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Trapped Ion Quantum Computing

Efimov effect in D spatial dimensions in AAB systems

arXiv
Authors: D. S. Rosa, T. Frederico, G. Krein, M. T. Yamashita

Year

2017

Paper ID

44483

Status

Preprint

Abstract Read

~2 min

Abstract Words

134

Citations

N/A

Abstract

The existence of the Efimov effect is drastically affected by the dimensionality of the space in which the system is embedded. The effective spatial dimension containing an atomic cloud can be continuously modified by compressing it in one or two directions. In the present article we determine for a general AAB system formed by two identical bosons A and a third particle B in the two-body unitary limit, the dimensionsality D for which the Efimov effect can exist for different values of the mass ratio mathpzc{A}=mB/mA. In addition, we provide a prediction for the Efimov discrete scaling factor, {rm exp} (π/s), as a function of a wide range of values of mathpzc{A} and D, which can be tested in experiments that can be realized with currently available technology.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • The existence of the Efimov effect is drastically affected by the dimensionality of the space in which the system is embedded.

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