Simulating long-range hopping with periodically-driven superconducting
qubits
- URL: http://arxiv.org/abs/2102.09590v3
- Date: Thu, 19 Aug 2021 14:26:02 GMT
- Title: Simulating long-range hopping with periodically-driven superconducting
qubits
- Authors: Mor M. Roses, Haggai Landa, Emanuele G. Dalla Torre
- Abstract summary: We simulate quantum lattice models with long-range hopping on a periodic drive with a power-law spectrum.
Our work offers a useful benchmark of pulse engineering and opens the route towards quantum simulations of rich nonequilibrium effects.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum computers are a leading platform for the simulation of many-body
physics. This task has been recently facilitated by the possibility to program
directly the time-dependent pulses sent to the computer. Here, we use this
feature to simulate quantum lattice models with long-range hopping. Our
approach is based on an exact mapping between periodically driven quantum
systems and one-dimensional lattices in the synthetic Floquet direction. By
engineering a periodic drive with a power-law spectrum, we simulate a lattice
with long-range hopping, whose decay exponent is freely tunable. We propose and
realize experimentally two protocols to probe the long tails of the Floquet
eigenfunctions and to identify a scaling transition between weak and strong
long-range couplings. Our work offers a useful benchmark of pulse engineering
and opens the route towards quantum simulations of rich nonequilibrium effects.
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