Integrable active atom interferometry
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing
Abstract
Active interferometers are designed to enhance phase sensitivity beyond the standard quantum limit by generating entanglement inside the interferometer. An atomic version of such a device can be constructed by means of a spinor Bose–Einstein condensate with an F = 1 groundstate manifold in which spin-changing collisions (SCCs) create entangled pairs of m = ±1 atoms. We use Bethe Ansatz techniques to find exact eigenstates and eigenvalues of the Hamiltonian that models such SCCs. Using these results, we express the interferometer's phase sensitivity, Fisher information, and Hellinger distance in terms of the Bethe rapidities. By evaluating these expressions we study scaling properties and the interferometer's performance under the full Hamiltonian that models the SCCs, i.e., without the idealising approximations of earlier works that force the model into the framework of SU(1,1) interferometry.
Description
CITATION: Kastner, M., Menet, V. & Krie, J. N. 2020. Integrable active atom interferometry. New Journal of Physics, 22:123044, doi:10.1088/1367-2630/abd35d.
The original publication is available at https://iopscience.iop.org
Publication of this article was funded by the Stellenbosch University Open Access Fund
The original publication is available at https://iopscience.iop.org
Publication of this article was funded by the Stellenbosch University Open Access Fund
Keywords
Fisher information, Atom interferometry, Phase shift (Nuclear physics), Quantum entaglement, Colliders (Nuclear physics), Scaling laws (Nuclear physics), Hamiltonian mechanics
Citation
Kastner, M., Menet, V. & Krie, J. N. 2020. Integrable active atom interferometry. New Journal of Physics, 22:123044, doi:10.1088/1367-2630/abd35d