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 (21)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Entanglement of atoms via cold controlled collisions
• Regimes of quantum degeneracy in trapped 1D gases
• Bosonizing one-dimensional cold atomic gases
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• Bose Einstein Condensate in a Box
• Stability and phase coherence of trapped 1D Bose gases
• Pair correlations in a finite-temperature 1D Bose gas
• Quantum gates with neutral atoms: Controlling collisional interactions in time dependent traps
• Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
• Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Preparing and probing atomic number states with an atom interferometer
• Many-body solitons in a one-dimensional condensate of hard core bosons
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• The 1D interacting Bose gas in a hard wall box
• Determinisitic Optical Fock State Generation
• Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases
• Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries
• Transmission Spectrum of an Optical Cavity Containing N Atoms
• Entanglement generation and multiparticle interferometry with neutral atoms

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• Filtering single atoms from Rydberg blockaded mesoscopic ensembles
• Atomic Fock states by gradual trap reduction: from sudden to adiabatic limits
• Quantum Coherent Control via Pauli Blocking
• Atom number filter in an optical lattice
• Optomechanical preparation of photon number-squeezed states with a pair of thermal reservoirs of opposite temperatures
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Momentum-space interferometry with trapped ultracold atoms
• Sub-Poissonian atom-number distributions by means of Rydberg dressing and electromagnetically induced transparency
• Trapping of quantum particles and light beams by switchable potential wells
• Calculation of Atomic Number States: a Bethe Ansatz Approach
• Adiabaticity in a time dependent trap: a passage near continuum threshold
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