Rainbow scars: From area to volume law
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 subextensive. 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.
- Authors:
-
[2];
[2];
[3];
[1]
- Texas A & M Univ., College Station, TX (United States)
- Univ. of Maryland, College Park, MD (United States); National Inst. of Standards and Technology (NIST), College Park, MD (United States)
- Iowa State Univ., Ames, IA (United States)
- Publication Date:
- Research Org.:
- Univ. of Maryland, College Park, MD (United States); Duke Univ., Durham, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF)
- OSTI Identifier:
- 1979778
- Alternate Identifier(s):
- OSTI ID: 1866516
- Grant/Contract Number:
- SC0019040; SC0019449; SC0020312; PHY-1607611; PHY-1748958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 6; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Physics; quantum entanglement; quantum scars; Rydberg atoms & molecules; many-body techniques
Citation Formats
Langlett, Christopher M., Yang, Zhi-Cheng, Wildeboer, Julia, Gorshkov, Alexey V., Iadecola, Thomas, and Xu, Shenglong. Rainbow scars: From area to volume law. United States: N. p., 2022.
Web. doi:10.1103/physrevb.105.l060301.
Langlett, Christopher M., Yang, Zhi-Cheng, Wildeboer, Julia, Gorshkov, Alexey V., Iadecola, Thomas, & Xu, Shenglong. Rainbow scars: From area to volume law. United States. https://doi.org/10.1103/physrevb.105.l060301
Langlett, Christopher M., Yang, Zhi-Cheng, Wildeboer, Julia, Gorshkov, Alexey V., Iadecola, Thomas, and Xu, Shenglong. Mon .
"Rainbow scars: From area to volume law". United States. https://doi.org/10.1103/physrevb.105.l060301. https://www.osti.gov/servlets/purl/1979778.
@article{osti_1979778,
title = {Rainbow scars: From area to volume law},
author = {Langlett, Christopher M. and Yang, Zhi-Cheng and Wildeboer, Julia and Gorshkov, Alexey V. and Iadecola, Thomas and Xu, Shenglong},
abstractNote = {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 subextensive. 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.},
doi = {10.1103/physrevb.105.l060301},
journal = {Physical Review. B},
number = 6,
volume = 105,
place = {United States},
year = {Mon Feb 07 00:00:00 EST 2022},
month = {Mon Feb 07 00:00:00 EST 2022}
}
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