Dissipative ground-state preparation of a spin chain by a structured environment
Abstract
We propose a dissipative method to prepare the ground state of the isotropic XY spin Hamiltonian in a transverse field. Our model consists of a spin chain with nearest-neighbour interactions and an additional collective coupling of the spins to a damped harmonic oscillator. The latter provides an effective environment with a Lorentzian spectral density and can be used to drive the chain asymptotically towards its multipartite-entangled ground state at a rate that depends on the degree of non-Markovianity of the evolution. We also present a detailed proposal for the experimental implementation with a chain of trapped ions. The protocol does not require individual addressing, concatenated pulses, or multi-particle jump operators, and is capable of generating the desired target state in small ion chains with very high fidelities.
Keywords
Cite
@article{arxiv.1304.2201,
title = {Dissipative ground-state preparation of a spin chain by a structured environment},
author = {Cecilia Cormick and Alejandro Bermudez and Susana F. Huelga and Martin B. Plenio},
journal= {arXiv preprint arXiv:1304.2201},
year = {2013}
}
Comments
16 pages, 10 figs