Dynamics of a hybrid optomechanical system in the framework of the generalized linear response theory
arXiv:2108.08586 · doi:10.1088/1751-8121/ac40e2
Abstract
We present a theoretical study of the linear response of a driven-dissipative hybrid optomechanical system consisting of an interacting one-dimensional Bose-Einstein condensate (BEC) to an external time-dependent perturbation in the framework of the generalized linear response theory. Using the equations of motion of the open quantum system Green's function, we obtain the linear responses of the optical and atomic modes of the hybrid system and show how the atom-atom interaction of the BEC atoms affects the two normal resonances of the system as well as the anti-resonance frequency at which the optical field amplitude of the cavity becomes zero. Furthermore, an interpretation of the anti-resonance phenomenon is presented based on the the optical spectral density and the self-energy.
References in corpus (37)
- Cavity Optomechanics
- Fano resonances in nanoscale structures
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Optomechanically induced transparency
- Observation of strong coupling between a micromechanical resonator and an optical cavity field
- The Electromagnetically Induced Transparency in Mechanical Effects of Light
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Cavity Optomechanics
- Cavity Opto-Mechanics with a Bose-Einstein Condensate
- What is- and what is not- Electromagnetically-Induced-Transparency in Whispering-Gallery-Microcavities
- Parametric Normal-Mode Splitting in Cavity Optomechanics
- Feshbach resonances in rubidium 87: Precision measurement and analysis
- Measures of quantum synchronization in continuous variable systems
- Evading quantum mechanics
- Force sensing based on coherent quantum noise cancellation in a hybrid optomechanical cavity with squeezed-vacuum injection
- Normal Mode Splitting and Antibunching in Stokes and Anti-Stokes Processes in Cavity Optomechanics: Radiation Pressure Induced Four-Wave Mixing Cavity Optomechanics
- Hamiltonian chaos in a coupled BEC -- optomechanical cavity system
- Fano resonances and their control in optomechanics
- Dynamical Coupling between a Bose-Einstein Condensate and a Cavity Optical Lattice
- Semiclassical theory of cavity-assisted atom cooling
- Force sensing in hybrid Bose-Einstein condensate optomechanics based on parametric amplification
- Coherent Cancellation of Backaction Noise in optomechanical Force Measurements
- Optomechanics with two-phonon driving
- Effects of quadratic coupling and squeezed vacuum injection in an optomechanical cavity assisted with a Bose-Einstein condensate
- Quantum noise of a Bose-Einstein condensate in an optical cavity, correlations and entanglement
- Controllability of optical bistability, cooling and entanglement in hybrid cavity optomechanical systems by nonlinear atom-atom interaction
- Spectral functions and negative density of states of a driven-dissipative nonlinear quantum resonator
- Nonlinear effects of atomic collisions on the optomechanical properties of a Bose-Einstein condensate in an optical cavity
- Ultra-precision quantum sensing and measurement based on nonlinear hybrid optomechanical systems containing ultracold atoms or atomic Bose-Einstein condensate
- Intrinsic cross-Kerr nonlinearity in an optical cavity containing an interacting Bose-Einstein condensate
- Multimode mean-field model for the quantum phase transition of a Bose-Einstein condensate in an optical resonator
- Dispersive interaction of a Bose-Einstein condensate with the movable mirror of an optomechanical cavity in the presence of the laser phase noise
- Controlling steady-state bipartite entanglements and quadrature squeezing in a membrane-in-the-middle optomechanical system with two Bose-Einstein condensates
- The effect of atomic collisions on the quantum phase transition of a Bose-Einstein condensate inside an optical cavity
- A Green's function approach to the linear response of a driven dissipative optomechanical system
- Phase noise and squeezing spectra of the output field of an optical cavity containing an interacting Bose-Einstein condensate
- Back-action evading measurement of the collective mode of a Bose-Einstein condensate