Reconfigurable chaos in electro-optomechanical system with negative Duffing resonators

Abstract

Generating various laser sources is important in the communication systems. We propose an approach that uses a mechanical resonator coupled with the optical fibre system to produce periodic and chaotic optical signals. The resonator is structured in such a way that the nonlinear oscillation occurs conveniently. The mechanical apparatus in the configuration is the well known resonating system featured by the negative stiffness. The mechanical resonance is converted to reflected optical signal with the same dynamic properties as the mechanical oscillation, subsequently interacting with the optical signal within the optical fibre. The optical radiative force on the mechanical structure is also considered in the analysis. The coupled electro-optomechanical system has been analysed, and results show that the mechanical resonator has the capability to control the dynamics of the optical signal precisely. The system will have potential applications in tunable laser sources.

Atomic quadrature squeezing and quantum state transfer in a hybrid atom–optomechanical cavity with two Duffing mechanical oscillators

“…For example, the investigation of the quantum and classical dynamics of an anharmonic (nonlinear) oscillator in phase space shows that a decoherence-induced state reduction results in a quantum-to-classical transition [30]. In [31] a theoretical scheme has been proposed to generate periodic and chaotic optical signals in an electro-optomechanical system via the Duffing-type of mechanical anharmonicity. Besides, quantum anharmonic oscillators provide new possibilities for quantum state generation and manipulation in mechanical systems.…”

Synchronization enhancement of indirectly coupled oscillators via periodic modulation in an optomechanical system

“…Using the above Hamiltonian and considering relevant dissipation processes, we can further attain the following quantum Langevin equations 27 , 31 , 32 with k being the common decay rate of both cavity modes while γ m being the common damping rate of both mechanical oscillators. Moreover, describes the input noise operator of one cavity mode, exhibiting a zero mean value and satisfying the correlation relation 33 , 34 ; describes the stochastic noise operator of one mechanical oscillator, exhibiting a zero mean value and satisfying the correlation relation under the Markovian approximation. Here is the mean phonon number determined by the mechanical bath’s mean temperature T 35 – 37 .…”

Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity

“…In this expression, a j and are the creation and annihilation operators for the optical field, q j and p j are dimensionless position and momentum operators of the j -th mechanical oscillator respectively 43 , 44 . ω j are the mechanical frequencies, Δ j are the optical detunings which can be modulated with a common frequency Ω C and amplitude η C .…”