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Changes7

  1. added a point to plan
    AlQuemist
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  2. added keyword
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  3. ref modified
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  4. cosmetic modifications
    AlQuemist
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  5. added note
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  6. comment added
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  7. first version created.
    AlQuemist
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Comments5

  • AlQuemist 25 January 2018, 20:25 (UTC+00:00)

    This is a test comment to check MathJax support:
    All the way down the road, I was thinking of this equation $ Z = \tr \exp^\mathbb{A} $. This is strange.

  • Ivar Martin 23 February 2018, 18:15 (UTC+00:00)

    There is an alternative way to think of MF theory as a search for an optimal solution within a variational manifold, e.g. Slater determinants in the case of interacting fermions. Recent references, with nontrivial results but written in an educational way are papers that include Demler and Cirac as coauthors (2017, 2018)

  • AlQuemist 26 February 2018, 07:52 (UTC+00:00)

    @Ivar Martin: very interesting point. I came to understand that mean-field theory is actually much deeper than one would think from the impression given in textbooks. Could you please post the link to the papers? Googling didn't help.

  • Ivar Martin 26 February 2018, 16:03 (UTC+00:00)

    @AIQuemist, here are some refs. I'd start with 4.

    1. arXiv:1802.03861 [pdf, other]
      Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
      Yuto Ashida, Tao Shi, Mari Carmen Bañuls, J. Ignacio Cirac, Eugene Demler
      Comments: 15 pages, 9 figures
      Subjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
    2. arXiv:1801.05825 [pdf, other]
      Solving quantum impurity problems in and out of equilibrium with variational approach
      Yuto Ashida, Tao Shi, Mari Carmen Bañuls, J. Ignacio Cirac, Eugene Demler
      Comments: 6 pages, 4 figures
      Subjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
    3. arXiv:1801.01132 [pdf, other]
      Exploring the Kondo model in and out of equilibrium with alkaline-earth atoms
      Márton Kanász-Nagy, Yuto Ashida, Tao Shi, Catalin Pascu Moca, Tatsuhiko N. Ikeda, Simon Fölling, J. Ignacio Cirac, Gergely Zaránd, Eugene A. Demler
      Comments: 22 pages, 12 figures
      Subjects: Quantum Gases (cond-mat.quant-gas); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)
    4. arXiv:1707.05902 [pdf, other]
      Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
      Tao Shi, Eugene Demler, J. Ignacio Cirac
      Comments: 45 pages, 14 figures
      Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)
  • Ivar Martin 26 February 2018, 16:04 (UTC+00:00)

    sorry for bad formatting,

    will fix it :)

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