The effect of Quantum Statistics on the sensitivity in an SU(1,1)
interferometer
- URL: http://arxiv.org/abs/2308.03002v1
- Date: Sun, 6 Aug 2023 03:28:18 GMT
- Title: The effect of Quantum Statistics on the sensitivity in an SU(1,1)
interferometer
- Authors: Jie Zeng, Yingxing Ding, Mengyao Zhou, Gao-Feng Jiao, Keye Zhang, L.
Q. Chen, Weiping Zhang, and Chun-Hua Yuan
- Abstract summary: We study the effect of quantum statistics of the light field on the quantum enhancement of parameter estimation based on cat state input the SU (1,1) interferometer.
- Score: 2.4536764586502358
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We theoretically study the effect of quantum statistics of the light field on
the quantum enhancement of parameter estimation based on cat state input the
SU(1,1) interferometer. The phase sensitivity is dependent on the relative
phase $\theta$ between two coherent states of Schr\"{o}dinger cat states. The
optimal sensitivity is achieved when the relative phase is $\pi$% , i.e., odd
coherent states input. For a coherent state input into one port, the phase
sensitivity of the odd coherent state into the second input port is inferior to
that of the squeezed vacuum state input. However, in the presence of losses the
Schr\"{o}dinger cat states are more resistant to loss than squeezed vacuum
states. As the amplitude of Schr\"{o}dinger cat states increases, the quantum
enhancement of phase sensitivity decreases, which shows that the quantum
statistics of Schr\"{o}dinger cat states tends towards Poisson statistics from
sub-Poisson statistics or super-Poisson statistics.
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