Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
Apr 29, 2019Published in:
- Phys.Rev.Lett. 122 (2019) 17, 173401
- Published: Apr 29, 2019
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Abstract: (APS)
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'' showing nonthermal behavior in the Hamiltonian as potentially responsible for the atypical dynamics. In the same nonintegrable Hamiltonian, we discover several eigenstates at an infinite temperature that can be represented exactly as matrix product states with a finite bond dimension, for both periodic boundary conditions (two exact states) and open boundary conditions (two states and one each E=\ifmmode\pm\else\textpm\fi{}\sqrt{2}). This discovery explicitly demonstrates the violation of the strong eigenstate thermalization hypothesis in this model and uncovers exact quantum many-body scar states. These states show signatures of translational symmetry breaking with a period-2 bond-centered pattern, despite being in one dimension at an infinite temperature. We show that the nearby many-body scar states can be well approximated as ``quasiparticle excitations'' on top of our exact scar states and propose a quasiparticle explanation of the strong oscillations observed in experiments.- Condensed Matter, Materials & Applied Physics
- Atomic, Molecular & Optical
- Quasiparticles & collective excitations
- Rydberg atoms & molecules
- Exact solutions for many-body systems
- Matrix product states
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