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Quantum Simulation

The U(1) Lattice Gauge Theory Universally Connects All Classical Models with Continuous Variables, Including Background Gravity

arXiv
Authors: Ying Xu, Gemma De las Cuevas, Wolfgang Dür, Hans J. Briegel, Miguel Angel Martin-Delgado

Year

2010

Paper ID

10915

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

We show that the partition function of many classical models with continuous degrees of freedom, e.g. abelian lattice gauge theories and statistical mechanical models, can be written as the partition function of an (enlarged) four-dimensional lattice gauge theory (LGT) with gauge group U(1). This result is very general that it includes models in different dimensions with different symmetries. In particular, we show that a U(1) LGT defined in a curved spacetime can be mapped to a U(1) LGT with a flat background metric. The result is achieved by expressing the U(1) LGT partition function as an inner product between two quantum states.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • We show that the partition function of many classical models with continuous degrees of freedom, e.g.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.2041 [2] arXiv https://arxiv.org/abs/1010.2041 [3] Publisher https://arxiv.org/abs/1010.2041

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