Rainbow Scars: From Area to Volume Law
- URL: http://arxiv.org/abs/2107.03416v3
- Date: Wed, 10 Nov 2021 06:11:14 GMT
- Title: Rainbow Scars: From Area to Volume Law
- Authors: Christopher M. Langlett, Zhi-Cheng Yang, Julia Wildeboer, Alexey V.
Gorshkov, Thomas Iadecola, Shenglong Xu
- Abstract summary: Quantum many-body scars (QMBS) constitute a new quantum dynamical regime in which rare "scarred" eigenstates mediate weak ergodicity breaking.
We develop a generic construction that embeds a new class of QMBS, rainbow scars, into the spectrum of an arbitrary Hamiltonian.
- Score: 1.2265985278585778
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum many-body scars (QMBS) constitute a new quantum dynamical regime in
which rare "scarred" eigenstates mediate weak ergodicity breaking. One open
question is to understand the most general setting in which these states arise.
In this work, we develop a generic construction that embeds a new class of
QMBS, rainbow scars, into the spectrum of an arbitrary Hamiltonian. Unlike
other examples of QMBS, rainbow scars display extensive bipartite entanglement
entropy while retaining a simple entanglement structure. Specifically, the
entanglement scaling is volume-law for a random bipartition, while scaling for
a fine-tuned bipartition is sub-extensive. When internal symmetries are
present, the construction leads to multiple, and even towers of rainbow scars
revealed through distinctive non-thermal dynamics. Remarkably, certain
symmetries can lead rainbow scars to arise in translation-invariant models. To
this end, we provide an experimental road map for realizing rainbow scar states
in a Rydberg-atom quantum simulator, leading to coherent oscillations distinct
from the strictly sub-volume-law QMBS previously realized in the same system.
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