Coherent phonon manipulation in coupled mechanical resonators

Abstract

Coupled mechanical oscillations were first observed in paired pendulum clocks in the mid-seventeenth century and were extensively studied for their novel sympathetic oscillation dynamics. In this era of nanotechnologies, coupled oscillations have again emerged as subjects of interest when realized in nanomechanical resonators for both practical applications and fundamental studies. However, a key obstacle to the further development of this architecture is the ability to coherently manipulate the coupled oscillations. This limitation arises as a consequence of the usually weak coupling between the constituent nanomechanical elements. Here, we report parametrically coupled mechanical resonators in which the coupling strength can be dynamically adjusted by modulating (pumping) the stress in the mechanical elements via a piezoelectric transducer. The parametric control enables the coupling rate between the two resonators to be made so strong that it exceeds their intrinsic energy dissipation rate by more than a factor of four. This ultra-strong coupling can be exploited to coherently transfer phonon populations, namely phonon Rabi oscillations, between the resonators via two coupled vibration modes, realizing superposition states of the two modes and their time-domain control. More unexpectedly, the nature of the parametric coupling can also be tuned from a linear first-order interaction to a non-linear higher-order process in which more than one pump phonon mediates the coherent oscillations. This demonstration of multi-pump phonon mixing echoes multi-wave photon mixing and suggests that concepts from non-linear optics can also be applied to mechanical systems. Ultimately, the parametric pumping is not only useful for controlling classical oscillations but can also be extended to the quantum regime, opening up the prospect of entangling two distinct macroscopic mechanical objects.

16 pages, 11 figures

References in corpus (9)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Optomechanically induced transparency
• Electromagnetically Induced Transparency and Slow Light with Optomechanics
• Observation of strong coupling between a micromechanical resonator and an optical cavity field
• Circuit cavity electromechanics in the strong coupling regime
• State Transfer Between a Mechanical Oscillator and Microwave Fields in the Quantum Regime
• Coherent control of a nanomechanical two-level system
• Minimization of phonon-tunneling dissipation in mechanical resonators
• Femtogram Doubly Clamped Nanomechanical Resonators Embedded in a High-Q Two-Dimensional Photonic Crystal Nanocavity

Cited by in corpus (118)

