Interactions in the time-domain within the Floquet-Bloch formalism

ORAL

Abstract

The rich landscape of phenomena in condensed matter physics is strongly tied to quasi particle interactions. In the static domain and in equilibrium, treating interaction effects is conceptually established. Out of equilibrium, novel phenomena emerge. We report about an extension of the Hatsugai-Kohmoto model [1] into the time domain. This model, local in momentum and exactly solvable, captures the essential leading contributions of strongly correlated quantum systems. In the time-domain, it serves as a platform to investigate dynamic quantum phases of matter. We focus on the case of coherently driven matter which can be approximated in the Floquet-Bloch framework adopted recently [2].

*We acknowledge the computing resources provided by the Center for Functional Nanomaterials, which is a U.S. DOE Office of Science Facility, at Brookhaven National Laboratory under Contract No. DE-SC0012704 and the Swedish national infrastructure for computing - SNIC provided by the high performance computing center north (HPC2N). We acknowledge support from a Los Alamos grant through the U.S. DOE. This research also used funding from the ERC synergy grant "HERO" (No 810451), VILLUM FONDEN via the Centre of Excellence for Dirac Materials (Grant No. 11744), the Knut and Alice Wallenberg foundation ( 2019.0068) as well as the Vetenskapsrådet (no. 2017.03997).

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Publication: [1] Y. Hatsugai and M. Kohmoto, J. Phys. Soc. Jpn. 61, 2056 (1992)
[2] G. W. Fernando, R. M. Geihufe, A-G. Kussow, W. De Silva, EPL 134, 37004 (2021)

Presenters

  • Gayanath Fernando

    • University of Connecticut

Authors

  • R. Matthias Geilhufe

    • NORDITA

  • Gayanath Fernando

    • University of Connecticut