S-wave quantum entanglement in a harmonic trap
arXiv:quant-ph/0503020 · doi:10.1103/PhysRevA.72.022346
Abstract
We analyze the quantum entanglement between two interacting atoms trapped in a spherical harmonic potential. At ultra-cold temperature, ground state entanglement is generated by the dominated s-wave interaction. Based on a regularized pseudo-potential Hamiltonian, we examine the quantum entanglement by performing the Schmidt decomposition of low-energy eigenfunctions. We indicate how the atoms are paired and quantify the entanglement as a function of a modified s-wave scattering length inside the trap.
10 pages, 5 figures, to be apear in PRA
References in corpus (9)
- Entanglement of atoms via cold controlled collisions
- Analysis and interpretation of high transverse entanglement in optical parametric down conversion
- Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
- Quantum gates with neutral atoms: Controlling collisional interactions in time dependent traps
- Self-consistent model of ultracold atomic collisions and Feshbach resonances in tight harmonic traps
- Packet narrowing and quantum entanglement in photoionization and photodissociation
- Semiclassical time-evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems
- Entangling strings of neutral atoms in 1D atomic pipeline structures
- Quantum Logic for Trapped Atoms via Molecular Hyperfine Interactions
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- Comment on "Entanglement of two interacting bosons in a two-dimensional isotropic harmonic trap" [Phys. Lett. A 373 (2009) 3833]