Harnessing the Sign Problem to study Quantum Magnetism and Metal-Insulator Transitions

Richard Scalettar (University of California, Davis)

October 7
2:00 p.m

Abstract:
Over the last five decades the Hubbard Hamiltonian has evolved from a qualitative description of the origin of insulating and magnetic behavior in solids to providing quantitative insight into superconductivity and stripe formation in the cuprates.  As one of the key models of condensed matter phenomena, it is a prime target for quantum emulation platforms.  Interest in the latter is driven by the central failure of Quantum Monte Carlo- the fermion “sign problem” which makes the model insoluble on classical computers by stochastic methods.
In this talk I will review some of the rich history of the Hubbard Hamiltonian and then turn to recent work in our group where we have shown that the sign problem can be used as a tool to study thermal and quantum phase transitions in many electron systems.

The talk recording can be found here.