## Professor Matthew Davis

##### Head of Physics

Matthew joined the University of Queensland as a UQ postdoctoral fellow in 2002. He then held a fixed term lecturing position, before being appointed to a continuing position in 2005. He is now an ARC QEII fellow.

**Located in Building**6 - Room 403

**Phone:**69824

*This an external website. The views and opinions that may be expressed in it are not of The University of Queensland.*

**Research Interests**Ultra-cold atom gases, in particular non-equilibrium quantum dynamics and non-classical correlations

## Available Projects

Title | Body | Level |
---|---|---|

Superfluidity in a trapped Bose-Einstein condensate with an oscillating barrier |
Floquet theory finds solutions to Hamiltonian systems that are periodic in time. They are easy to find via ... |
Honours Project Summer Project |

Finite temperature Josephson junctions |
When two superfluids are connected by a weak link, they exhibit the Josephson effect – oscillations in the current between the two fluids. This project would... |
Honours Project Summer Project |

Nonequilibrium superfluid flows |
See Mason, D. J., Borunda, M. F., & Heller, E. J. (2015). Revealing the flux: Using processed Husimi maps to visualize dynamics of bound systems and... |
Honours Project Summer Project |

Thermodynamics in the microcanonical ensemble |
Some recent developments in statistical mechanics have come up with new geometric interpretations of thermodynamic quantities. This project would look at applying these ideas to the Bose gas. In particular, it would be to analytically incorporate additional conserved quantities into... |
Masters Project Honours Project Summer Project |

Nonequilibrium superfluidity in polariton condensates |
Polariton condensates occur in two-dimensional semiconductor microcavities pumped by a laser. The light excites electrons from the valence band to the conduction band,... |
PhD Project Masters Project Honours Project Summer Project |

Pairing phase of the degenerate Bose gas |
In the 1970s there was speculation that the cause of superfluidity in helium-4 was not due to Bose-Einstein condensation, but a form of Cooper pairing between attractive bosons,... |
Masters Project Honours Project Summer Project |

Thermalisation of a spin-1 Bose gas in a double well |
This project simulates the quantum dynamics of a “spin-1” Bose gas in a double well potential. A spin-1 gas has three spin components, which can interconvert due to spin-collisions (... |
Honours Project Summer Project |

Nonequiilbrium flows and superfluid turbulence in dilute gas Bose-Einstein condensates |
Dilute gas Bose-Einstein condensates (BECs) were experimentally observed for the first time in 1995, more than seventy years after their initial proposal by Einstein. Like helium-4 below the lambda point, they exhibit the defining... |
PhD Project Honours Project |

Monte-Carlo algorithm for sampling the thermodynamic properties of the 1D Bose gas at finite temperature |
The stochastic Gross-Pitaevskii formalism can sample the grand-canonical ensemble for the interacting Bose gas by assuming the ergodic hypothesis that time evolution fairly... |
Honours Project Summer Project |

Quantum thermalisation |
How do isolated quantum systems thermalise? Isolated quantum systems undergo unitary evolution which preserves the entropy. However, at the level of statistical mechanics, any disturbance will lead to an increase in entropy... |
PhD Project Honours Project Summer Project |