Nonlinear dynamics and mechanical frequency combs with a Meissner-levitated micromagnet

• URL: http://arxiv.org/abs/2609.11668v2
• Date: Fri, 11 Sep 2026 16:16:18 GMT
• Title: Nonlinear dynamics and mechanical frequency combs with a Meissner-levitated micromagnet
• Abstract summary: We show that coupled center-of-mass and rotational motion of a Meissner-levitated micromagnet offer a promising platform for nonlinear dynamics.<n>We use this tunability to demonstrate the generation of a mechanical frequency comb in the micromagnet dynamics.
• Score: 3.244311520052707
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Nonlinearities in multimode mechanical systems can give rise to rich dynamical phenomena with great potential for sensing applications and for future quantum experiments. We demonstrate that the coupled center-of-mass and rotational motion of a Meissner-levitated micromagnet offer a promising platform for nonlinear dynamics, combining low dissipation, magnetic tunability, strong intrinsic Duffing nonlinearities, and nonlinear intermodal couplings. We use this tunability to demonstrate the generation of a mechanical frequency comb in the micromagnet dynamics, realized by parametric excitation of two translational modes followed by cascaded nonlinear frequency mixing, which produces a phononic comb with tunable spacing. At large amplitudes, nonlinear coupling to a low-frequency librational mode of the magnet leads to parametric excitation and phase locking of that mode, generating a dense spectral fine structure at subharmonics of the drive. These results establish levitated micromagnets as a platform for nonlinear multimode mechanics, with potential applications in precision sensing and quantum-limited metrology.

Related papers

• Kerr nonlinearity and three-wave mixing in superconducting resonators hosting Al-InAs weak links [0.0]
  Microwave resonators are a versatile tool in quantum information processing, enabling parametric amplification, continuous variable quantum computing, and engineered mode interactions.<n>Many of these applications especially benefit from cubic nonlinearities enabling three-wave mixing; at the same time, they are limited by quartic nonlinearities giving rise to undesired Kerr effects.<n>A recurrent challenge is therefore to engineer resonators with a finite cubic nonlinearity while suppressing quartic terms.<n>Here, we investigate a superconducting resonator hosting two weak links fabricated from an aluminum-capped indium arsenide nanowire.
  arXiv  Detail & Related papers  (2026-08-28T15:12:31Z)
• Strong nanomechanical Duffing nonlinearity and interactions induced through cavity optomechanics [0.0]
  We experimentally demonstrate an approach to realizing strong mechanical nonlinearity in nanomechanical resonators, fully controlled through optical laser drives.<n>The resulting Duffing nonlinearity is conveniently tunable in strength via pump laser power, while its sign is controlled by laser detuning.<n>These results establish cavity optomechanics as a versatile and in-situ reconfigurable platform for engineering nonlinear dynamics in resonators and networks.
  arXiv  Detail & Related papers  (2026-05-18T12:17:00Z)
• Flux-modulated tunable interaction regimes in two strongly nonlinear oscillators [0.0]
  We show the ability to selectively activate different dynamical regimes between two strongly nonlinear oscillators using parametric modulation.<n>Our results could be used for realizing purely analog quantum simulators to study arbitrary spin systems.
  arXiv  Detail & Related papers  (2025-11-09T20:42:10Z)
• Self-Sustained Oscillations of a Nonlinear Optomechanical System in the Low-Excitation Regime [0.08209843760716959]
  Next-generation quantum applications, such as quantum sensing, require the combination of nonlinearity with non-classical correlations.<n>Here, we report the observation and theoretical modeling of nonlinear dynamics in a mechanical system driven at the single-excitation level.<n>Specifically, the large Kerr nonlinearity of our superconducting microwave circuit reduces the threshold for the observation of nonlinear dynamics by four orders of magnitude.
  arXiv  Detail & Related papers  (2025-10-02T08:05:42Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Josephson bifurcation readout: beyond the monochromatic approximation [49.1574468325115]
  We analyze properties of bifurcation quantum detectors based on weakly nonlinear superconducting resonance circuits. This circuit can serve as an efficient detector of the quantum state of superconducting qubits.
  arXiv  Detail & Related papers  (2024-05-25T22:22:37Z)
• Superconducting cavity piezo-electromechanics: the realization of an acoustic frequency comb at microwave frequencies [4.956227535116645]
  We present a nonlinear multimode superconducting electroacoustic system at 10 GHz. The interplay between superconducting kinetic inductance and piezoelectric strong coupling establishes an effective Kerr nonlinearity.
  arXiv  Detail & Related papers  (2022-07-12T18:26:20Z)
• Measuring the magnon-photon coupling in shaped ferromagnets: tuning of the resonance frequency [50.591267188664666]
  cavity photons and ferromagnetic spins excitations can exchange information coherently in hybrid architectures. Speed enhancement is usually achieved by optimizing the geometry of the electromagnetic cavity. We show that the geometry of the ferromagnet plays also an important role, by setting the fundamental frequency of the magnonic resonator.
  arXiv  Detail & Related papers  (2022-07-08T11:28:31Z)
• Thermal self-oscillations in monolayer graphene coupled to a superconducting microwave cavity [58.720142291102135]
  We observe thermal self-oscillations in a monolayer graphene flake coupled to superconducting resonator. The experimental observations fit well with theoretical model based on thermal instability. The modelling of the oscillation sidebands provides a method to evaluate electron phonon coupling in disordered graphene sample at low energies.
  arXiv  Detail & Related papers  (2022-05-27T15:38:41Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
  static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
  arXiv  Detail & Related papers  (2021-07-14T15:11:05Z)
• A low-loss ferrite circulator as a tunable chiral quantum system [108.66477491099887]
  We demonstrate a low-loss waveguide circulator constructed with single-crystalline yttrium iron garnet (YIG) in a 3D cavity. We show the coherent coupling of its chiral internal modes with integrated superconducting niobium cavities. We also probe experimentally the effective non-Hermitian dynamics of this system and its effective non-reciprocal eigenmodes.
  arXiv  Detail & Related papers  (2021-06-21T17:34:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.