Non-locality of Two Ultracold Trapped Atoms

Abstract

We undertake a detailed analysis of the non-local properties of the fundamental problem of two trapped, distinguishable neutral atoms which interact with a short range potential characterised by an s-wave scattering length. We show that this interaction generates continuous variable (CV) entanglement between the external degrees of freedom of the atoms and consider its behaviour as a function of both, the distance between the traps and the magnitude of the inter-particle scattering length. We first quantify the entanglement in the ground state of the system at zero temperature and then, adopting a phase-space approach, test the violation of the Clauser-Horn-Shimony-Holt inequality at zero and non-zero temperature and under the effects of general dissipative local environments.

16 pages, 8 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Demonstration of a neutral atom controlled-NOT quantum gate
• Entanglement of two individual neutral atoms using Rydberg blockade
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Molecules of Fermionic Atoms in an Optical Lattice
• Microwave Control of Atomic Motion in Optical Lattices
• Boson Pairs in a One-dimensional Split Trap
• Controlled collisions of two ultracold atoms in separate harmonic traps
• An eccentrically perturbed Tonks-Girardeau gas
• Witnessing entanglement in phase space using inefficient detectors

Cited by in corpus (7)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Correlated Quantum Dynamics of a Single Atom Collisionally Coupled to an Ultracold Finite Bosonic Ensemble
• Preparation of ${}^{87}$Rb and ${}^{133}$Cs in the motional ground state of a single optical tweezer
• Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
• Non-Entangling Channels for Multiple Collisions of Quantum Wave Packets
• Entanglement in spatial adiabatic processes for interacting atoms
• Graded-index optical fiber emulator of an interacting three-atom system: illumination control of particle statistics and classical non-separability