Controlling complex dynamics with synthetic magnetism in optomechanical systems: A route to enhanced sensor performance

• URL: http://arxiv.org/abs/2502.12336v1
• Date: Mon, 17 Feb 2025 21:45:44 GMT
• Title: Controlling complex dynamics with synthetic magnetism in optomechanical systems: A route to enhanced sensor performance
• Authors: Deivasundari Muthukumar, Stella Rolande Mbokop Tchounda, Sifeu Takougang Kingni, Karthikeyan Rajagopal, Serge Guy Nana Engo,
• Abstract summary: We derive the system's semiclassical dynamical equations from the optomechanical Hamiltonian. We illustrate the emergence of novel dynamic behaviors and demonstrate their pertinence for the development of new devices. These findings bear significant implications for applications in ultra-sensitive sensing, chaos-based communication, and tunable phononic circuits.
• Score: 0.20616237122336117
• License:
• Abstract: This paper explores the intricate dynamical behavior of an optomechanical system consisting of an optical resonator that drives two mechanically coupled resonators via phase-dependent phonon hopping. Addressing previous limitations in comprehending the dynamics of such systems, we derive the system's semiclassical dynamical equations from the optomechanical Hamiltonian, resulting in a set of six first-order ordinary differential equations. We subsequently illustrate the emergence of novel dynamic behaviors and demonstrate their pertinence for the development of new devices. The system exhibits either two or no steady states, contingent upon the incident radiation, mechanical coupling rate, and frequency detuning. Our stability analysis indicates that the stability of these states is determined by the same factors. We identify complex dynamical behaviors, including monostable and bistable self-excited quasi-periodic characteristics, the coexistence of hidden oscillations, and chaotic dynamics, and we propose a method for their control. These findings bear significant implications for applications in ultra-sensitive sensing, chaos-based communication, and tunable phononic circuits. This study enhances the broader understanding of complex dynamical systems in optomechanics, paving the way for the development of advanced optomechanical devices with controlled dynamics for stable and reliable operation.

Related papers

• Simultaneous photon and phonon lasing in a two-tone driven optomechanical system [1.81283871144609]
  We show how to achieve simultaneous lasing of photons and phonons in optomechanical setups. Our work paves the way for the development of novel strategies for the optimisation of optomechanical interactions.
  arXiv  Detail & Related papers  (2024-10-03T17:16:41Z)
• Realizing mechanical dynamical Casimir effect with low-frequency oscillator [0.0]
  We realize the mechanical dynamical Casimir effect (DCE) in a hybrid optomechanical system. The mechanical energy is found to be directly converted into the output photons through a three-wave-mixing mechanism. It is found that the mechanical frequency can be about two orders of magnitude smaller than the output 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. For weak mechanical damping, we find dynamical instabilities leading to limit cycles. The phonon-number fluctuations exhibit a strikingly similar behavior.
  arXiv  Detail & Related papers  (2024-07-25T10:11:44Z)
• Robust Hamiltonian Engineering for Interacting Qudit Systems [50.591267188664666]
  We develop a formalism for the robust dynamical decoupling and Hamiltonian engineering of strongly interacting qudit systems. We experimentally demonstrate these techniques in a strongly-interacting, disordered ensemble of spin-1 nitrogen-vacancy centers.
  arXiv  Detail & Related papers  (2023-05-16T19:12:41Z)
• Semiclassical dynamics of a superconducting circuit: chaotic dynamics and fractal attractors [0.0]
  We derive the equations of motion for the circuit through a Hamiltonian description of the problem. We find that the dynamics of the system corresponds to that of a planar rotor with an oscillating pivot.
  arXiv  Detail & Related papers  (2023-03-30T16:03:04Z)
• Probing dynamics of a two-dimensional dipolar spin ensemble using single qubit sensor [62.997667081978825]
  We experimentally investigate individual spin dynamics in a two-dimensional ensemble of electron spins on the surface of a diamond crystal. We show that this anomalously slow relaxation rate is due to the presence of strong dynamical disorder. Our work paves the way towards microscopic study and control of quantum thermalization in strongly interacting disordered spin ensembles.
  arXiv  Detail & Related papers  (2022-07-21T18:00:17Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Multi-Photon Resonances in Josephson Junction-Cavity Circuits [0.0]
  We show that coherent effects can lead to surprising oscillations in the weight of the different dynamical states in the steady state of the system with increasing drive. We show that the dynamics is well-described by a simple effective rate model with transitions between states localised at different points in the phase space crystal.
  arXiv  Detail & Related papers  (2020-12-18T10:23:38Z)
• Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
  We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback. The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
  arXiv  Detail & Related papers  (2020-06-20T10:07:01Z)
• Euclideanizing Flows: Diffeomorphic Reduction for Learning Stable Dynamical Systems [74.80320120264459]
  We present an approach to learn such motions from a limited number of human demonstrations. The complex motions are encoded as rollouts of a stable dynamical system. The efficacy of this approach is demonstrated through validation on an established benchmark as well demonstrations collected on a real-world robotic system.
  arXiv  Detail & Related papers  (2020-05-27T03:51:57Z)
• 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.