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

authored by: P. Feldmann, M. Gessner, M. Gabbrielli, C. Klempt, L. Santos, L. Pezzè, A. Smerzi
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.
Organisation(s): Institute of Theoretical Physics
Institute of Quantum Optics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
External Organisation(s): QSTAR
CNR National Institute of Optics (INO)
European Laboratory for Non-linear Spectroscopy (LENS)
University of Florence (UniFi)
Type: Article
Journal: Physical Review A
Volume: 97
ISSN: 2469-9926
Publication date: 03.2018
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Atomic and Molecular Physics, and Optics
Electronic version(s): https://doi.org/10.1103/PhysRevA.97.032339 (Access: Closed)
https://doi.org/10.15488/3586 (Access: Open)

BibTeX

@article{136a25f48a054020a11152eb6ef5fc7b,
title = "Interferometric sensitivity and entanglement by scanning through quantum phase transitions in spinor Bose-Einstein condensates",
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.",
author = "P. Feldmann and M. Gessner and M. Gabbrielli and C. Klempt and L. Santos and L. Pezz{\`e} and A. Smerzi",
note = "Funding information: We acknowledge support by the SFB 1227 “DQ-mat” Projects No. A02 and No. B01, of the German Research Foundation (DFG). M. G. thanks the Alexander von Humboldt foundation for support.",
year = "2018",
month = mar,
doi = "10.1103/PhysRevA.97.032339",
language = "English",
volume = "97",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "3",
}