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Exact Eigenstates in the Rydberg-blockaded Atom Chain Which Violate the Eigenstate Thermalization Hypothesis

Friday, December 7, 2018
12:00 PM - 1:00 PM
Location: East Bridge 114
Cheng Ju (Jacob) Lin, Graduate Student, Motrunich Group

Abstract: A recent experiment in the Rydberg atom chain observed unusual oscillatory quench dynamics with a charge density wave initial state, and theoretical works identified a set of many-body ``scar states'' in the Hamiltonian as potentially responsible for the atypical dynamics. In the same nonintegrable Hamiltonian, we discover several eigenstates at infinite temperature that can be represented exactly as matrix product states with finite bond dimension, for both periodic boundary conditions (two exact E = 0 states) and open boundary conditions (two E = 0 states and one each E = ± √2). This discovery explicitly demonstrates violation of strong eigenstate thermalization hypothesis in this model. We show that the nearby many-body scar states can be well approximated as ``quasiparticle excitations" on top of our exact E = 0 states, and propose a quasiparticle explanation of the strong oscillations observed in experiments.

Series: IQIM Postdoctoral and Graduate Student Seminar Series
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