Project Level: Summer

Project Duration: 6 weeks

Hours of Engagement: 30

Project Description: 

The project aims to develop theoretical tools to model and understand out-ofequilibrium behaviour of quantum fluids. Such fluids are formed in interacting many-particle systems at ultra-low temperatures, and understanding how these complex systems evolve dynamically when driven out of equilibrium remains a grand-challenge of modern quantum physics. The project intends to study the intriguing dynamical properties of quantum fluids formed by ultra-cold atomic gases, in particular, by atomic Bose and Fermi gases in one-dimensional (1D) waveguides. In such 1D waveguides, and more generally in systems of reduced dimensionality, the effects of quantum and thermal fluctuations are enhanced, compared to three-dimensional systems. As such, theoretical modelling of these systems confronts the challenges of quantum many-body physics heads on. Systems of reduced dimensionality are expected to play an increasingly important role in future quantum technologies, with its ever evolving trend in miniaturisation of electronic devices and precision measurement instruments. The expected outcomes of the project are the knowledge and theoretical tools required to underpin advances in quantum engineering applications, such as the design of quantum heat engines, the control of heat conduction in quantum nanowires and carbon nanotubes, and the fabrication of new energy-efficient materials.

Specific sub-projects include:

• Development of new hydrodynamic theories of 1D quantum fluids at Euler and Navier-Stokes scales

• Whitlam modulation theory for propagation of 1D quantum shock waves

• Collective modes of 1D quantum fluids from the theory of Generalised Hydrodynamics (GHD)

• Quantum transport in 1D quantum fluids

• Quantum heat engines with ultra-cold atomic gases

Expected Outcomes:

Students will gain research experience in modern physics and will be expected to write a short (no more than 10 pages) project report.

Suitable for:

This project is open to applications from 3rd year students with excellent background in physics and maths.

Contact for further information:

Professor Karen Kheruntsyan:

Project members

Professor Karen Kheruntsyan

School of Mathematics and Physics