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Exact Thermal Properties of Integrable Spin Chains
by Michał Białończyk, Fernando Javier Gómez-Ruiz, Adolfo del Campo
This is not the latest submitted version.
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Submission summary
| Authors (as registered SciPost users): | Michał Białończyk · Fernando Gómez-Ruiz |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202104_00014v2 (pdf) |
| Date submitted: | 2021-05-21 17:48 |
| Submitted by: | Białończyk, Michał |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
An exact description of integrable spin chains at finite temperature is provided using an elementary algebraic approach in the complete Hilbert space of the system. We focus on spin chain models that admit a description in terms of free fermions, including paradigmatic examples such as the one-dimensional transverse-field quantum Ising and XY models. The exact partition function is derived and compared with the ubiquitous approximation in which only the positive parity sector of the energy spectrum is considered. Errors stemming from this approximation are identified in the neighborhood of the critical point at low temperatures. We further provide the full counting statistics of a wide class of observables at thermal equilibrium and characterize in detail the thermal distribution of the kink number and transverse magnetization in the transverse-field quantum Ising chain.
Author comments upon resubmission
We have taken into account remarks of the referees and changed the manuscript accordingly (precise responses are in the answers to reports section). We hope that it will better fit to publication in SciPost now.
Yours sincerely,
Michał Białończyk, Fernando Gómez-Ruiz, Adolfo del Campo
List of changes
- at the end of Discussion section, we added: “As a prospect, it is interesting to extend our results to the generalized Gibbs state whenever the relaxing dynamics of an initial state preserves a set of integrals of motion.”
- We corrected the mistake in equation (5) - it should be "L" instead of "L+1" in second line. Moreover, there were two daggers missing, we corrected it.
- We expanded the paragraph after equation (66) according to second referee report
- We added references, mainly the reference to Takahashi's book (according to the remark of referee).
Current status:
Reports on this Submission
Report #1 by Ning Wu (Referee 2) on 2021-5-25 (Invited Report)
Report
In their reply letter, the authors made a comprehensive comparison between their results and Takahashi's. They also made a more appropriate reference to S. Katsura's early work in the revised manuscript. I therefore recommend publication of the paper in SciPost Physics.