Simulating Nonlinear Dynamics of Collective Spins via Quantum Measurement and Feedback

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

Research output: Contribution to journalArticle

1 Scopus citations

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.

Original languageEnglish (US)
Article number110503
JournalPhysical review letters
Volume124
Issue number11
DOIs
StatePublished - Mar 20 2020

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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