• PT-Symmetric Phonon Laser
• Tunable double optomechanically induced transparency in an optomechanical system
• Experimental realization of on-chip topological nanoelectromechanical metamaterials
• Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
• General description of quasi-adiabatic dynamical phenomena near exceptional points
• Nonreciprocal control and cooling of phonon modes in an optomechanical system
• Dynamical strong coupling and parametric amplification in mechanical modes of graphene drums
• Nanomechanical Resonators: Toward Atomic Scale
• Coherent control of a nanomechanical two-level system
• Quantum limited amplification and entanglement in coupled nonlinear resonators
• Mechanical PT symmetry in coupled optomechanical systems
• Mesoscopic physics of nanomechanical systems
• Cascaded optical transparency in multimode-cavity optomechanical systems
• Nonlinear nano-electromechanical lattices for high-frequency, tunable stress propagation
• Simultaneous cooling of coupled mechanical resonators in cavity optomechanics
• Phononic band structure engineering for high-Q gigahertz surface acoustic wave resonators on lithium niobate
• Ultrafast control of Rabi oscillations in a polariton condensate
• Tunable multiphonon blockade in coupled nanomechanical resonators
• Controllable optical response by modifying the gain and loss of a mechanical resonator and cavity mode in an optomechanical system
• Two-mode squeezing in an electromechanical resonator
• Multimode optomechanical dynamics in a cavity with avoided crossings
• On-chip higher-order topological micromechanical metamaterials
• Coherent Optomechanical State Transfer between Disparate Mechanical Resonators
• Strong indirect coupling between graphene-based mechanical resonators via a phonon cavity
• On-chip phononic time lens
• Optical unidirectional amplification in a three-mode optomechanical system
• Strongly-coupled nanotube electromechanical resonators
• Long distance manipulation of a levitated nanoparticle in high vacuum
• Observation of dynamical phase transitions in a topological nanomechanical system
• Frequency tuning, nonlinearities and mode coupling in circular graphene resonators
• Selective optomechanically-induced amplification with driven oscillators
• Coherent phonon dynamics in spatially separated graphene mechanical resonators
• The Classical Bloch Equations
• Cooling mechanical oscillators by coherent control
• Strong Vibrational Coupling in Room Temperature Plasmonic Resonators
• Nonreciprocal phonon blockade
• Phonon nanocapacitor for storage and lasing of terahertz lattice waves
• Force sensing with nanowire cantilevers
• Reservoir-engineered entanglement in a hybrid modulated three-mode optomechanical system
• Coherent phonon Rabi oscillations with a high frequency carbon nanotube phonon cavity
• Motion transduction with thermo-mechanically squeezed graphene resonator modes
• Thermal-noise-resistant optomechanical entanglement via general dark-mode control
• Steady-state nested entanglement structures in harmonic chains with single-site squeezing manipulation
• Nonlinear phononics using atomically thin membranes
• Spontaneous $\mathcal{T}$-symmetry breaking and exceptional points in cavity quantum electrodynamics systems
• Simulating quantum dynamical phenomena using classical oscillators: Landau-Zener-Stuckelberg-Majorana interferometry, latching modulation, and motional averaging
• High-acoustic-index-contrast phononic circuits: numerical modeling
• Classical non-Gaussian state preparation through squeezing in an opto-electromechanical resonator
• Coherent interplay between surface acoustic waves and coupled mechanical resonators: transition from plasmon-like to surface mediated coupling
• A strongly-coupled $\Lambda$-type micromechanical system
• Strong 4-mode coupling of nanomechanical string resonators
• Tunable strong coupling of mechanical resonance between spatially separated FePS${}_3$ nanodrums
• Parametric strong mode-coupling in carbon nanotube mechanical resonators
• Spin detection via parametric frequency conversion in a membrane resonator
• Phonon antibunching effect in coupled nonlinear micro/nanomechanical resonator at finite temperature
• Topological optomechanical amplifier with synthetic $\mathcal{P}\mathcal{T}$-symmetry
• Phononic entanglement concentration via optomechanical interactions
• Quantum correlation enhanced weak field detection in optomechanical system
• Phonon Josephson Junction with Nanomechanical Resonators
• Observing polarization patterns in the collective motion of nanomechanical arrays
• Tunable mechanical coupling between driven microelectromechanical resonators
• Bichromatic synchronized chaos in coupled optomechanical nanoresonators
• Energy-level-attraction and heating-resistant-cooling of mechanical resonators with exceptional points
• Strong parametric coupling between two ultra-coherent membrane modes
• Piecewise Adiabatic Following in Non-Hermitian Cycling
• Phonon Interferometry for Measuring Quantum Decoherence
• Free-space optomechanical liquid probes using a twin-microbottle resonator
• Ground-state cooling of multiple near-degenerate mechanical modes
• On-demand driven dissipation for cavity reset and cooling
• Frequency control and coherent excitation transfer in a nanostring resonator network
• Generating Synthetic Magnetism via Floquet Engineering Auxiliary Qubits in Phonon-Cavity-Based Lattice
• Classical Stückelberg interferometry of a nanomechanical two-mode system at room temperature
• Mechanical Entanglement via Detuned Parametric Amplification
• Multi-path photon-phonon converter in optomechanical system at single-quantum level
• Non-volatile rewritable frequency tuning of a nanoelectromechanical resonator using photoinduced doping
• Quantum walks on a circle with optomechanical systems
• An opto-electro-mechanical system based on evanescently-coupled optical microbottle and electromechanical resonator
• Coherent two-mode dynamics of a nanowire force sensor
• Phase-dependent double optomechanically induced transparency in a hybrid optomechanical cavity system with coherently mechanical driving
• Generation and propagation of topological solitons in a chain of coupled parametric-micromechanical-resonator arrays
• Phononic Josephson oscillation and self-trapping with two-phonon exchange interaction
• Static synthetic gauge field control of double optomechanically induced transparency in a closed-contour interaction scheme
• Quantum correlations among optical and vibrational quanta
• Telegraph frequency noise in electromechanical resonators
• Stress-controlled frequency tuning and parametric amplification of the vibrations of coupled nanomembranes
• Electromechanics in vertically coupled nanomembranes
• A levitated nanoparticle as a classical two-level atom
• Geometric energy transfer in a Stückelberg interferometer of two parametrically coupled mechanical modes
• Finite time Stückelberg interferometry with nanomechanical modes
• Coherent control of flexural vibrations in dual-nanoweb fibers using phase-modulated two-frequency light
• Single-photon pump by Cooper-pair splitting
• Dynamics of coupled vibration modes in a quantum non-linear mechanical resonator
• Exceptional point enhanced optical gyroscope in mechanical PT-symmetric system
• Tension mediated nonlinear coupling between orthogonal mechanical modes of nanowire resonators
• Discrete time crystal in an open optomechanical system
• Optically probing Schwinger angular momenta in a micromechanical resonator
• Imaging nanomechanical vibrations and manipulating parametric mode coupling via scanning microwave microscopy
• Strong Phonon-Cavity Coupling and Parametric Interaction in a Single Microcantilever under Ambient Conditions
• Coherent control of an optical tweezer phonon laser
• Driven energy transfer between coupled modes in spin-torque oscillators
• Controlled assembly of graphene sheets and nanotubes: fabrication of suspended multi-element all-carbon vibrational structures
• Combinatorial Design of Floppy Modes and Frustrated Loops in Metamaterials
• Tunable $\Lambda$-type system made of a superconducting qubit pair
• Non-Markovianity over ensemble averages in quantum complex networks
• Controllability in tunable chains of coupled harmonic oscillators
• Nonreciprocity of intense light field and weak quantum signal in optomechanical systems with three-mode parametric interactions
• Selective cooling and squeezing in a lossy optomechanical closed loop embodying an exceptional surface
• Fluctuating parametric drive of coupled classical oscillators can simulate dissipative qubits
• Pulse, polarization and topology shaping of polariton fuids
• Fundamental and second-subharmonic Autler-Townes splitting in classical systems
• Switching off energy decay channels in nanomechanical resonators
• Non-equilibrium quadratic measurement-feedback squeezing in a micromechanical resonator
• Exploring Nonreciprocal Noise Transfer under Onsager-Casimir Symmetry in Synthetic-Field Optomechanics
• Reshaping coupled bosonic networks: A bipartite-graph framework for optimal quantum excitation transfer
• Quadrature skyrmions in two-dimensionally arrayed parametric resonators
• Tunable coupling of two mechanical resonators by a graphene membrane
• Iterative Adaptive Spectroscopy of Short Signals
• Optimal transfer of entanglement in oscillator chains in non-Markovian open systems