I am a condensed matter physicist who uses large-scale computer simulations to exotic phases of strongly correlated quantum systems. Some of the current focus areas of my research are listed below. My publications can be found online on the arXiv or under my ReseacherID at Thomson Reuters.
If you would like to get in touch, you can reach out to me at email@example.com or find me in my office in Elings Hall, Rm. 2231.
Quantum Algorithms for Quantum Simulation
Simulating quantum systems is one of the obvious applications for a general-purpose programmable quantum computer. However, only recently have the available algorithms been explored with an eye towards practical applicability, and major issues in the scaling have been identified. We have been working on estimating the resource requirements for quantum simulation to go beyond what can be achieved classically, and at the same time made many improvements to the existing algorithms.
Protecting quantum information from decoherence, in particular due to coupling from the environment, is one of the great challenges in building a quantum computer. This has motivated us to look into the possibility of stabilizing topological phases using many-body localization - the persistence of Anderson insulating phases against weak interactions.
Tensor network states and entanglement
Many recent advances in strongly correlated systems have been inspired by quantum information theory, and in particular the theory of entanglement in ground states of quantum systems. This has led to the development of powerful tensor network approaches to one- and two-dimensional quantum systems, which serve both as numerical tools as well as providing a natural language to describe many exotic phases analytically. Making use of these states, as well as entanglement diagnostics for the nature of quantum phases, has been one of the focal points of my research.
Topological phases in quantum systems
Topological phases form the basic building blocks of a topological quantum computer, and as such are the focus of our attention here at Station Q. My work has been exploring topological phases both in mesoscopic superconducting systems, where the most promising experimental platforms are found, as well as in systems of strongly interacting electrons or spins. This includes topological liquid phases in frustrated spin systems, which have for decades formed a playground in the search for exotic phases.
- M.B. Hastings, D. Wecker, B. Bauer, and M. Troyer, Improving Quantum Algorithms for Quantum Chemistry, in arXiv, 6 March 2014.