SciPost logo

SciPost Submission Page

Probing fractional statistics in quantum simulators of spin liquid Hamiltonians

by Shiyu Zhou, Maria Zelenayova, Oliver Hart, Claudio Chamon, Claudio Castelnovo

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Shiyu Zhou
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-10-18
Date submitted: 2023-08-29 05:05
Submitted by: Zhou, Shiyu
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical


Recent advances in programmable quantum devices brought to the fore the intriguing possibility of using them to realise and investigate topological quantum spin liquid phases. This new and exciting direction brings about important research questions on how to probe and determine the presence of such exotic, highly entangled phases. One of the most promising tools is investigating the behaviour of the topological excitations, and in particular their fractional statistics. In this work we put forward a generic route to achieve this, and we illustrate it in the specific case of $\mathbb{Z}_2$ topological spin liquids implemented with the aid of combinatorial gauge symmetry. We design a convenient architecture to study signatures of fractional statistics via quasiparticle interferometry, and we assess its robustness to diagonal and off-diagonal disorder, as well as to dephasing -- effects that are generally pervasive in noisy quantum programmable devices. A useful counterpart of our scheme is that it provides a clear test of the `quantumness' of these devices, since the signatures that we are looking for crucially hinge on quantum coherence and quantum interference effects in the system.

List of changes

- We added in Appendix A several paragraphs to explain in detail the reverse annealing protocol. Specifically 1) how to initialise a state with a single spinon in D-Wave devices; 2) how to extract $\langle \, x^2 \, \rangle$ from the experimental data; 3) D-Wave's annealing schedule and its limitations on setting the coupling parameters.
- A new section explaining our claims of testing quantumness has been added before the conclusions.
- A brief explanation of dephasing and dissipation in the effective spinon propagation model, and the corresponding choice of value of $\gamma$, has been added at the start of Sec. III.
- We modified the hopping amplitude in Eq.~3 to be $2\Gamma$ to capture the effect that a spinon can hop through both top and bottom legs in a ladder, and changed Fig.~8 and Fig.~9 correspondingly.
- Added a footnote explaining the exchange statistics between a spinon and a vison in Sec. II.
- Added a paragraph summarising what each section is about in the introduction.
- We added Sec. IV B and discussed the limit in which we can identify the low-energy quasiparticle excitations, spinons and visons, in the two models, and their mutual semionic statistics.

Published as SciPost Phys. 15, 194 (2023)

Reports on this Submission

Report 1 by Yaroslav Herasymenko on 2023-9-7 (Invited Report)


As per previous report


The authors improved on all key weaknesses mentioned in my previous report to the point I consider satisfactory


Criteria are met

Requested changes

None, my main requests were satisfied

(although do note a typo -- "vision" instead of "vison" in Section V, can use ctrl-F to find it)

Congrats to the authors on the improved version of their paper. It's green light to publish on my end

  • validity: high
  • significance: high
  • originality: high
  • clarity: high
  • formatting: good
  • grammar: good

Login to report or comment