Simulating quantum transport and localization using a superconducting quantum processor

ORAL

Abstract

Quantum transport plays an important role in electron and phonon conduction in interacting condensed matter systems in the presence of inelastic scattering. Using an array of superconducting qubits, we emulate a 1-dimesional and 2-dimentsional tight-binding lattice in various parameter regimes. We first observe ballistic transport in quantum random walks on a lattice with uniform site energies. Next, we study the absence of diffusion in a disordered lattice due to Anderson localization and experimentally extract the scaling of the inverse participation ratio as a proxy for the degree of localization. Finally, we simulate the tight-binding model in the presence of a dc-field, leading to Wannier-Stark localization and Bloch oscillations.

*A.K. is funded by NSF GRFP 2018265551. This research was funded in part by the National Science Foundation under grants PHY-1720311 and 1839197; and by the Department of Defense via MIT Lincoln Laboratory under U.S. Air Force Contract No. FA8721-05-C-0002. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements of the U.S. Government.

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Presenters

  • Amir Karamlou

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology

Authors

  • Amir Karamlou

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology

  • Jochen Braumueller

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • MIT

  • Bharath Kannan

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Department of Electrical Engineering & Computer Science, Massachusetts Institute of Technology

  • David K Kim

    • MIT Lincoln Lab
    • MIT Lincoln Laboratory
    • Lincoln Laboratory, MIT
    • MIT - Lincoln Laboratory
    • Massachusetts Institute of Technology MIT

  • Morten Kjaergaard

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • MIT

  • Alexander Melville

    • MIT Lincoln Lab
    • MIT Lincoln Laboratory
    • Lincoln Laboratory, MIT
    • MIT - Lincoln Laboratory

  • Bethany Niedzielski

    • MIT Lincoln Laboratory
    • MIT Lincoln Lab
    • Lincoln Laboratory, MIT
    • MIT - Lincoln Laboratory
    • Massachusetts Institute of Technology MIT

  • Youngkyu Sung

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • MIT
    • Research Laboratory of Electronics, Massachusetts Institute of Technology

  • Antti Vepsäläinen

    • MIT Research Laboratory of Electronics
    • Massachusetts Institute of Technology
    • Massachusetts Institute of Technology MIT
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Aalto University
    • Department of Electrical Engineering & Computer Science, Massachusetts Institute of Technology

  • Roni Winik

    • MIT Research Laboratory of Electronics
    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • MIT

  • Yariv Yanay

    • Laboratory for Physical Sciences

  • Jonilyn Yoder

    • MIT Lincoln Laboratory
    • MIT Lincoln Lab
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Lincoln Laboratory, MIT
    • MIT - Lincoln Laboratory
    • Massachusetts Institute of Technology MIT

  • Charles Tahan

    • Laboratory for Physical Sciences
    • Laboratory for Physical Sciences, College Park, MD 20740, U.S.A.

  • Terry Philip Orlando

    • Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • MIT
    • Research Laboratory of Electronics and Department of Electrical Engineering & Computer Science, Massachusetts Institute of Technology
    • Department of Electrical Engineering & Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology

  • Simon Gustavsson

    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • MIT Research Laboratory of Electronics
    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • MIT

  • William Oliver

    • MIT Lincoln Laboratory
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, MIT Lincoln Laboratory, Department of Electrical Engineering and Computer Science
    • MIT Research Laboratory of Electronics, MIT Lincoln Laboratory, MIT Department of Electrical Engineering and Computer Science
    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology, MIT Lincoln Laboratory
    • MIT
    • MIT, MIT Lincoln Lab
    • MIT Lincoln Lab
    • MIT Lincoln Lab, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Department of Electrical Engineering and Computer Science, and Department of Physics, Massachusetts Institute of Technology. MIT Lincoln L
    • Department of Physics, Department of Electrical Engineering & Computer Science, Research Laboratory of Electronics, MIT Lincoln Laboratory, Massachusetts Institute of Technol
    • Lincoln Laboratory, Research Laboratory of Electronics, and Department of Electrical Engineering & Computer Science, MIT