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Topological Quantum Computing Quantum Simulation

All product eigenstates in Heisenberg models from a graphical construction

arXiv
Authors: Felix Gerken, Ingo Runkel, Christoph Schweigert, Thore Posske

Year

2023

Paper ID

53615

Status

Preprint

Abstract Read

~2 min

Abstract Words

83

Citations

N/A

Abstract

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2310.13158 [2] arXiv https://arxiv.org/abs/2310.13158 [3] Publisher https://arxiv.org/abs/2310.13158

Local Citation Graph (Related-Paper Links)

Current Paper #53615 #69030 Non-Hermitian Crystalline Braid... #69015 Complex-gauge control of anomal... #69041 Multi-modes Bessel-Gaussian-Orb... #69040 Collective Emission in LH2 Asse...

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