High temperature adiabatic flows in ergodic systems
Presented by Anatoli Polkovnikov, Boston University
I will discuss the structure of local generators of adiabatic transformations in ergodic Hamiltonians. These generators play a key role in many different setups like finding quantum speed limit bounds, quantum information geometry, shortcuts to adiabaticity, Schrieffer Wolff transformations, Floquet Hamiltonians, Wilson-Wegner flows and many more. While mathematically these generators are ill defined in quantum chaotic systems, they can allow for very accurate local approximations in certain directions. Using an example of a specific nonintegrable Ising chain I will show that these generators are highly anisotropic allowing one to define adiabatic flows connecting families of Hamiltonians. These flows are very reminiscent of Renormalization Group flows. I will also show that near singular (massively
degenerate) points one can define special (dark) states which are very stable to adiabatic deformations. Such special states are analogous to recently discovered quantum scars.
3:30 pm, Thursday, October 24, 2019
PANDA-190/PAIS-2540, Physics & Astronomy
Northeast corner of Lomas and Yale, Albuquerque, New Mexico
Individuals with disabilities who need an auxiliary aid or service to attend or participate in P&A events should contact Sandra Ortiz (phone: 505-277-5900, email: email@example.com) well in advance to ensure your needs are accomodated. Event handouts can be provided in alternative accessible formats upon request. Please contact Mrs. Ortiz if you need written information in an alternative format.
A schedule of talks within the Department of Physics and Astronomy is available on the P&A web site at http://physics.unm.edu/pandaweb/events/index.php