Register now After registration you will be able to apply for this opportunity online.
This opportunity is not published. No applications will be accepted.
Three-mode coupling in a single levitated nanoparticle
The objective of this project is to understand the origin of this coupling in a quantitative way. The Student will
i. perform spectroscopy measurements to explore the parameter space of resonance frequencies and damping rates, Ω𝑖 and γ𝑖 respectively.
ii. Study the dependence of the coupling rates on the displacement amplitudes.
iii. Derive a model to explain the experiments.
A nanosphere levitated in optical tweezers is the prototypical example of isolated mechanical system and has been used to study disparate phenomena, from stochastic thermodynamics to quantum physics.
For small displacement amplitudes, the center-of-mass motion along the three spatial directions can be thought as three independent harmonic resonators, characterized by their own mechanical resonance frequency, Ω𝑖, and damping rate, γ𝑖. Recently, we have observed that we the three modes are set up to be almost degenerate (by means of a standing wave trap), their resonance frequencies split (see Figure 1). This phenomenon, known as normal mode splitting, indicates the presence of three-mode coupling between the motional directions of the nanoparticle’s center-of-mass.
The objective of this project is to understand the origin of this coupling in a quantitative way. The Student will
i. perform spectroscopy measurements to explore the parameter space of resonance frequencies and damping rates, Ω𝑖 and γ𝑖 respectively.
ii. Study the dependence of the coupling rates on the displacement amplitudes.
iii. Derive a model to explain the experiments.
A nanosphere levitated in optical tweezers is the prototypical example of isolated mechanical system and has been used to study disparate phenomena, from stochastic thermodynamics to quantum physics. For small displacement amplitudes, the center-of-mass motion along the three spatial directions can be thought as three independent harmonic resonators, characterized by their own mechanical resonance frequency, Ω𝑖, and damping rate, γ𝑖. Recently, we have observed that we the three modes are set up to be almost degenerate (by means of a standing wave trap), their resonance frequencies split (see Figure 1). This phenomenon, known as normal mode splitting, indicates the presence of three-mode coupling between the motional directions of the nanoparticle’s center-of-mass. The objective of this project is to understand the origin of this coupling in a quantitative way. The Student will i. perform spectroscopy measurements to explore the parameter space of resonance frequencies and damping rates, Ω𝑖 and γ𝑖 respectively. ii. Study the dependence of the coupling rates on the displacement amplitudes. iii. Derive a model to explain the experiments.