title: Mapping curved spacetimes into Dirac spinors.
abstract: 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.
authors.affiliation: Instituto de Física Fundamental, CSIC, Serrano, 113-bis, 28006 Madrid (Spain).
authors.forename: Carlos
authors.initials: C
authors.lastname: Sabín