Many-body state engineering using measurements and fixed unitary dynamics

We develop a scheme to prepare a desired state or subspace in high-dimensional Hilbert-spaces using repeated applications of a single static projection operator onto the desired target and fixed unitary dynamics. Benchmarks against other control schemes, performed on generic Hamiltonians and on Bose...

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Bibliographic Details
Published in:arXiv.org 2014-11
Main Authors: Mads Kock Pedersen, Jens Jakob W H Sørensen, Tichy, Malte C, Sherson, Jacob F
Format: Article
Language:English
Subjects:
Optical lattices
Online Access:Get full text
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Summary:We develop a scheme to prepare a desired state or subspace in high-dimensional Hilbert-spaces using repeated applications of a single static projection operator onto the desired target and fixed unitary dynamics. Benchmarks against other control schemes, performed on generic Hamiltonians and on Bose-Hubbard systems, establish the competitiveness of the method. As a concrete application of the control of mesoscopic atomic samples in optical lattices we demonstrate the near deterministic preparation of Schr\"{o}dinger cat states of all atoms residing on either the odd or the even sites.
ISSN:2331-8422
DOI:10.48550/arxiv.1406.0667