Bose-Einstein condensate soliton qubit states for metrological
applications
- URL: http://arxiv.org/abs/2011.13190v1
- Date: Thu, 26 Nov 2020 09:05:06 GMT
- Title: Bose-Einstein condensate soliton qubit states for metrological
applications
- Authors: The Vinh Ngo, Dmitriy Tsarev, Ray-Kuang Lee, and Alexander Alodjants
- Abstract summary: We propose novel quantum metrology applications with two soliton qubit states.
Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
- Score: 58.720142291102135
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: By utilizing Bose-Einstein condensate solitons, optically manipulated and
trapped in a double-well potential, coupled through nonlinear Josephson effect,
we propose novel quantum metrology applications with two soliton qubit states.
In addition to steady-state solutions in different scenarios, phase space
analysis, in terms of population imbalance - phase difference variables, is
also performed to demonstrate macroscopic quantum self-trapping regimes.
Schr\"odinger-cat states, maximally path-entangled ($N00N$) states, and
macroscopic soliton qubits are predicted and exploited for the
distinguishability of obtained macroscopic states in the framework of binary
(non-orthogonal) state discrimination problem. For arbitrary phase estimation
in the framework of linear quantum metrology approach, these macroscopic
soliton states are revealed to have a scaling up to the Heisenberg limit (HL).
The examples are illustrated for HL estimation of angular frequency between the
ground and first excited macroscopic states of the condensate, which opens new
perspectives for current frequency standards technologies.
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