Integrable active atom interferometry
- URL: http://arxiv.org/abs/2007.13128v2
- Date: Fri, 1 Jan 2021 17:52:37 GMT
- Title: Integrable active atom interferometry
- Authors: Michael Kastner, Vincent Menet, and Johannes N. Kriel
- Abstract summary: We use Bethe Ansatz techniques to find exact eigenstates and eigenvalues of the Hamiltonian that models spin-changing collisions.
We study scaling properties and the interferometer's performance under the full Hamiltonian.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 create entangled pairs of $m=\pm1$ atoms. We use Bethe
Ansatz techniques to find exact eigenstates and eigenvalues of the Hamiltonian
that models such spin-changing collisions. 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 spin-changing collisions, i.e., without the
idealising approximations of earlier works that force the model into the
framework of SU(1,1) interferometry.
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