Quantum-enhanced multiphase estimation with spin-1 Bose-Einstein condensates
Abstract
We investigate quantum-enhanced two-phase estimation in a spin-$1$ Bose-Einstein condensate, where spin-exchange collisions generate a spin-nematic squeezed state in the mF=±1 modes. The resulting pair-correlated state has a rank-one quantum Fisher information matrix (QFIM) for the two mode phases relative to the mF=0 mode and therefore cannot resolve them independently. Nevertheless, we find that a parameter-independent passive three-mode transformation lifts this rank deficiency and enables joint estimation of both phases. In the undepleted-pump regime, we derive expressions for the QFIM, optimize the equal-weight multiparameter quantum Cramér-Rao bound, and obtain a full-rank probe with squeezing-enhanced sensitivity below the matched fixed-total-number standard quantum limit (SQL). These analytical predictions are confirmed by exact-diagonalization calculations. We further construct a parameter-independent readout that maps the phase combinations onto displacement channels accessible through atomic homodyne or parity measurements. Our results provide a route from spin-mixing-generated quantum correlations to two-phase estimation in spinor condensates.
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BibTeX
@misc{jin2026quantumenhanced,
title = {{Quantum-enhanced multiphase estimation with spin-1 Bose-Einstein condensates}},
author = {Jiaheng Jin and Xinwei Li and Dong E. Liu and Li You},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01746},
eprint = {2611.01746},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01746},
}
RIS
TY - UNPB
TI - Quantum-enhanced multiphase estimation with spin-1 Bose-Einstein condensates
AU - Jiaheng Jin
AU - Xinwei Li
AU - Dong E. Liu
AU - Li You
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01746
UR - https://arxiv.org/abs/2611.01746
AB - We investigate quantum-enhanced two-phase estimation in a spin-$1$ Bose-Einstein condensate, where spin-exchange collisions generate a spin-nematic squeezed state in the m_F=±1 modes. The resulting pair-correlated state has a rank-one quantum Fisher information matrix (QFIM) for the two mode phases relative to the m_F=0 mode and therefore cannot resolve them independently. Nevertheless, we find that a parameter-independent passive three-mode transformation lifts this rank deficiency and enables joint estimation of both phases. In the undepleted-pump regime, we derive expressions for the QFIM, optimize the equal-weight multiparameter quantum Cramér-Rao bound, and obtain a full-rank probe with squeezing-enhanced sensitivity below the matched fixed-total-number standard quantum limit (SQL). These analytical predictions are confirmed by exact-diagonalization calculations. We further construct a parameter-independent readout that maps the phase combinations onto displacement channels accessible through atomic homodyne or parity measurements. Our results provide a route from spin-mixing-generated quantum correlations to two-phase estimation in spinor condensates.
ER -