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Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence Quantum Simulation

Slicing the Fock space for state production and protection

arXiv

Authors: R. F. Rossetti, G. D. de Moraes Neto, F. O. Prado, F. Brito, M. H. Y. Moussa

Year

2014

Paper ID

47628

Status

Preprint

Abstract Read

~2 min

Abstract Words

140

Citations

N/A

Abstract

In this letter we present a protocol to engineer interactions confined to subspaces of the Fock space in trapped ions: we show how to engineer upper-, lower-bounded and sliced Jaynes-Cummings (JC) and anti-Jaynes-Cummings (AJC) Hamiltonians. The upper-bounded (lower-bounded) interaction acting upon Fock subspaces ranging from leftvert 0rightrangle to leftvert Mrightrangle $leftvert Nrightrangle $ to$\ infty$, and the sliced one confined to Fock subspace ranging from leftvert Mrightrangle to leftvert Nrightrangle, whatever M<N. Whereas the upper-bounded JC or AJC interactions is shown to drive any initial state to a steady Fock state leftvert Nrightrangle, the sliced one is shown to produce steady superpositions of Fock states confined to the sliced subspace left\{ leftvert Nrightrangle ,leftvert N+1rightrangle right\}.

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In this letter we present a protocol to engineer interactions confined to subspaces of the Fock space in trapped ions: we show how to engineer upper-, lower-bounded and sliced...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.2691 [2] arXiv https://arxiv.org/abs/1409.2691 [3] Publisher https://arxiv.org/abs/1409.2691

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