CANCELLED From quantum many-body scars to optimal steering and energy superdiffusion

  • Starts: 1:30 pm on Thursday, December 15, 2022
  • Ends: 2:30 pm on Thursday, December 15, 2022
I will review a new mechanism of the weak ergodicity breaking from quantum many-body scars. This mechanism arises from the presence of special eigenstates in the many-body spectrum that are reminiscent of quantum scars in chaotic non-interacting systems. I will demonstrate that quantum many-body scars appear in the PXP model with a constrained local Hilbert space which can be realized by a Rydberg chain. Next, I will discuss the relation between scars and time dependent variational principle over matrix product states (TDVP). I will formulate the solution to the optimal control problem that relies on TDVP language and demonstrate that this approach allows to construct nontrivial Floquet models with quantum many-body scars. Finally, I will demonstrate the anomalous energy transport in the PXP model with quantum scars, and will discuss the potential relation between quantum scars, TDVP trajectories, and transport.
SCI 352
Maksym Serbyn,
Institute of Science and Technology, Vienna, Austria
Anatoli Polkovnikov