Movies on "Quantum quench in matrix models: Dynamical phase transitions, Selective equilibriation and the Generalized Gibbs Ensemble" (arXiv:1302.0859)

Gautam Mandal and Takeshi Morita


In this website, we exhibit the movies of the time evolutions of the eigen values of unitary matrix models.

Single trace matrix model (section 2)
Exact calculation at N=120

  • Fig. 4(left): From gapless toward gapped (from t=0 until t=200)
    Time evolution of eigenvalue density [wmv (3.9MB)] [mp4 (8.6MB)]


  • Fig. 4(right): From gapped to gapless (from t=0 until t=200)
    Time evolution of eigenvalue density [wmv (3.2MB)] [mp4 (5.6MB)]


  • Single trace matrix model (section 2)
    Semiclassical approximation

  • Fig. 4(left): From gapless toward gapped (from t=0 until t=100)
    Time evolution of phase space droplet [wmv (4.4MB)] [mp4 (6.3MB)], Time evolution of eigenvalue density [wmv (1.3MB)] [mp4 (2.3MB)]


  • Fig. 4(right): From gapped to gapless (from t=0 until t=100)
    Time evolution of phase space droplet [wmv (4.4MB)] [mp4 (6.3MB)], Time evolution of eigenvalue density [wmv (1.3MB)] [mp4 (2.4MB)]


  • Double trace matrix model (section 3)
    Semiclassical approximation

  • Fig. 9: From uniform to non-uniform (from t=0 until t=100)
    Time evolution of phase space droplet [wmv (4.4MB)] [mp4 (6.4MB)], Time evolution of eigenvalue density [wmv (1.4MB)] [mp4 (2.0MB)]


  • Fig. 10: From gapped to uniform (from t=0 until t=400)
    Time evolution of phase space droplet [wmv (3.8MB)] [mp4 (5.2MB)], Time evolution of eigenvalue density [wmv (1.1MB)] [mp4 (2.0MB)]


  • Fig. 11: From uniform to 2 solitons(?) (from t=0 until t=80)
    Time evolution of phase space droplet [wmv (3.5MB)] [mp4 (5.3MB)], Time evolution of eigenvalue density [wmv (1.0MB)] [mp4 (1.6MB)]


  • Fig. 12: From uniform to gapped via 2 blobs (from t=0 until t=80)
    Time evolution of phase space droplet [wmv (2.3MB)] [mp4 (5.4MB)], Time evolution of eigenvalue density [wmv (0.7MB)] [mp4 (1.8MB)]



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