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Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets

by Riccardo Senese, Jacob H. Robertson, Fabian H. L. Essler

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Submission summary

Authors (as registered SciPost users): Fabian Essler · Riccardo Senese
Submission information
Preprint Link: https://arxiv.org/abs/2312.11333v2  (pdf)
Date accepted: 2024-10-28
Date submitted: 2024-10-18 12:35
Submitted by: Senese, Riccardo
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical

Abstract

We consider the probability distributions of the subsystem (staggered) magnetization in ordered and disordered models of quantum magnets in D dimensions. We focus on Heisenberg antiferromagnets and long-range transverse-field Ising models as particular examples. By employing a range of self-consistent time-dependent mean-field approximations in conjunction with Holstein-Primakoff, Dyson-Maleev, Schwinger boson and modified spin-wave theory representations we obtain results in thermal equilibrium as well as during non-equilibrium evolution after quantum quenches. To extract probability distributions we derive a simple formula for the characteristic function of generic quadratic observables in any Gaussian theory of bosons.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

We thank the editor for processing our submission and the referees for their positive evaluation of our work and their valuable comments.
We provide a detailed answer to all the points they have raised (see PDF attached to the reply to the referees' reports). We hope that our revisions meet the expectations.

List of changes

This is a short list of changes. For more details see PDF attached to the reply to the referees' reports.

1) Inserted a table of contents.
2) Clarified in the introduction which systems our method can be successfully applied to.
3) Inserted new directions for future research in our conclusions.
4) Better stressed the phenomenological nature of our EVS fits.
5) Inserted current Eq. (10).
6) Added a few references in the introduction and conclusions.
7) Made additional minor edits.

Published as SciPost Phys. 17, 139 (2024)

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