Shortcuts to adiabaticity using flow-fields

Speaker: Ayoti Patra, Maryland

When: April 14, 2017 (Fri), 11:00AM to 12:00PM (add to my calendar)
Location: SCI 328

This event is part of the Condensed Matter Theory Seminar Series.

Adiabatic invariants – quantities that are preserved under the slow driving of a system’s external parameters – are important in classical mechanics, quantum mechanics and thermodynamics. Shortcuts to adiabaticity are strategies for preserving adiabatic invariants even under rapid driving. One such strategy utilizes an auxiliary counterdiabatic term to suppress the non-adiabatic excitations arising due to rapid driving. I will describe a unified framework for obtaining counterdiabatic terms using flow-fields. In the flow-fields approach, an appropriate integrated function (IF) is first defined. The flow-field parameters namely the velocity and acceleration are derived from the IF. Counterdiabatic terms can then be constructed using simple equations involving the flow-field parameters. I will illustrate that the flow-fields framework provides 'shortcuts' for quantum, classical as well as stochastic systems.