Preparation of atomic Fock states by trap reduction

Abstract

We describe the preparation of atom-number states with strongly interacting bosons in one dimension, or spin-polarized fermions. The procedure is based on a combination of weakening and squeezing of the trapping potential. For the resulting state, the full atom number distribution is obtained. Starting with an unknown number of particles $N_i$, we optimize the sudden change in the trapping potential which leads to the Fock state of $N_f$ particles in the final trap. Non-zero temperature effects as well as different smooth trapping potentials are analyzed. A simple criterion is provided to ensure the robust preparation of the Fock state for physically realistic traps.

arXiv comment5 pages, 5 figures

References in corpus (20)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Electron Counting Statistics and Coherent States of Electric Current
• Regimes of quantum degeneracy in trapped 1D gases
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
• p-Wave Interactions in Low-Dimensional Fermionic gases
• Creation of a molecular condensate by dynamically melting a Mott-insulator
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Preparing and probing atomic number states with an atom interferometer
• Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
• Many-body solitons in a one-dimensional condensate of hard core bosons
• Quantum computing with spatially delocalized qubits
• A Quantum Tweezer for Atoms
• Submicrometer position control of single trapped neutral atoms
• Extracting Atoms on Demand with Lasers
• Atom Fock state preparation by trap reduction
• Number distributions for fermions and fermionized bosons in periodic potentials
• Higher-order mutual coherence of optical and matter waves
• A number filter for matter-waves

Cited by in corpus (16)

• Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates
• Fidelity of fermionic atom-number states subjected to tunneling decay
• Squeezing and robustness of frictionless cooling strategies
• Microscopic theory of phase transitions in a critical region
• Bose-Einstein condensate fluctuations versus an interparticle interaction
• Filtering single atoms from Rydberg blockaded mesoscopic ensembles
• Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas
• Atomic Fock states by gradual trap reduction: from sudden to adiabatic limits
• Ultra-high fidelity qubits for quantum computing
• Quantum supremacy of the many-body fluctuations in the occupations of the excited particle states in a Bose-Einstein-condensed gas
• Quantum Coherent Control via Pauli Blocking
• Atom number filter in an optical lattice
• Sub-Poissonian atom-number distributions by means of Rydberg dressing and electromagnetically induced transparency
• Calculation of Atomic Number States: a Bethe Ansatz Approach
• Adiabaticity in a time dependent trap: a passage near continuum threshold
• Adiabaticity in a time-dependent trap: a universal limit for the loss by touching the continuum