Integrable active atom interferometry
| Autor: | Johannes N. Kriel, Michael Kastner, Vincent Menet |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Hamiltonian mechanics
Physics Condensed Matter::Quantum Gases Quantum Physics Atom interferometer Integrable system General Physics and Astronomy FOS: Physical sciences Quantum entanglement 01 natural sciences 010305 fluids & plasmas symbols.namesake Quantum Gases (cond-mat.quant-gas) Quantum mechanics 0103 physical sciences symbols Condensed Matter - Quantum Gases 010306 general physics Fisher information Quantum Physics (quant-ph) |
| DOI: | 10.48550/arxiv.2007.13128 |
| Popis: | 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. Comment: 10 pages, 4 figures; close to published version |
| Databáze: | OpenAIRE |
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