Variational Schrieffer-Wolff Transformations for Quantum Many-Body Dynamics

Speaker: Jonathan Wurtz

When: December 13, 2019 (Fri), 12:00PM to 01:00PM (add to my calendar)
Location: SCI 352

This event is part of the Departmental Seminars.

This talk will detail improvements and implementations of Schrieffer-Wolff methods applied to quantum many body systems. Building on recent results for variational ansatz of gauge potentials, we propose and demonstrate a new approach to compute a generator of rotations for SW transformations in fermion and spin lattices. Due to this variational nature, the method goes beyond standard perturbative regimes and has accuracy controlled by the locality of the ansatz. This allows for precision non-equilibrium many-body non-equilibrium dynamics far from exactly solvable regimes, and can be considered as improvements to the Truncated Spectrum Approach.

Dissertation Committee: Anatoli Polkovnikov, Steve Ahlen, Bill Klein, Chris Laumann, Liam Fitzpatrick