Quantum dynamics of a two-level fractional Hall system on NISQ devices.

ORAL

Abstract


In quantum fractional Hall systems, physical properties are dominated by electron-electron interaction, resulting in most remarkable phenomenon like quantized resistivity, fractional quasiparticle excitations etc. Ground state properties and excited state dynamics of such systems can be evaluated on classical computer using exact diagonalization techniques on small systems due to an exponential increase of the Hilbert space. In this talk, we will present quantum algorithms to simulate short-time quantum dynamics of a two-level fractional Hall system under a laser-driven electromagnetic pulse. By using IBM-NISQ Quantum Computers, we identify the existence of highly novel excited states that carry Hall current. In addition, high harmonic generation of such non-trivial phenomena is also measured on quantum computers.

* This work was supported by the U.S. DOE NNSA under Cont. No. 89233218CNA000001 through the LANL LDRD Program, and in part by Center for Integrated Nanotechnologies, a DOE BES user facility.

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Presenters

  • Ammar Kirmani

    1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Authors

  • Ammar Kirmani

    1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

  • Benedikt Fauseweh

    German Aerospace Center (DLR), Condensed Matter Theory, Department of Physics, TU Dortmund University, Otto-Hahn-Straße 4, D-44221 Dortmund, Germany

  • Jian-Xin Zhu

    Los Alamos National Laboratory, Los Alamos Natl Lab, Theoretical Division, Los Alamos National Laboratory, Los Alamos,NM87545, USA, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA