Weak Ergodicity Breaking in the Schwinger Model
- URL: http://arxiv.org/abs/2203.08830v2
- Date: Wed, 20 Apr 2022 14:45:59 GMT
- Title: Weak Ergodicity Breaking in the Schwinger Model
- Authors: Jean-Yves Desaules, Debasish Banerjee, Ana Hudomal, Zlatko Papi\'c,
Arnab Sen, Jad C. Halimeh
- Abstract summary: We study QMBS in spin-$S$ $mathrmU(1)$ quantum link models with staggered fermions.
We find that QMBS persist at $S>1/2$, with the resonant scarring regime, which occurs for a zero-mass quench.
Our results conclusively show that QMBS exist in a wide class of lattice gauge theories in one spatial dimension.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: As a paradigm of weak ergodicity breaking in disorder-free nonintegrable
models, quantum many-body scars (QMBS) can offer deep insights into the
thermalization dynamics of gauge theories. Having been first discovered in a
spin-$1/2$ quantum link formulation of the Schwinger model, it is a fundamental
question as to whether QMBS persist for $S>1/2$ since such theories converge to
the lattice Schwinger model in the large-$S$ limit, which is the appropriate
version of lattice QED in one spatial dimension. In this work, we address this
question by exploring QMBS in spin-$S$ $\mathrm{U}(1)$ quantum link models
(QLMs) with staggered fermions. We find that QMBS persist at $S>1/2$, with the
resonant scarring regime, which occurs for a zero-mass quench, arising from
simple high-energy gauge-invariant initial states. We furthermore find evidence
of detuned scarring regimes, which occur for finite-mass quenches starting in
the physical vacua and the charge-proliferated state. Our results conclusively
show that QMBS exist in a wide class of lattice gauge theories in one spatial
dimension represented by spin-$S$ QLMs coupled to dynamical fermions.
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