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Statistical mechanics of integrable quantum spin systems

by Frank Göhmann

Submission summary

As Contributors: Frank Göhmann
Arxiv Link: https://arxiv.org/abs/1909.09967v3 (pdf)
Date accepted: 2020-06-16
Date submitted: 2020-06-10
Submitted by: Göhmann, Frank
Submitted to: SciPost Physics Lecture Notes
Discipline: Physics
Subject area: Quantum Physics
Approach: Theoretical

Abstract

This script is based on the notes the author prepared to give a set of six lectures at the Les Houches School "Integrability in Atomic and Condensed Matter Physics" in the summer of 2018. The school had its focus on the application of integrability based methods to problems in non-equilibrium statistical mechanics. The lectures were meant to complement this subject with background material on the equilibrium statistical mechanics of quantum spin chains from a vertex model perspective. The author was asked to provide a minimal introduction to quantum spin systems including notions like the reduced density matrix and correlation functions of local observables. He was further asked to explain the graphical language of vertex models and to introduce the concepts of the Trotter decomposition and the quantum transfer matrix. This was basically the contents of the first four lectures presented at the school. In the remaining two lectures these notions were filled with life by deriving an integral representation of the free energy per lattice site for the Heisenberg-Ising chain (alias XXZ model) using techniques based on non-linear integral equations.

Current status:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics Lecture Notes: Publish
(status: Editorial decision fixed and (if required) accepted by authors)




Reports on this Submission

Anonymous Report 2 on 2020-6-14 Invited Report

Strengths

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Weaknesses

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Report

The author followed my suggestions. I recommend publication in the present form.

Requested changes

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Anonymous Report 1 on 2020-6-11 Invited Report

Report

The author followed the main suggestions of my previous report, I recommend the lecture notes for publication in the present form

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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