Southwest Quantum Information and Technology

Towards analog quantum simulation of strongly correlated electron systems with lithographic quantum dots

Presenting Author: Mitchell Brickson, University of New Mexico CQuIC
Contributing Author(s): Q. Campbell, N. T. Jacobson, L. N. Maurer, A. D. Baczewski

Simulation of correlated quantum systems can be prohibitively computationally expensive on classical computers. However, fabrication and control of quantum systems has come to the point where we can emulate challenging target Hamiltonians without having to classically compute their properties – analog quantum simulation. Lithographic quantum dots (QDs) are one such promising platform which map naturally onto quantum impurity models (QIMs). QIMs can be used to study strongly correlated phenomenology, either directly (e.g., the Kondo effect) or indirectly as a component of embedding-based approaches to lattice problems (e.g., dynamical mean-field theory (DMFT)). We examine the viability of designing QD systems that can capture both types of phenomenology. Effective mass theory is applied to realistic device designs to extract QIM parameters. We assess the controllability of these parameters as a function of applied voltages and gate layouts. The possibility of achieving the strongly correlated regime for three QD technologies is then studied. We conclude by evaluating the possibility of using QDs as an analog quantum coprocessor for solving the Hubbard model within DMFT. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA-0003525.

(Session 5 : Saturday from 5:00pm - 7:00pm)