Hybrid quantum-classical chaotic NEMS

TL;DR

This paper introduces an exactly solvable hybrid quantum-classical model of a NV center spin coupled to a nanocantilever, investigating how classical chaos influences quantum spin dynamics and identifying conditions for quantum chaos manifestations.

Contribution

The study provides a novel exactly solvable model of a hybrid quantum-classical system and analyzes the impact of classical chaos on quantum spin behavior, including feedback effects.

Findings

Classical chaos can induce stochastic effects in quantum spin dynamics.

Quantum chaos signatures are observed in the spin system under certain conditions.

Quantum feedback influences the coupled system's dynamics.

Abstract

We present an exactly solvable model of a hybrid quantum-classical system of a Nitrogen-Vacancy (NV) center spin (quantum spin) coupled to a nanocantilever (classical) and analyze the enforcement of the regular or chaotic classical dynamics onto the quantum spin dynamics. The main problem we focus in this paper is whether the classical dynamical chaos may induce chaotic effects in the quantum spin dynamics or not. We explore several characteristic criteria of the quantum chaos, such as quantum Poincar\'{e} recurrences, generation of coherence and energy level distribution and observe interesting chaotic effects in the spin dynamics. Dynamical chaos imposed in the cantilever dynamics through the kicking pulses induces the stochastic dynamics on the quantum subsystem. We consider a quantum system of two and three levels and show that in a two-level case, type of stochasticity is not conforming all the characteristic features of the quantum chaos and is distinct from it. We also explore the effect of quantum feedback on dynamics of the cantilever and the entire system.