title: Digital quantum simulation of the Holstein model in trapped ions.
abstract: We propose the implementation of the Holstein model by means of digital methods in a linear chain of trapped ions. We show how the simulation fidelity scales with the generation of phononic excitations. We propose a decomposition and a stepwise trapped-ion implementation of the Holstein Hamiltonian. Via numerical simulations, we study how the protocol is affected by realistic gates. Finally, we show how measurements of the size of the simulated polaron can be performed.
authors.affiliation: Departamento de Química Física, Universidad del País Vasco UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Mezzacapo
authors.forename: J
authors.initials: J
authors.lastname: Casanova
authors.forename: L
authors.initials: L
authors.lastname: Lamata
authors.forename: E
authors.initials: E
authors.lastname: Solano