4.7 Article

Mapping curved spacetimes into Dirac spinors

Journal

SCIENTIFIC REPORTS
Volume 7, Issue -, Pages -

Publisher

NATURE PUBLISHING GROUP
DOI: 10.1038/srep40346

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Funding

  1. Fundacion General CSIC (Programa ComFuturo)
  2. MINECO Project - FEDER funds [FIS2015-70856-P]
  3. CAM PRICYT Project QUITEMAD+ [S2013/ICE-2801]

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We show how to transform a Dirac equation in a curved static spacetime into a Dirac equation in flat spacetime. In particular, we show that any solution of the free massless Dirac equation in a 1 + 1 dimensional flat spacetime can be transformed via a local phase transformation into a solution of the corresponding Dirac equation in a curved static background, where the spacetime metric is encoded into the phase. In this way, the existing quantum simulators of the Dirac equation can naturally incorporate curved static spacetimes. As a first example we use our technique to obtain solutions of the Dirac equation in a particular family of interesting spacetimes in 1 + 1 dimensions.

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