Scrambling and quantum feedback in a nanomechanical system
arXiv:2202.02345 · doi:10.1140/epjd/s10053-022-00352-3
Abstract
The question of how swiftly entanglement spreads over a system has attracted vital interest. In this regard, the out-of-time ordered correlator (OTOC) is a quantitative measure of the entanglement spreading process. Particular interest concerns the propagation of quantum correlations in the lattice systems, {\it e.g.}, spin chains. In a seminal paper D. A. Roberts, D. Stanford and L. Susskind, J. High Energy Phys. 03, 051, (2015) the concept of the OTOC's radius was introduced. The radius of the OTOC defines the front line reached by the spread of entanglement. Beyond this radius operators commute. In the present work, we propose a model of two nanomechanical systems coupled with two Nitrogen-vacancy (NV) center spins. Oscillators are coupled to each other directly while NV spins are not. Therefore, the correlation between the NV spins may arise only through the quantum feedback exerted from the first NV spin to the first oscillator and transferred from the first oscillator to the second oscillator via the direct coupling. Thus nonzero OTOC between NV spins quantifies the strength of the quantum feedback. We show that NV spins cannot exert quantum feedback on classical nonlinear oscillators. We also discuss the inherently quantum case with a linear quantum harmonic oscillator indirectly coupling the two spins and verify that in the classical limit of the oscillator, the OTOC vanishes.
arXiv comment13 pages, 9 figures
References in corpus (54)
- A bound on chaos
- Electromagnetically Induced Transparency and Slow Light with Optomechanics
- Quantum many-body systems out of equilibrium
- Optomechanical Crystals
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Landau-Zener-Stuckelberg interferometry
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Chaos in quantum channels
- Dynamical quantum phase transitions: a review
- Localized shocks
- Many-body localization in periodically driven systems
- Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws
- Opto-mechanical transducers for long-distance quantum communication
- Strong magnetic coupling between an electronic spin qubit and a mechanical resonator
- Measurement of the quantum zero-point motion of a nanomechanical resonator
- Proposal for an Optomechanical Traveling Wave Phonon-Photon Translator
- Slow scrambling in disordered quantum systems
- Nonlinear Dynamics and Chaos in Two Coupled Nanomechanical Resonators
- Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
- Dynamical quantum phase transitions in random spin chains
- Realization of an optomechanical interface between ultracold atoms and a membrane
- Black hole scrambling from hydrodynamics
- Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-of-time-ordered correlators
- Qubit-induced phonon blockade as a signature of quantum behavior in nanomechanical resonators
- Jarzynski-like equality for the out-of-time-ordered correlator
- Scrambling the spectral form factor: unitarity constraints and exact results
- Hierarchies of Geometric Entanglement
- Optically detecting the quantization of collective atomic motion
- Thermodynamics of quantum information scrambling
- Entanglement of mechanical oscillators coupled to a non-equilibrium environment
- Scrambling of Quantum Information in Quantum Many-Body Systems
- Dynamical Localization in Disordered Quantum Spin Systems
- Quantum back-action in measurements of zero-point mechanical oscillations
- Cooling of mechanical motion with a two level system: the high temperature regime
- Orbital state manipulation of a diamond nitrogen-vacancy center using a mechanical resonator
- Cooling in the single-photon strong-coupling regime of cavity optomechanics
- Out-of-time-order correlators in finite open systems
- Multiphoton transitions in Josephson-junction qubits (Review Article)
- Entanglement between nitrogen vacancy spins in diamond controlled by a nanomechanical resonator
- Pulse and quench induced dynamical phase transition in a chiral multiferroic spin chain
- Hierarchy of Information Scrambling, Thermalization, and Hydrodynamic Flow in Graphene
- Diffusion-induced dephasing in nanomechanical resonators
- Helical multiferroics for electric field controlled quantum information processing
- Detection of qubit-oscillator entanglement in nanoelectromechanical systems
- Thermal entanglement and efficiency of the quantum Otto cycle for the su(1,1) Tavis-Cummings system
- Experimental observation of time singularity in classical-to-quantum chaos transition
- Reading, writing and squeezing the entangled states of two nanomechanical resonators coupled to a SQUID
- Generation of coherence in an exactly solvable nonlinear nanomechanical system
- Nonlinear dynamics of two coupled nano-electromechanical resonators
- Controlled generation of genuine multipartite entanglement in Floquet Ising spin models
- Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field
- Classical simulation of quantum circuits by dynamical localization: analytic results for Pauli-observable scrambling in time-dependent disorder
- Group-theoretical approach to study atomic motion in a laser field
- Quantum versus classical transport of energy in coupled two-level systems