SciPost Submission Page

Parent Hamiltonian Reconstruction of Jastrow-Gutzwiller Wavefunctions

by Xhek Turkeshi, Marcello Dalmonte

Submission summary

As Contributors: Marcello Dalmonte · Xhek Turkeshi
Arxiv Link: (pdf)
Date accepted: 2020-02-28
Date submitted: 2020-02-05 01:00
Submitted by: Turkeshi, Xhek
Submitted to: SciPost Physics
Academic field: Physics
  • Quantum Physics
Approaches: Theoretical, Computational


Variational wave functions have been a successful tool to investigate the properties of quantum spin liquids. Finding their parent Hamiltonians is of primary interest for the experimental simulation of these strongly correlated phases, and for gathering additional insights on their stability. In this work, we systematically reconstruct approximate spin-chain parent Hamiltonians for Jastrow-Gutzwiller wave functions, which share several features with quantum spin liquid wave-functions in two dimensions. Firstly, we determine the different phases encoded in the parameter space through their correlation functions and entanglement content. Secondly, we apply a recently proposed entanglement-guided method to reconstruct parent Hamiltonians to these states, which constrains the search to operators describing relativistic low-energy field theories - as expected for deconfined phases of gauge theories relevant to quantum spin liquids. The quality of the results is discussed using different quantities and comparing to exactly known parent Hamiltonians at specific points in parameter space. Our findings provide guiding principles for experimental Hamiltonian engineering of this class of states.

Ontology / Topics

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Spin liquids

Published as SciPost Phys. 8, 042 (2020)

Author comments upon resubmission

List of changes

List of changes:
-Corrected various typos
-Added Sec(2.2) discussing the participation spectrum (new figure Fig.1) (comments requested by Referee II)
-Added a discussion on the finite size scaling in sec 2.3 (new figure Fig.4) (to respond to both referees)
-Removed the appendix on finite size scaling
-Added new subfigure in fig.5 (old fig.3), both in Loglog scale (to respond to both the referees)
-Added a discussion in sec (2.4) about the correlation length (requested by Referee I)
-Added a discussion in the beginning of sec (3) to comment on the quantum covariance matrix approach in relationship to our work (requested by Referee II)
-Added a comment on other estimators in sec (3.3), especially the KL divergence (requested by Referee II)
-Added a clarification in the label of Table 1 (requested by Referee I)
-Added a new paragraph in sec (4.3) discussing the relative error between the variational energy of the JG wave functions and the ground state energy of the parent Hamiltonian (requested by Referee I)
-Updated bibliography

Reports on this Submission

Anonymous Report 2 on 2020-2-24 (Invited Report)


Pedagogical and thorough study of an interesting family of 1D wave functions


In this new version, Turkeshi and Dalmonte have addressed several new aspects of this interesting problem. They certainly raised many new interesting effects, which deserve further studies.

I believe this manuscript is now ready for publication.

  • validity: high
  • significance: high
  • originality: high
  • clarity: top
  • formatting: perfect
  • grammar: perfect

Anonymous Report 1 on 2020-2-15 (Invited Report)


The paper report calculations on simple Jastrow wave functions that have not been considered before.


The authors replied to my questions in a satisfactory way. I think that now the paper may be published.

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

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