Dynamical Phase Transitions Across Slow and Fast Regimes in a Two-Tone Driven Duffing Resonator
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914394457243648 |
|---|---|
| author | Kumar, Soumya S. del Pino, Javier Catalini, Letizia Eichler, Alexander Zilberberg, Oded |
| author_facet | Kumar, Soumya S. del Pino, Javier Catalini, Letizia Eichler, Alexander Zilberberg, Oded |
| contents | The response of nonlinear resonators to multifrequency driving reveals rich dynamics beyond conventional single-tone theory. We study a Duffing resonator under bichromatic excitation and identify a competition between the two drives, governed by their detuning and relative amplitudes. In the slow-beating regime, where the tones are closely spaced, the secondary drive acts as a modulation that induces dynamical phase transitions between coexisting stationary states. We introduce the cycle-averaged amplitude as an order parameter and map the resulting phase diagram as a function of the drive detuning and amplitude ratio, capturing the pronounced asymmetry observed for blue versus red detuning in experiment. We devise a model to link the onset of these transitions to the resonance properties around the nonlinear stationary mode of the system. Our results provide a framework for controlling driven nonlinear systems, enabling state manipulation, and sensing in nanomechanical, optical, and superconducting circuit platforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01985 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical Phase Transitions Across Slow and Fast Regimes in a Two-Tone Driven Duffing Resonator Kumar, Soumya S. del Pino, Javier Catalini, Letizia Eichler, Alexander Zilberberg, Oded Mesoscale and Nanoscale Physics Adaptation and Self-Organizing Systems Classical Physics Quantum Physics The response of nonlinear resonators to multifrequency driving reveals rich dynamics beyond conventional single-tone theory. We study a Duffing resonator under bichromatic excitation and identify a competition between the two drives, governed by their detuning and relative amplitudes. In the slow-beating regime, where the tones are closely spaced, the secondary drive acts as a modulation that induces dynamical phase transitions between coexisting stationary states. We introduce the cycle-averaged amplitude as an order parameter and map the resulting phase diagram as a function of the drive detuning and amplitude ratio, capturing the pronounced asymmetry observed for blue versus red detuning in experiment. We devise a model to link the onset of these transitions to the resonance properties around the nonlinear stationary mode of the system. Our results provide a framework for controlling driven nonlinear systems, enabling state manipulation, and sensing in nanomechanical, optical, and superconducting circuit platforms. |
| title | Dynamical Phase Transitions Across Slow and Fast Regimes in a Two-Tone Driven Duffing Resonator |
| topic | Mesoscale and Nanoscale Physics Adaptation and Self-Organizing Systems Classical Physics Quantum Physics |
| url | https://arxiv.org/abs/2511.01985 |