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Superconducting Qubits

Hidden Order and Dynamics in Supersymmetric Valence Bond Solid States - Super-Matrix Product State Formalism

arXiv

Authors: Kazuki Hasebe, Keisuke Totsuka

Year

2011

Paper ID

8781

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

Supersymmetric valence bond solid models are extensions of the VBS model, a paradigmatic model of `solvable' gapped quantum antiferromagnets, to the case with doped fermionic holes. In this paper, we present a detailed analysis of physical properties of the models. For systematic studies, a supersymmetric version of the matrix product formalism is developed. On 1D chains, we exactly evaluate the hole-doping behavior of various physical quantities, such as the spin/charge excitation spectrum, superconducting order parameter. A generalized hidden order is proposed, and the corresponding string non-local order parameter is also calculated. The behavior of the string order parameter is discussed in the light of the entanglement spectrum.

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Supersymmetric valence bond solid models are extensions of the VBS model, a paradigmatic model of `solvable' gapped quantum antiferromagnets, to the case with doped fermionic...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1105.3529 [2] arXiv https://arxiv.org/abs/1105.3529 [3] Publisher https://arxiv.org/abs/1105.3529

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