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Title:
Infinite temperature adiabatic flows in ergodic systems
Speaker:
Abstract:
I will discuss the structure generators of adiabatic transformations in ergodic Hamiltonians.Using an example of a specific nonnintegrablee Ising chain I will show that they are highly anisotropic allowing one to define adiabatic flows connecting families of Hamiltonians. These flows are very reminiscent of RG flows. I will also show that near singular (massively degenerate) points one can define special states which are very stable to adiabatic deformations. Such states bear direct analogy both to recently introduced quantum scars and to many body dark states in the language of quantum optics.
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