Simulating Nonlinear Dynamics of Collective Spins via Quantum Measurement and Feedback
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 dynamic...
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| Veröffentlicht in: | Physical review letters 2020-03, Vol.124 (11), p.110503-110503, Article 110503 |
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| container_title | Physical review letters |
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| creator | Muñoz-Arias, Manuel H Poggi, Pablo M Jessen, Poul S Deutsch, Ivan H |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevLett.124.110503 |
| format | Article |
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| source | American Physical Society Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Chaos theory Dynamical systems Feedback Liapunov exponents Nonlinear dynamics Quantum theory Simulation Spin dynamics |
| title | Simulating Nonlinear Dynamics of Collective Spins via Quantum Measurement and Feedback |
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