All product eigenstates in Heisenberg models from a graphical construction

Fuente: arXiv
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Autores principales: Gerken, Felix, Runkel, Ingo, Schweigert, Christoph, Posske, Thore
Formato: Preprint
Publicado: 2023
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author Gerken, Felix
Runkel, Ingo
Schweigert, Christoph
Posske, Thore
author_facet Gerken, Felix
Runkel, Ingo
Schweigert, Christoph
Posske, Thore
contents Recently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and quantum scars. We unify these systems by a complete classification of product eigenstates of Heisenberg XXZ Hamiltonians with Dzyaloshinskii-Moriya interaction on general graphs in the form of Kirchhoff rules for spin supercurrent. By this, we construct spin systems with extensive degree of degeneracy linked to exotic condensates which could be studied in atomic gases and quantum spin lattices.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13158
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle All product eigenstates in Heisenberg models from a graphical construction
Gerken, Felix
Runkel, Ingo
Schweigert, Christoph
Posske, Thore
Strongly Correlated Electrons
Quantum Physics
Recently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and quantum scars. We unify these systems by a complete classification of product eigenstates of Heisenberg XXZ Hamiltonians with Dzyaloshinskii-Moriya interaction on general graphs in the form of Kirchhoff rules for spin supercurrent. By this, we construct spin systems with extensive degree of degeneracy linked to exotic condensates which could be studied in atomic gases and quantum spin lattices.
title All product eigenstates in Heisenberg models from a graphical construction
topic Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2310.13158