Staircase mechanical energy growth in optomechanical systems of median mechanical frequencies

• URL: http://arxiv.org/abs/2605.00338v1
• Date: Fri, 01 May 2026 01:42:41 GMT
• Title: Staircase mechanical energy growth in optomechanical systems of median mechanical frequencies
• Abstract summary: cavity optomechanical systems (COMS) exhibit dynamical phenomena such as back-action induced oscillation, chaos, mechanical amplitude locking, and anomalous stabilization.<n>We here identify a previously unknown dynamical pattern of staircase evolution for the energy of mechanical resonator, when a COMS with neither very large nor very small built-in mechanical frequency is driven by a two-tone field.<n>Some special features, such as an emergent bifurcation due to the tone power difference, are discovered to exist only in this type of COMS with median mechanical frequencies.
• Score: 10.849923401204313
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: Owing to the radiation-force-induced nonlinearity, cavity optomechanical systems (COMS) exhibit dynamical phenomena such as back-action induced oscillation, chaos, mechanical amplitude locking, and anomalous stabilization, which occur under different driving conditions and different system parameters. We here identify a previously unknown dynamical pattern of staircase evolution for the energy of mechanical resonator, when a COMS with neither very large nor very small built-in mechanical frequency is driven by a two-tone field, which satisfies a condition that the frequency difference of the two tones matches the built-in mechanical frequency. The properties of this phenomenon are analyzed for the different system parameters due to fabrication such as mechanical frequencies and quality factors, as well as under the varied driving conditions such as unequal drive tone powers and mismatched drive tone difference from the mechanical frequency. Some special features, such as an emergent bifurcation due to the tone power difference, together with the totally different responses of the system to the drive tone mismatches of opposite signs, are discovered to exist only in this type of COMS with median mechanical frequencies. This work fills a gap in the study of the dynamics of COMS under two-tone drives. In the aspect of applications, the rapid increase of mechanical energy exhibited in the phenomenon promises phonon laser generation, and the sensitive dynamical response to the drive tone mismatches offers a potential approach to high-precision sensing.

Related papers

• Optical Entanglement Facilitated by Opto-Mechanical Cooling [41.99844472131922]
  We present a theoretical study of low frequency entanglement generation between two optical harmonics emitted from a cavity optomechanical system operating in the resolved-sideband regime.<n>Our findings demonstrate the feasibility of robust entanglement under ambient conditions, opening new avenues for hybrid quantum technologies based on mechanical interfaces and continuous-variable quantum information processing.
  arXiv  Detail & Related papers  (2025-11-21T13:41:58Z)
• High-order interactions in quantum optomechanics: fluctuations, dynamics and thermodynamics [43.20124754273943]
  We study high-order resonant wall-field interactions characterized by two- and three-phonon scattering processes.<n>The presence of high-order terms in the Hamiltonian drastically affects the populations of all particles, as well as the entropy production rate.
  arXiv  Detail & Related papers  (2025-05-31T19:37:05Z)
• Controlling complex dynamics with synthetic magnetism in optomechanical systems: A route to enhanced sensor performance [0.20616237122336117]
  We study the complex nonlinear dynamics of an optomechanical system featuring an optical cavity coupled to two mechanical resonators interconnected by a phase-dependent interaction.<n>Our findings reveal a rich spectrum of dynamics, including bistability (coexistence of two steady states) and the emergence of complex attractors such as self-excited oscillations, hidden attractors, and chaos.<n>The presence of tunable bistability and sensitive chaotic regimes offers significant potential for practical applications.
  arXiv  Detail & Related papers  (2025-02-17T21:45:44Z)
• Nonlinear optomechanical systems with quasi-periodic and chaotic dynamics [0.0]
  Model optomechanical systems with photon-vibration interactions linear, quadratic, and cubic in mechanical displacements are studied.<n>The opportunity of transformation of effective potential describing the dynamics of the mechanical resonator is demonstrated.
  arXiv  Detail & Related papers  (2025-01-20T09:07:19Z)
• Effect of linear and quadratic coupling on dynamical parameters of an optomechanical oscillator [0.361593752383807]
  We study in detail the modification of the mechanical frequency and damping rate taking into account both the linear and quadratic coupling.<n>Results help clarifying the origin of the modification of the susceptibility function for cooling of the mechanical mode.
  arXiv  Detail & Related papers  (2025-01-20T03:10:25Z)
• 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)
• Realizing a mechanical dynamical Casimir effect with a low-frequency oscillator [0.0]
  We propose to realize a mechanical dynamical Casimir effect (MDCE) in a hybrid optomechanical system.<n>It is not a quantum simulation of a parametric DCE such as in superconducting circuits.<n>It is found that the mechanical frequency can be about two orders smaller than the cavity mode in yielding a remarkable flux of DCE photons.
  arXiv  Detail & Related papers  (2024-08-05T08:38:44Z)
• Two-Level System Nanomechanics in the Blue-Detuned Regime [0.0]
  We study a mechanical oscillator coupled to a two-level system driven by a blue-detuned coherent source in the resolved sideband regime.<n>For weak mechanical damping, we find dynamical instabilities leading to limit cycles.<n>The phonon-number fluctuations exhibit a strikingly similar behavior.
  arXiv  Detail & Related papers  (2024-07-25T10:11:44Z)
• Dissipative stabilization of maximal entanglement between non-identical emitters via two-photon excitation [49.1574468325115]
  Two non-identical quantum emitters, when placed within a cavity and coherently excited at the two-photon resonance, can reach stationary states of nearly maximal entanglement. We show that this mechanism is merely one among a complex family of phenomena that can generate both stationary and metastable entanglement when driving the emitters at the two-photon resonance.
  arXiv  Detail & Related papers  (2023-06-09T16:49:55Z)
• Unconditional Wigner-negative mechanical entanglement with linear-and-quadratic optomechanical interactions [62.997667081978825]
  We propose two schemes for generating Wigner-negative entangled states unconditionally in mechanical resonators. We show analytically that both schemes stabilize a Wigner-negative entangled state that combines the entanglement of a two-mode squeezed vacuum with a cubic nonlinearity. We then perform extensive numerical simulations to test the robustness of Wigner-negative entanglement attained by approximate CPE states stabilized in the presence of thermal decoherence.
  arXiv  Detail & Related papers  (2023-02-07T19:00:08Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)
• Cat states in a driven superfluid: role of signal shape and switching protocol [62.997667081978825]
  We investigate the behavior of a one-dimensional Bose-Hubbard model whose kinetic energy is made to oscillate with zero time-average. We analyze the robustness of this unconventional ground state against variations of a number of system parameters.
  arXiv  Detail & Related papers  (2020-05-11T15:15:06Z)

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.