CaltechAUTHORS
Published July 2016 | Version Published + Submitted
Journal Article Open

Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon University of Tübingen
  • 3. ROR icon University of Zurich
  • 4. ROR icon Institute of Science and Technology Austria

Abstract

We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to thermal equilibrium states at temperatures near the critical temperature, we show that the magnitude of the order parameter stays approximately constant in time and, in particular, does not follow a time-dependent Ginzburg–Landau equation, which is often employed as a phenomenological description and predicts a decay of the order parameter in time. The full non-linear structure of the equations is necessary to understand this behavior.

Additional Information

© 2016 The Authors. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Received: 6 November 2015; Revised: 15 April 2016; Accepted: 16 April 2016; Published online: 10 May 2016. Open access funding provided by Institute of Science and Technology (IST Austria). Financial support from the U.S. National Science Foundation through Grants PHY-1347399 and DMS-1363432 (R.L.F.), SwissMAP and SNF Grant Nr. 200021-153621 (B.S.), and the Austrian Science Fund (FWF) project Nr. P 27533-N27 (R.S.) is acknowledged.

Attached Files

Published - art_10.1007_s11005-016-0847-5.pdf

Submitted - 1504.05885v2.pdf

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1504.05885v2.pdf

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Additional details

Identifiers

Eprint ID
69171
Resolver ID
CaltechAUTHORS:20160722-140945826

Related works

Describes
https://arxiv.org/abs/1504.05885 (URL)

Funding

Institute of Science and Technology Austria
NSF
PHY-1347399
NSF
DMS-1363432
SwissMAP
Swiss National Fund (SNF)
200021-153621
FWF Der Wissenschaftsfonds
P 27533-N27

Dates

Created
2016-07-25
Created from EPrint's datestamp field
Updated
2021-11-11
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department