Quantum gases with high partial-wave scattering
Grant Data
Project Title
Quantum gases with high partial-wave scattering
Principal Investigator
Professor Zhang, Shizhong
(Principal Investigator (PI))
Duration
60
Start Date
2023-01-01
Amount
5155380
Conference Title
Quantum gases with high partial-wave scattering
Keywords
Bose Condensation, Fermi liquid theory, Three-body interactions, Viscosity, Optical lattices
Discipline
Physics
HKU Project Code
RFS2223-7S03
Grant Type
RGC Research Fellow Scheme (RFS) 2022/23
Funding Year
2022
Status
On-going
Objectives
1. Use Boltzmann equation and Landau-Boltzmann equation to compute the shear viscosity at high and low temperature of a single component Fermi gas and determine its dependences on temperature as well as p-wave scattering parameters. Compare the results with those obtained using the diagrammatic approach based on Kubo formula. Investigate
other transport coefficient such as heat conductivity.
2. Investigate possible novel ground state of a two-component Bose gas with inter-species p-wave interaction using a variational wave function that describes a fragmented Bose condensate. Construct the appropriate Gross-Pitaevskii equations and discuss the stability, excitation and correlation properties of the system.
3. Study the scattering properties of one-dimensional fermions when population of excited transverse bands is important. Discuss how it gives rise to effective s-wave scattering and calculate the radio-frequency line-shape and explore band relaxation mechanisms. Furthermore, explore the coupled Luttinger liquid physics with mixed even and odd scatterings by calculating conductivity and viscosity, and make relevant experimental
predictions