Robust symmetry-protected metrology with the Haldane phase

Stephen D. Bartlett, Gavin K. Brennen, Akimasa Miyake

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We propose a metrology scheme that is made robust to a wide range of noise processes by using the passive, error-preventing properties of symmetry-protected topological phases. The so-called fractionalized edge mode of an antiferromagnetic Heisenberg spin-1 chain in a rotationally- symmetric Haldane phase can be used to measure the direction of an unknown electric field, by exploiting the way in which the field direction reduces the symmetry of the chain. Specifically, the direction (and when supplementing with a known background field, also the strength) of the field is registered in the holonomy under an adiabatic sensing protocol, and the degenerate fractionalized edge mode is protected through this process by the remaining reduced symmetry. We illustrate the scheme with respect to a potential realization by Rydberg dressed atoms.
Original languageEnglish
Article number014010
Pages (from-to)1-7
Number of pages7
JournalQuantum Science and Technology
Issue number1
Early online date29 Dec 2017
Publication statusPublished - 2018


  • quantum metrology
  • topological phase
  • quantum sensing


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