Quantum atom optics with fermions from molecular dissociation

Abstract

We study a fermionic atom optics counterpart of parametric down-conversion with photons. This can be realized through dissociation of a Bose-Einstein condensate of molecular dimers consisting of fermionic atoms. We present a theoretical model describing the quantum dynamics of dissociation and find analytic solutions for mode occupancies and atomic pair correlations, valid in the short time limit. The solutions are used to identify upper bounds for the correlation functions, which are applicable to any fermionic system and correspond to ideal particle number-difference squeezing

Changes in response to referees' comments, updated references

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Cited by in corpus (22)

• First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
• Spatial pair correlations of atoms in molecular dissociation
• Properties of a coupled two species atom-heteronuclear molecule condensate
• Bogoliubov dynamics of condensate collisions using the positive-P representation
• Pairing mean-field theory for the dynamics of dissociation of molecular Bose-Einstein condensates
• Deterministic Entanglement via Molecular Dissociation in Integrated Atom Optics
• Matter-wave squeezing and the generation of SU(1,1) and SU(2) coherent-states via Feshbach resonances
• Full counting statistics of heteronuclear molecules from Feshbach-assisted photo association
• Role of spatial inhomogeneity in dissociation of trapped molecular condensates
• Molecular Feshbach dissociation as a source for motionally entangled atoms
• A comparative study of dynamical simulation methods for the dissociation of molecular Bose-Einstein condensates
• Free-Space Entangled Quantum Carpets
• Nonlocal Young tests with Einstein-Podolsky-Rosen correlated particle pairs
• Atom-atom correlations and relative number squeezing in dissociation of spatially inhomogeneous molecular condensates
• Stochastic simulations of fermionic dynamics with phase-space representations
• First-principles quantum dynamics for fermions: Application to molecular dissociation
• Directional spatial structure of dissociated elongated molecular condensates
• Quantum Noise in the Collective Abstraction Reaction A+B ${}_2\to$ AB+B
• Coherent bimolecular reactions with quantum-degenerate matter waves
• Phase-space stochastic quantum hydrodynamics for interacting Bose gases
• On the Dynamics of the Fermi-Bose Model
• Interferometric Measurement of Local Spin-Fluctuations in a Quantum Gas