Chaos in coupled Kerr-nonlinear parametric oscillators
arXiv:2110.04019 · doi:10.1103/PhysRevResearch.3.043196
Abstract
A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schrödinger cat state, via quantum adiabatic evolution, and can be used as a qubit for gate-based quantum computing and quantum annealing. In this work, we investigate complex dynamics, i.e., chaos, in two coupled nondissipative KPOs at a few-photon level. After showing that a classical model for this system is nonintegrable and consequently exhibits chaotic behavior, we provide quantum counterparts for the classical results, which are quantum versions of the Poincaré surface of section and its lower-dimensional version defined with time integrals of the Wigner and Husimi functions, and also the initial and long-term behavior of out-of-time-ordered correlators. We conclude that some of them can be regarded as quantum signatures of chaos, together with energy-level spacing statistics (conventional signature). Thus, the system of coupled KPOs is expected to offer not only an alternative approach to quantum computing, but also a promising platform for the study on quantum chaos.
12 pages, 8 figures
References in corpus (6)
- Confining the state of light to a quantum manifold by engineered two-photon loss
- Quantum dynamics of a few-photon parametric oscillator
- Spectral fluctuations and 1/f noise in the order-chaos transition regime
- Out-of-time-order correlator in coupled harmonic oscillators
- Classical bifurcations and entanglement in smooth Hamiltonian system
- Quantum Correlations in the Kerr Ising Model
Cited by in corpus (5)
- The squeezed Kerr oscillator: spectral kissing and phase-flip robustness
- Quantum Gate for Kerr Nonlinear Parametric Oscillator Using Effective Excited States
- Simulated bifurcation assisted by thermal fluctuation
- Correlated oscillations in Kerr parametric oscillators with tunable effective coupling
- Relative asymptotic oscillations of the out-of-time-ordered correlator as a quantum chaos indicator