Andreas Deuchert

Andreas Deuchert portrait

I am currently a lecturer at the Institute of Mathematics of the University of Zurich financed by an Ambizione Fellowship of the Swiss National Science Foundation. My main research interests are mathematical quantum mechanics and quantum statistical mechanics. More specifically I am applying techniques from Analysis, Functional Analysis and Probability to problems coming from condensed matter and cold atom physics. Currently I am mostly interested in the mathematics of Bose gases at positive temperature. Two other important themes of my work are mathematical aspects of the BCS theory of superconductivity and the physics of the angulon quasi-particle. For more information see my CV.

Upcoming lecture on mathematical statistical mechanics

In the summer term 2021 I will give a lecture with the title mathematical statistical mechanics at the Institute of Mathematics of the University of Zurich. The course is intended for Master and PhD students in Mathematics and Physics at UZH and at ETH Zurich. More information can be found on the course webpage.

Publications and Preprints

  1. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
    Andreas Deuchert, Robert Seiringer,
    arXiv:2009.00992 [math-ph] (2020).
  2. Intermolecular forces and correlations mediated by a phonon bath
    Xiang Li, Enderalp Yakaboylu, Giacomo Bighin, Richard Schmidt, Mikhail Lemeshko and Andreas Deuchert,
    Journal of Chemical Physics 152, 164302 (2020)
    arXiv:1912.02658 [cond-mat.mes-hall], doi.org/10.1063/1.5144759.
  3. The free energy of the two-dimensional dilute Bose gas. I. Lower bound
    Andreas Deuchert, Simon Mayer and Robert Seiringer,
    Forum of Mathematics, Sigma, Volume 8 (2020)
    arXiv:1910.03372 [math-ph], doi.org/10.1017/fms.2020.17.
  4. Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature
    Andreas Deuchert and Robert Seiringer,
    Archive for Rational Mechanics and Analysis, 236(3), 1217 (2020)
    arXiv:1901.11363 [math-ph], doi.org/10.1007/s00205-020-01489-4.
    Oberwolfach Report (three page summary).
  5. Theory of the rotating polaron: Spectrum and self-localization
    Enderalp Yakaboylu, Bikashkali Midya, Andreas Deuchert, Nikolai Leopold and Mikhail Lemeshko,
    Phys. Rev. B 98, 224506 (2018)
    arXiv:1809.01204 [cond-mat.quant-gas], doi.org/10.1103/PhysRevB.98.224506.
  6. Bose-Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature
    Andreas Deuchert, Robert Seiringer and Jakob Yngvason,
    Commun. Math. Phys. 368, 723 (2019)
    arXiv:1803.05180 [math-ph], doi.org/10.1007/s00220-018-3239-0.
  7. Emergence of non-abelian magnetic monopoles in a quantum impurity problem
    Enderalp Yakaboylu, Andreas Deuchert and Mikhail Lemeshko,
    Phys. Rev. Lett. 119, 235301 (2017)
    arXiv:1705.05162 [cond-mat.quant-gas], doi.org/10.1103,
    Coverage in public media (english) Gizmodo, Phys.org, (german) Der Standard, ProPhysik.
  8. A lower bound for the BCS functional with boundary conditions at infinity
    Andreas Deuchert,
    Journal of Mathematical Physics 58, 081901 (2017)
    arXiv:1703.04616 [math-ph], doi:10.1063/1.4996580.
  9. Persistence of translational symmetry in the BCS model with radial pair interaction
    Andreas Deuchert, Alissa Geisinger, Christian Hainzl and Michael Loss,
    Ann. Henri Poincaré 19: 1507 (2018)
    arXiv:1612.03303 [math-ph], doi.org/10.1007.
  10. Note on a Family of Monotone Quantum Relative Entropies
    Andreas Deuchert, Christian Hainzl and Robert Seiringer,
    Lett. Math. Phys. 105, 1449 (2015)
    arXiv:1502.07205 [math-ph], doi:10.1007/s11005-015-0787-5.
  11. Dynamics and symmetries of a repulsively bound atom pair in an infinite optical lattice
    Andreas Deuchert, Kaspar Sakmann, Alexej I. Streltsov, Ofir E. Alon and Lorenz S. Cederbaum,
    Phys. Rev. A 86, 013618 (2012)
    arXiv:1202.4111 [cond-mat.quant-gas], doi:10.1103/PhysRevA.86.013618.

Slides

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