Abstract
We present a technique to control the spatial state of a small cloud of interacting particles at low temperatures with almost perfect fidelity using spatial adiabatic passage. To achieve this, the resonant trap energies of the system are engineered in such a way that a single, well-defined eigenstate connects the initial and desired states and is isolated from the rest of the spectrum. We apply this procedure to the task of separating a well-defined number of particles from an initial cloud and show that it can be implemented in radio-frequency traps using experimentally realistic parameters.
Highlights
Small samples of ultracold atoms trapped in external potentials are shaping up to become paradigmatic systems for exploring the fundamental building blocks of quantum many-body dynamics [1,2,3,4,5]
While in the weakly interacting regime samples with more than five atoms are well described by a mean-field approach [2,6], strongly interacting systems have been shown to allow for the creation of highly correlated quantum many-body states [7,8]
III, we present the modified spatial adiabatic passage (SAP) protocols designed for the separation of a specified number of particles from an atomic cloud and discuss their limits
Summary
Small samples of ultracold atoms trapped in external potentials are shaping up to become paradigmatic systems for exploring the fundamental building blocks of quantum many-body dynamics [1,2,3,4,5]. In this work we will extend the previous developments on interacting systems and show that the typical control that exists in ultracold atom experiments can be used to devise techniques based on SAP for the engineering of specific many-particle states. For this we will investigate the possibility of creating a single-particle source from two- and three-particle samples.
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