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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation

Exact results of the quantum phase transition for the topological order

arXiv

Authors: Jing Yu, Su-Peng Kou, Xiao-Gang Wen

Year

2007

Paper ID

49074

Status

Preprint

Abstract Read

~2 min

Abstract Words

Citations

N/A

Abstract

In this paper a duality between the d=2 Wen-plaquette model in a transverse field and the d=1 Ising model in a transverse field is used to learn the nature of the quantum phase transition (QPT) between a spin-polarized phase and a topological ordered state with the string-net condensation. The QPT is not induced by spontaneous symmetry breaking and there are no conventional Landau-type local order parameters. Instead the string-like non-local order parameters are introduced to describe the QPT. In particular, the duality character between the open-string and closed string for the QPT are explored.

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In this paper a duality between the d=2 Wen-plaquette model in a transverse field and the d=1 Ising model in a transverse field is used to learn the nature of the quantum phase...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.2276 [2] arXiv https://arxiv.org/abs/0709.2276 [3] Publisher https://arxiv.org/abs/0709.2276

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