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Title: Motif magnetism and quantum many-body scars

Abstract

In this work, we generally expect quantum systems to thermalize and satisfy the eigenstate thermalization hypothesis (ETH), which states that finite-energy-density eigenstates are thermal. However, some systems, such as many-body localized systems and systems with quantum many-body scars, violate ETH and have high-energy athermal eigenstates. In systems with scars, most eigenstates thermalize, but a few atypical scar states do not. Scar states can give rise to a periodic revival when time-evolving particular initial product states, which can be detected experimentally. Recently, a family of spin Hamiltonians was found with magnetically ordered three-colored eigenstates that are quantum many-body scars [Lee et al., Phys. Rev. B 101, 241111(R) (2020)]. These models can be realized in any lattice that can be tiled by triangles, such as the triangular or kagome lattices, and have been shown to have close connections to the physics of quantum spin liquids in the Heisenberg kagome antiferromagnet. In this paper, we introduce a generalized family of n-colored Hamiltonians with “spiral colored” eigenstates made from n-spin motifs such as polygons or polyhedra. We show how these models can be realized in many different lattice geometries and provide numerical evidence that they can exhibit quantum many-body scars with periodic revivals thatmore » can be observed by time-evolving simple product states. The simple structure of these Hamiltonians makes them promising candidates for future experimental studies of quantum many-body scars.« less

Authors:
ORCiD logo [1];  [1]
  1. Univ. of Illinois at Urbana-Champaign, IL (United States). Inst. for Condensed Matter Theory
Publication Date:
Research Org.:
Univ. of Illinois at Urbana-Champaign, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1853479
Grant/Contract Number:  
SC0020165
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 104; Journal Issue: 10; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Eigenstate thermalization; frustrated magnetism; quantum scars; spin dynamics; lattice models in statistical physics; nonequilibrium systems; strongly correlated systems; many-body techniques; spin lattice models

Citation Formats

Chertkov, Eli, and Clark, Bryan K. Motif magnetism and quantum many-body scars. United States: N. p., 2021. Web. doi:10.1103/physrevb.104.104410.
Chertkov, Eli, & Clark, Bryan K. Motif magnetism and quantum many-body scars. United States. https://doi.org/10.1103/physrevb.104.104410
Chertkov, Eli, and Clark, Bryan K. Tue . "Motif magnetism and quantum many-body scars". United States. https://doi.org/10.1103/physrevb.104.104410. https://www.osti.gov/servlets/purl/1853479.
@article{osti_1853479,
title = {Motif magnetism and quantum many-body scars},
author = {Chertkov, Eli and Clark, Bryan K.},
abstractNote = {In this work, we generally expect quantum systems to thermalize and satisfy the eigenstate thermalization hypothesis (ETH), which states that finite-energy-density eigenstates are thermal. However, some systems, such as many-body localized systems and systems with quantum many-body scars, violate ETH and have high-energy athermal eigenstates. In systems with scars, most eigenstates thermalize, but a few atypical scar states do not. Scar states can give rise to a periodic revival when time-evolving particular initial product states, which can be detected experimentally. Recently, a family of spin Hamiltonians was found with magnetically ordered three-colored eigenstates that are quantum many-body scars [Lee et al., Phys. Rev. B 101, 241111(R) (2020)]. These models can be realized in any lattice that can be tiled by triangles, such as the triangular or kagome lattices, and have been shown to have close connections to the physics of quantum spin liquids in the Heisenberg kagome antiferromagnet. In this paper, we introduce a generalized family of n-colored Hamiltonians with “spiral colored” eigenstates made from n-spin motifs such as polygons or polyhedra. We show how these models can be realized in many different lattice geometries and provide numerical evidence that they can exhibit quantum many-body scars with periodic revivals that can be observed by time-evolving simple product states. The simple structure of these Hamiltonians makes them promising candidates for future experimental studies of quantum many-body scars.},
doi = {10.1103/physrevb.104.104410},
journal = {Physical Review. B},
number = 10,
volume = 104,
place = {United States},
year = {Tue Sep 07 00:00:00 EDT 2021},
month = {Tue Sep 07 00:00:00 EDT 2021}
}

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