a realistic experimental platform based on an atom-light interface.

Received 5 August 2019
Accepted 3 March 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.110503

Physics Subject Headings (PhySH)

Chaos Quantum chaos Quantum feedback Quantum measurements Quantum simulation Quantum-to-classical transition

Quantum Information, Science & TechnologyNonlinear Dynamics

Authors & Affiliations

Manuel H. Muñoz-Arias ¹, Pablo M. Poggi ¹, Poul S. Jessen ², and Ivan H. Deutsch ¹

¹Center for Quantum Information and Control, CQuIC, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA
²Center for Quantum Information and Control, CQuIC, College of Optical Sciences and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA