Atom Fock state preparation by trap reduction

Abstract

We study the production of low atom number Fock states by reducing suddenly the potential trap in a 1D strongly interacting (Tonks-Girardeau) gas. The fidelity of the Fock state preparation is characterized by the average and variance of the number of trapped atoms. Two different methods are considered: making the trap shallower (atom culling [A. M. Dudarev {\it et al.}, Phys. Rev. Lett. {\bf 98}, 063001 (2007)], also termed ``trap weakening'' here) and making the trap narrower (trap squeezing). When used independently, the efficiency of both procedures is limited as a result of the truncation of the final state in momentum or position space with respect to the ideal atom number state. However, their combination provides a robust and efficient strategy to create ideal Fock states.

4 pages

References in corpus (4)

• Bosonizing one-dimensional cold atomic gases
• Preparing and probing atomic number states with an atom interferometer
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases

Cited by in corpus (2)

• Preparation of atomic Fock states by trap reduction
• Momentum-space interferometry with trapped ultracold atoms