Igor Boettcher

Joint Quantum Institute
University of Maryland

Atlantic Building
College Park, MD 20742

Room: 2343
E-Mail: iboettch (at) umd.edu


Two postdoctoral positions at University of Alberta

Research Interests

  • Quantum field theory of condensed matter systems
  • Renormalization Group: concepts and applications
  • Quantum simulation of curved-space QFT
  • Strongly correlated electrons
    • Superconductivity and tensor order
    • Topological semimetals
    • Quantum phase transitions
  • Ultracold quantum gases
    • Phase structure and thermodynamics
    • Calculation and measurement of the equation of state
    • BCS-BEC crossover and BKT transition
    • Spinor Bose gases


  1. "Optimal Measurement of Field Properties with Quantum Sensor Networks"
    Qian, Bringewatt, Boettcher, Bienias, Gorshkov
  2. "Infrared fixed points of higher-spin fermions in topological semimetals"
    Phys. Rev. B 102, 155104 (2020), [arXiv:2007.03740]
  3. "Critical Theory for the Breakdown of Photon Blockade"
    Curtis, Boettcher, Young, Maghrebi, Carmichael, Gorshkov, Foss-Feig
  4. "d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals"
    Link, Boettcher, Herbut
    Phys. Rev. B 101, 184503 (2020), [arXiv:2001.09224]
    Editors' Suggestion
  5. "Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry"
    Boettcher, Bienias, Belyanksy, Kollár, Gorshkov
    Phys. Rev. A 102, 032208 (2020), [arXiv:1910.12318]
    Editors' Suggestion
    Featured in Physics, Press release JQI News
  6. "Interplay of topology and electron-electron interactions in Rarita-Schwinger-Weyl semimetals"
    Phys. Rev. Lett. 124, 127602 (2020), [arXiv:1907.05354]
    On the Cover
    Press release JQI News
  7. "Ground state of the three-dimensional BCS d-wave superconductor"
    Herbut, Boettcher, Mandal
    Phys. Rev. B 100, 104503 (2019), [arXiv:1907.05015]
  8. "Optical response of Luttinger semimetals in the normal and superconducting states"
    Phys. Rev. B 99, 125146 (2019), [arXiv:1812.07555]
  9. "Critical phenomena at the complex tensor ordering phase transition"
    Boettcher, Herbut
    Phys. Rev. B 97, 064504 (2018), [arXiv:1712.03981]
  10. "Unconventional Superconductivity in Luttinger Semimetals: Theory of Complex Tensor Order and the Emergence of the Uniaxial Nematic State"
    Boettcher, Herbut
    Phys. Rev. Lett. 120, 057002 (2018), [arXiv:1707.03444]
    Press release Simon Fraser University
  11. "High temperature pairing in a strongly interacting two-dimensional Fermi gas"
    Murthy, Neidig, Klemt, Bayha, Boettcher, Enss, Holten, Zürn, Preiss, Jochim
    Science 359, 452 (2018), [arXiv:1705.10577]
    Press release Heidelberg University
  12. "Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals"
    Boettcher, Herbut
    Phys. Rev. B 95, 075149 (2017), [arXiv:1611.05904]
    Editors' Suggestion
  13. "Quasi-long-range order in trapped two-dimensional Bose gases"
    Boettcher, Holzmann
    Phys. Rev. A 94, 011602(R) (2016), [arXiv:1605.00597]
    Rapid Communication
  14. "Dimensional crossover of nonrelativistic bosons"
    Lammers, Boettcher, Wetterich
    Phys. Rev. A 93, 063631 (2016), [arXiv:1603.02409]
  15. "Superconducting quantum criticality in three-dimensional Luttinger semimetals"
    Boettcher, Herbut
    Phys. Rev. B 93, 205138 (2016), [arXiv:1603.00031]
