A trapped-ion simulator for spin-boson models with structured environments

ANDREAS LEMMER; CECILIA CORMICK; DARIO TAMASCELLI; TOBIAS SCHAETZ; SUSANA HUELGA; MARTIN PLENIO

NEW JOURNAL OF PHYSICS

IOP PUBLISHING LTD

Lugar: Londres; Año: 2018 vol. 20 p. 1 - 22

1367-2630

We propose a method to simulate the dynamics of spin-boson models with small crystals of trapped ions the electronic degree of freedom of one ion is used to encode the spin while the collective vibrationaldegrees of freedom are employed to form an effective harmonic environment. The key idea of our approach that a single damped mode can be used to provide a harmonic environment with Lorentzian spectral density. complex spectral functions can be tailored by combining several individually damped modes. The protocol especially well-suited to simulate spin-boson models with structured environments. We propose to work with species crystals such that one species serves to encode the spin while the other species is used to cool the degrees of freedom to engineer the environment. The strength of the dissipation on the spin can be by tuning the coupling between spin and vibrational degrees of freedom. In this way the dynamics spin-boson models with macroscopic and non-Markovian environments can be simulated using only a few We illustrate the approach by simulating an experiment with realistic parameters and show by computing measures that the dynamics is genuinely non-Markovian.