Atomic entanglement generation and detection via degenerate four-wave-mixing of a Bose-Einstein condensate in an optical lattice
arXiv:0902.1793 · doi:10.1103/PhysRevA.79.043634
Abstract
The unequivocal detection of entanglement between two distinct matter-wave pulses is a significant challenge that has yet to be experimentally demonstrated. We describe a realistic scheme to generate and detect continuous variable entanglement between two atomic matter-wave pulses produced via degenerate four-wave-mixing from an initially trapped Bose-Einstein condensate loaded into a one-dimensional optical lattice. We perform a comprehensive numerical investigation for fixed condensate parameters to determine the maximum violation of separability and Einstein-Podolsky-Rosen inequalities for field quadrature entanglement, and describe and simulate an experimental scheme for measuring the necessary quadratures.
11 pages, 6 figures
References in corpus (18)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Squeezing and entanglement in a Bose-Einstein condensate
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
- Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
- Detection of continuous variable entanglement without coherent local oscillators
- Atomic four-wave mixing via condensate collisions
- Paired atom laser beams created via four-wave mixing
- Atom-atom correlations in colliding Bose-Einstein condensates
- Dynamical instabilities of Bose-Einstein condensates at the band-edge in one-dimensional optical lattices
- Entanglement under restricted operations: Analogy to mixed-state entanglement
- A simple integrated single-atom detector
- Calibration of a single atom detector for atomic micro chips
- Entanglement properties of degenerate four-wave mixing of matter-waves in a periodic potential
- Measuring the quantum statistics of an atom laser beam
Cited by in corpus (18)
- Spontaneous Four-Wave Mixing of de Broglie Waves: Beyond Optics
- Einstein-Podolsky-Rosen entanglement and steering in two-well BEC ground states
- Improving cold-atom sensors with quantum entanglement: Prospects and challenges
- Tunable source of correlated atom beams
- Bose-Einstein condensate of metastable helium for quantum correlation experiments
- Dynamical preparation of EPR entanglement in two-well Bose-Einstein condensates
- Spreading of entanglement and steering along small Bose-Hubbard chains
- Demonstrating mesoscopic superpositions in double-well Bose-Einstein condensates
- Sensitivity to thermal noise of atomic Einstein-Podolsky-Rosen entanglement
- Bogoliubov dynamics of condensate collisions using the positive-P representation
- Surpassing the Standard Quantum Limit in an Atom Interferometer with Four-mode Entanglement Produced from Four-Wave Mixing
- Correlated directional atomic clouds via four-heterowave mixing
- Generating accessible entanglement in bosons via pair-correlated tunneling
- Generation of directional, coherent matter beams through dynamical instabilities in Bose-Einstein condensates
- Non-Hermitian matter wave mixing in Bose Einstein condensates: dissipation induced amplification
- Entanglement via a three-well Bose-Hubbard system and via an optical beamsplitter
- Multimode analysis of non-classical correlations in double well Bose-Einstein condensates
- Quantum-field-theoretical approach to phase-space techniques: Symmetric Wick theorem and multitime Wigner representation