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arXiv:1710.06290 · Physical Review A

Non-Gaussian precision metrology via driving through quantum phase transitions

Jiahao Huang, Min Zhuang, Chaohong Lee

Published Mar 16, 2018• 36 citations
arXivHTMLPDF

Abstract

We propose a scheme to realize high-precision quantum interferometry with entangled non-Gaussian states by driving the system through quantum phase transitions. The beam splitting, in which an initial nondegenerate ground state evolves into a highly entangled state, is achieved by adiabatically driving the system from a nondegenerate regime to a degenerate one. Inversely, the beam recombination, in which the output state after interrogation becomes gradually disentangled, is accomplished by adiabatically driving the system from the degenerate regime to the nondegenerate one. The phase shift, which is accumulated in the interrogation process, can then be easily inferred via population measurement. We apply our scheme to Bose condensed atoms and trapped ions and find that Heisenberg-limited precision scalings can be approached. Our proposed scheme does not require single-particle resolved detection and is within the reach of current experiment techniques.

DOI
10.1103/physreva.97.032116

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High-precision frequency estimation is an ubiquitous issue in fundamental physics and a critical task in spectroscopy. Here, we propose a quantum Ramsey interferometry to realize high-precision frequency estimation in a spin-111 Bose-Einstein condensate via driving the system through quantum phase transitions (QPTs). In our scheme, we combine adiabatically driving the system through QPTs with $\ensuremath{\pi}/2$ pulse to realize the initialization and recombination. Through adjusting the laser frequency under fixed evolution time, one can extract the transition frequency via the lock-in point. The lock-in point can be determined from the pattern of the population measurement. In particular, we find the measurement precision can approach the Heisenberg-limited scaling. Moreover, the scheme is robust against detection noise and nonadiabatic effect. Our proposed scheme does not require single-particle resolved detection and is within the reach of current experiment techniques, which may point out an alternative way for high-precision frequency estimation.
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