Tensor network methods for computational quantum many-body problems Primary Supervisor: Dr Ian McCulloch
Suitable for: Requires a background in: intermediate-level quantum mechancis (bra and ket notation, basic notions of 2nd quantization); basic linear algebra, including matrices, eigenvalues; working knowledge of a computer programming language (such as Matlab, Phython, C, Julia, etc) is essential.
Project description: Tensor Networks provide a representation of a quantum many-body wave-function (or a classical partition function) that is suitable for computational methods, mainly for low-dimensional problems (1D and 2D). In this project, you will write a computer program to simulate the ground-state and/or time evolution of a quantum many-body state, such as a chain of bosons or fermions. If time permits the scholar will be able to use this program to investigate some aspects of quantum many-body physics, such as phase transitions or particle fractionalization.
Expected outcomes: The scholar will develop a computer program to simulate many-body quantum systems using tensor networks. In the process the scholar will learn about optimization algorithms, large-scale eigenvalue problems, unitary evolution of quantum states, and many-body quantum mechanics and the role of quantum entanglement.
Project duration: 6 weeks
Primary Supervisor: Dr Ian McCulloch Further information: For further information and background, see https://people.smp.uq.edu.au/IanMcCulloch/mptoolkit/ Students must contact the supervisor, Dr Ian McCulloch at email@example.com prior to submitting an application.