Enhancing test precision for local Lorentz-symmetry violation with entanglement

Lei Li, Xinwei Li, Baocheng Zhang, and Li You
Phys. Rev. A 99, 042118 – Published 22 April 2019

Abstract

A recent proposal for testing Lorentz-symmetry violation (LSV) presents a formulation where the effect of violation is described as a local interaction [R. Shaniv et al., Phys. Rev. Lett. 120, 103202 (2018)]. An entangled ion pair in a decoherence free subspace (DFS) is shown to double the signal-to-noise ratio (SNR) of one ion, while (even)-N/2 such DFS pairs in a collective entangled state improve SNR by N times, provided the state parity or the even or odd numbers of ions can be measured. It remains to find out, however, how such fiducial entangled states can be prepared at nonexponentially small success rates. This work suggests two types of many-particle entangled states for testing LSV: the maximally entangled NOON state, which can achieve Heisenberg limited precision; and the balanced spin-1 Dicke state, which is readily available in deterministic fashion. We show that the latter also lives in a DFS and is immune to stray magnetic fields. It can achieve classical precision limit or the standard quantum limit (SQL) based on collective population measurement without individual atom resolution. Given the high interests in LSV and in entanglement assisted quantum metrology, our observation offers additional incentives for pursuing practical applications of many-atom entangled states.

  • Figure
  • Figure
  • Received 15 January 2019

DOI:https://doi.org/10.1103/PhysRevA.99.042118

©2019 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsAtomic, Molecular & OpticalGeneral Physics

Authors & Affiliations

Lei Li1, Xinwei Li2, Baocheng Zhang1,*, and Li You2

  • 1School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
  • 2State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China

  • *zhangbc.zhang@yahoo.com

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 99, Iss. 4 — April 2019

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×