  16. "Equation of State of Ultracold Fermions in the 2D BEC-BCS Crossover Region"
    Boettcher, Bayha, Kedar, Murthy, Neidig, Ries, Wenz, Zürn, Jochim, Enss
    Phys. Rev. Lett. 116, 045303 (2016), [arXiv:1509.03610]
    Editors' Suggestion
    Featured in Physics, Press release Heidelberg University
  17. "Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas"
    Murthy, Boettcher, Bayha, Holzmann, Kedar, Neidig, Ries, Wenz, Zürn, Jochim
    Phys. Rev. Lett. 115, 010401 (2015), [arXiv:1505.02123]
    Editors' Suggestion
  18. "Scaling relations and multicritical phenomena from Functional Renormalization"
    Phys. Rev. E 91, 062112 (2015), [arXiv:1503.07817]
  19. "Observation of Pair Condensation in the Quasi-2D BEC-BCS Crossover"
    Ries, Wenz, Zürn, Bayha, Boettcher, Kedar, Murthy, Neidig, Lompe, Jochim
    Phys. Rev. Lett. 114, 230401 (2015), [arXiv:1409.5373]
    Editors' Suggestion
    Featured in Physics, Press release Heidelberg University
  20. "Sarma phase in relativistic and non-relativistic systems "
    Boettcher, Herbst, Pawlowski, Strodthoff, von Smekal, Wetterich
    Phys. Lett. B 742, 86 (2015), [arXiv:1409.5232]
  21. "Phase structure of spin-imbalanced unitary Fermi gases"
    Boettcher, Braun, Herbst, Pawlowski, Roscher, Wetterich
    Phys. Rev. A 91, 013610 (2015), [arXiv:1409.5070]
  22. "Critical temperature and superfluid gap of the Unitary Fermi Gas from Functional Renormalization"
    Boettcher, Pawlowski, Wetterich
    Phys. Rev. A 89, 053630 (2014), [arXiv:1312.0505]
  23. "Error estimates and specification parameters for functional renormalization"
    Schnoerr, Boettcher, Pawlowski, Wetterich
    Annals Phys. 334 (2013) 83-99, [arXiv:1301.4169]
  24. "Tan contact and universal high momentum behavior of the fermion propagator in the BCS-BEC crossover"
    Boettcher, Diehl, Pawlowski, Wetterich
    Phys. Rev. A 87, 023606 (2013), [arXiv:1209.5641]
  25. "Ultracold atoms and the Functional Renormalization Group"
    Boettcher, Pawlowski, Diehl
    Nucl. Phys. B (Proc. Suppl.) 228 (2012) 63-135, [arXiv:1204.4394]
  26. "Hydrodynamic collective modes for cold trapped gases"
    Boettcher, Floerchinger, Wetterich
    J. Phys. B: At. Mol. Opt. Phys. 44 (2011) 235301, [arXiv:1103.5342]
publications from the arXiv and Google Scholar
summaries of selected articles for non-scientists


  • Doctoral thesis "Dimensional BCS-BEC crossover in ultracold Fermi gases" (Heidelberg University, 2014) under the supervision of C. Wetterich
  • Diploma thesis "Precision observables for ultracold quantum gases" (Heidelberg University, 2011) under the supervision of C. Wetterich


  • Otto-Haxel-Prize 2011 for the diploma thesis "Precision observables for ultracold quantum gases", awarded by the Faculty of Physics and Astronomy, Heidelberg University


  • Exercises for Theoretical Physics III for Teachers (Heidelberg, SS 15)
  • Tutorial on Electrodynamics Seminar (Heidelberg, WS 12)
  • Exercises for Statistical Mechanics (Heidelberg, WS 11/12)
  • Tutorial on Quantum Mechanics (Heidelberg, SS 11)
  • Tutorial on Quantum Mechanics (Heidelberg, SS 10)
  • Tutorial on Statistical Mechanics (Heidelberg, WS 09/10)
  • Tutorial on Quantum Mechanics (Heidelberg, SS 09)
  • Tutorial on Electrodynamics (Heidelberg, WS 08/09)