### Abstract

The SU(1,1) interferometer was originally conceived as a Mach-Zehnder interferometer with the beam splitters replaced by parametric amplifiers. The parametric amplifiers produce states with correlations that result in enhanced phase sensitivity. F=1 spinor Bose-Einstein condensates (BECs) can serve as the parametric amplifiers for an atomic version of such an interferometer by collisionally producing entangled pairs of |F=1,m=±1) atoms. We simulate the effect of single- and double-sided seeding of the inputs to the amplifier using the truncated-Wigner approximation. We find that single-sided seeding degrades the performance of the interferometer exactly at the phase the unseeded interferometer should operate the best. Double-sided seeding results in a phase-sensitive amplifier, where the maximal sensitivity is a function of the phase relationship between the input states of the amplifier. In both single- and double-sided seeding we find there exists an optimal phase shift that achieves sensitivity beyond the standard quantum limit. Experimentally, we demonstrate a spinor phase-sensitive amplifier using a BEC of Na23 in an optical dipole trap. This configuration could be used as an input to such an interferometer. We are able to control the initial phase of the double-seeded amplifier and demonstrate sensitivity to initial population fractions as small as 0.1%.

Original language | English (US) |
---|---|

Article number | 023620 |

Journal | Physical Review A |

Volume | 98 |

Issue number | 2 |

DOIs | |

State | Published - Aug 16 2018 |

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### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*98*(2), [023620]. https://doi.org/10.1103/PhysRevA.98.023620

**Spinor Bose-Einstein-condensate phase-sensitive amplifier for SU(1,1) interferometry.** / Wrubel, Jonathan P.; Schwettmann, A.; Fahey, D. P.; Glassman, Z.; Pechkis, H. K.; Griffin, P. F.; Barnett, R.; Tiesinga, E.; Lett, P. D.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 98, no. 2, 023620. https://doi.org/10.1103/PhysRevA.98.023620

}

TY - JOUR

T1 - Spinor Bose-Einstein-condensate phase-sensitive amplifier for SU(1,1) interferometry

AU - Wrubel, Jonathan P.

AU - Schwettmann, A.

AU - Fahey, D. P.

AU - Glassman, Z.

AU - Pechkis, H. K.

AU - Griffin, P. F.

AU - Barnett, R.

AU - Tiesinga, E.

AU - Lett, P. D.

PY - 2018/8/16

Y1 - 2018/8/16

N2 - The SU(1,1) interferometer was originally conceived as a Mach-Zehnder interferometer with the beam splitters replaced by parametric amplifiers. The parametric amplifiers produce states with correlations that result in enhanced phase sensitivity. F=1 spinor Bose-Einstein condensates (BECs) can serve as the parametric amplifiers for an atomic version of such an interferometer by collisionally producing entangled pairs of |F=1,m=±1) atoms. We simulate the effect of single- and double-sided seeding of the inputs to the amplifier using the truncated-Wigner approximation. We find that single-sided seeding degrades the performance of the interferometer exactly at the phase the unseeded interferometer should operate the best. Double-sided seeding results in a phase-sensitive amplifier, where the maximal sensitivity is a function of the phase relationship between the input states of the amplifier. In both single- and double-sided seeding we find there exists an optimal phase shift that achieves sensitivity beyond the standard quantum limit. Experimentally, we demonstrate a spinor phase-sensitive amplifier using a BEC of Na23 in an optical dipole trap. This configuration could be used as an input to such an interferometer. We are able to control the initial phase of the double-seeded amplifier and demonstrate sensitivity to initial population fractions as small as 0.1%.

AB - The SU(1,1) interferometer was originally conceived as a Mach-Zehnder interferometer with the beam splitters replaced by parametric amplifiers. The parametric amplifiers produce states with correlations that result in enhanced phase sensitivity. F=1 spinor Bose-Einstein condensates (BECs) can serve as the parametric amplifiers for an atomic version of such an interferometer by collisionally producing entangled pairs of |F=1,m=±1) atoms. We simulate the effect of single- and double-sided seeding of the inputs to the amplifier using the truncated-Wigner approximation. We find that single-sided seeding degrades the performance of the interferometer exactly at the phase the unseeded interferometer should operate the best. Double-sided seeding results in a phase-sensitive amplifier, where the maximal sensitivity is a function of the phase relationship between the input states of the amplifier. In both single- and double-sided seeding we find there exists an optimal phase shift that achieves sensitivity beyond the standard quantum limit. Experimentally, we demonstrate a spinor phase-sensitive amplifier using a BEC of Na23 in an optical dipole trap. This configuration could be used as an input to such an interferometer. We are able to control the initial phase of the double-seeded amplifier and demonstrate sensitivity to initial population fractions as small as 0.1%.

UR - http://www.scopus.com/inward/record.url?scp=85051559108&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevA.98.023620

DO - 10.1103/PhysRevA.98.023620

M3 - Article

VL - 98

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 2

M1 - 023620

ER -