Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential

Abstract

We show that the dispersion properties imposed by an external periodic potential ensure both energy and quasi-momentum conservation such that correlated pairs of atoms can be generated by four wave mixing from a Bose-Einstein condensate moving in an optical lattice potential. In our numerical solution of the Gross-Pitaevskii equation, a condensate with initial quasi-momentum k_0 is transferred almost completely (>95%) into a pair of correlated atomic components with quasi-momenta k_1 and k_2, if the system is seeded with a smaller number of atoms with the appropriate quasi-momentum k_1.

arXiv comment4 pages, 4 figures, version accepted for publication in Phys. Rev. A, Rapid Communications

References in corpus (11)

• Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
• Superfluid and Dissipative Dynamics of a Bose-Einstein Condensate in a Periodic Optical Potential
• Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Generation of macroscopic pair-correlated atomic beams by four-wave mixing in Bose-Einstein condensates
• Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical lattices
• Stability of gap solitons in a Bose-Einstein condensate
• Transporting, splitting and merging of atomic ensembles in a chip trap
• Transition radiation by matter-wave solitons in optical lattices
• Feshbach-resonance-induced atomic filamentation and quantum pair correlation in atom-laser-beam propagation
• Interaction induced phase fluctuations in a guided atom laser

Cited by in corpus (30)

• An atomic Hong-Ou-Mandel experiment
• Cold and trapped metastable noble gases
• Phase diagram for a Bose-Einstein condensate moving in an optical lattice
• Period-doubling Instability of Bose-Einstein Condensates Induced in Periodically Translated Optical Lattices
• Sub-Poissonian number differences in four-wave mixing of matter waves
• Proposal for demonstrating the Hong-Ou-Mandel effect with matter waves
• Tunable source of correlated atom beams
• Detection of continuous variable entanglement without coherent local oscillators
• Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs
• Time-dependent restricted-active-space self-consistent-field theory for bosonic many-body systems
• Collinear Four-Wave Mixing of Two-Component Matter Waves
• Dynamical instabilities of Bose-Einstein condensates at the band-edge in one-dimensional optical lattices
• Hanbury Brown and Twiss correlations in atoms scattered from colliding condensates
• Resonant quantum dynamics of few ultracold bosons in periodically driven finite lattices
• Atomic entanglement generation and detection via degenerate four-wave-mixing of a Bose-Einstein condensate in an optical lattice
• Bogoliubov dynamics of condensate collisions using the positive-P representation
• Out-of-equilibrium dynamics of a Bose Einstein condensate in a periodically driven band system
• Correlated directional atomic clouds via four-heterowave mixing
• Entanglement properties of degenerate four-wave mixing of matter-waves in a periodic potential
• Dynamical control of matter wave splitting using time-dependent optical lattices
• Four-wave mixing in spin-orbit coupled Bose-Einstein condensates
• Generation of directional, coherent matter beams through dynamical instabilities in Bose-Einstein condensates
• Interaction of modulated pulses in the nonlinear Schroedinger equation with periodic potential
• Spin dynamics in a two dimensional quantum gas
• Solitons in a Hamiltonian $PT$-symmetric coupler
• Non-Hermitian matter wave mixing in Bose Einstein condensates: dissipation induced amplification
• Band gap structures for matter waves
• Pair correlated atoms with a twist
• Bell correlations between momentum-entangled pairs of ${}^4{\text{He}}^{\ast }$ atoms
• Experimental study of matter-wave four-wave mixing in ${}^{39}$K Bose-Einstein condensates with tunable interaction