Integrability, Thermalization, and Quantum Scars in a Constrained Hamiltonian
Invited
Abstract
We study the quantum dynamics of a simple translation invariant, center-of-mass preserving model of interacting fermions in one dimension, which arises in multiple experimentally realizable contexts. We show that this model exhibits a Hilbert space that fractures into exponentially many dynamically disconnected Krylov subspaces. Each of the exponentially large Krylov subspaces can either be integrable or non-integrable. We analytically find examples of several integrable subspaces, and show evidence for the validity of Eigenstate Thermalization Hypothesis (ETH) restricted to each non-integrable subspace. This model thus exhibits phenomenology associated with quantum scars, i.e. the fate of an initial product state under time-evolution depends on the properties of the Krylov subspaces it has weights in. In addition, some of the non-integrable Krylov subspaces show conventional quantum scars, which manifest as revivals and slow thermalization of certain charge density wave configurations.
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Presenters
Sanjay Moudgalya
Physics, Princeton University
Authors
Sanjay Moudgalya
Physics, Princeton University
Abhinav Prem
Princeton Center for Theoretical Sciences, Princeton University, Princeton University
Rahul Nandkishore
Physics, University of Colorado, Boulder, University of Colorado, Boulder, Department of Physics, University of Colorado, Boulder, University of Colorado Boulder
Nicolas Regnault
Ecole Normale Superieure, Princeton University, Department of Physics, Princeton university, Physics department, Princeton University
Andrei Bernevig
Physics, Princeton University, Princeton Center for Theoretical Science, Princeton University, Princeton University, Department of Physics, Princeton university, Physics department, Princeton University
