Interferometric sensitivity and entanglement by scanning through quantum phase transitions in spinor Bose-Einstein condensates

Year: 2018

Authors: Feldmann P., Gessner M., Gabbrielli M., Klempt C., Santos L., Pezzè L., Smerzi A.

Autors Affiliation: [Feldmann, P.; Santos, L.] Leibniz Univ Hannover, Inst Theoret Phys, Appelstr 2, DE-30167 Hannover, Germany.
[Gessner, M.; Gabbrielli, M.; Pezze, L.; Smerzi, A.] INO CNR, QSTAR, Largo Enrico Fermi 2, IT-50125 Florence, Italy and LENS, Largo Enrico Fermi 2, IT-50125 Florence, Italy.
[Gabbrielli, M.] Univ Florence, Dipartimento Fis & Astron, Via Sansone 1, I-50019 Sesto Fiorentino, Italy.
[Klempt, C.] Leibniz Univ Hannover, Inst Quantenopt, Welfengarten 1, DE-30167 Hannover, Germany.

Abstract: Recent experiments demonstrated the generation of entanglement by quasiadiabatically driving through quantum phase transitions of a ferromagnetic spin-1 Bose-Einstein condensate in the presence of a tunable quadratic Zeeman shift. We analyze, in terms of the Fisher information, the interferometric value of the entanglement accessible by this approach. In addition to the Twin-Fock phase studied experimentally, we unveil a second regime, in the broken axisymmetry phase, which provides Heisenberg scaling of the quantum Fisher information and can be reached on shorter time scales. We identify optimal unitary transformations and an experimentally feasible optimal measurement prescription that maximize the interferometric sensitivity. We further ascertain that the Fisher information is robust with respect to nonadiabaticity and measurement noise. Finally, we show that the quasiadiabatic entanglement preparation schemes admit higher sensitivities than dynamical methods based on fast quenches.


Volume: 97 (3)      Pages from: 032339-1  to: 032339-10

KeyWords: states; limit;
DOI: 10.1103/PhysRevA.97.032339

Citations: 27
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