An introduction to quantum criticality
I will give an introduction to zero temperature quantum phase transitions in the context of quantum statistical mechanics. I will begin by reviewing classical thermal phase transitions and then introduce quantum fluctuations that drive the critical temperature to zero, resulting in a quantum critical point (QCP) and the corresponding finite temperature quantum critical fan. I will show how quantum fluctuations appear in the role of extra “spatial” dimensions generalizing Landau-Ginzburg theory to quantum mechanical systems. I will then discuss the QCP in the Bose-Hubbard model, which is a quintessential model in the context of ultra cold atomic gases. If time permits I will also discuss the case of itinerant quantum phase transitions in correlated electronic systems.
(The JQI summer school is for students and postdocs, but others are welcome to join for refreshments afterwards; Discussion with pizza and refreshments at 5:00pm)
Host- Stephen Ragole