Quantum Many-Body Scars for Arbitrary Integer Spin in $2+1$D~Abelian Gauge Theories

Author:

Thea Budde, Marina Krstić Marinković, Joao C. Pinto Barros

Keyword:

High Energy Physics - Lattice, High Energy Physics - Lattice (hep-lat), Quantum Gases (cond-mat.quant-gas), Strongly Correlated Electrons (cond-mat.str-el), Quantum Physics (quant-ph)

journal:

date:

2024-03-13 00:00:00

Abstract

The existence of Quantum Many-Body Scars, high-energy eigenstates that evade the Eigenstate Thermalization Hypothesis, has been established across different quantum many-body systems, including gauge theories corresponding to spin-1/2 Quantum Link Models. We systematically identify scars for pure gauge theories with arbitrarily large integer spin $S$ in $2+1$D, concretely for Truncated Link Models, where the electric field is restricted to $2S+1$ states per link. Through an explicit analytic construction, we show that the presence of scars is widespread in $2+1$D gauge theories for arbitrary integer spin. We confirm these findings numerically for small truncated spin and $S=1$ Quantum Link Models. The proposed analytic construction establishes the presence of scars far beyond volumes and spins that can be probed with existing numerical methods.

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