Quantum transport and localization in 1d and 2d tight-binding lattices
- URL: http://arxiv.org/abs/2107.05035v1
- Date: Sun, 11 Jul 2021 12:36:12 GMT
- Title: Quantum transport and localization in 1d and 2d tight-binding lattices
- Authors: Amir H. Karamlou, Jochen Braum\"uller, Yariv Yanay, Agustin Di Paolo,
Patrick Harrington, Bharath Kannan, David Kim, Morten Kjaergaard, Alexander
Melville, Sarah Muschinske, Bethany Niedzielski, Antti Veps\"al\"ainen, Roni
Winik, Jonilyn L. Yoder, Mollie Schwartz, Charles Tahan, Terry P. Orlando,
Simon Gustavsson and William D. Oliver
- Abstract summary: Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian.
Here, we experimentally study quantum transport in one-dimensional and two-dimensional tight-binding lattices, emulated by a fully controllable $3 times 3$ array of superconducting qubits.
- Score: 39.26291658500249
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Particle transport and localization phenomena in condensed-matter systems can
be modeled using a tight-binding lattice Hamiltonian. The ideal experimental
emulation of such a model utilizes simultaneous, high-fidelity control and
readout of each lattice site in a highly coherent quantum system. Here, we
experimentally study quantum transport in one-dimensional and two-dimensional
tight-binding lattices, emulated by a fully controllable $3 \times 3$ array of
superconducting qubits. We probe the propagation of entanglement throughout the
lattice and extract the degree of localization in the Anderson and
Wannier-Stark regimes in the presence of site-tunable disorder strengths and
gradients. Our results are in quantitative agreement with numerical simulations
and match theoretical predictions based on the tight-binding model. The
demonstrated level of experimental control and accuracy in extracting the
system observables of interest will enable the exploration of larger,
interacting lattices where numerical simulations become intractable.
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