Kavli Affiliate: Debanjan Chowdhury
| First 5 Authors: Keiran Lewellen, Rohit Mukherjee, Haoyu Guo, Saswata Roy, Valla Fatemi
| Summary:
Floquet engineering is a powerful method that can be used to modify the
properties of interacting many-body Hamiltonians via the application of
periodic time-dependent drives. Here we consider the physics of an inductively
shunted superconducting Josephson junction in the presence of Floquet drives in
the fluxonium regime and beyond, which we dub the frozonium artificial atom. We
find that in the vicinity of special ratios of the drive amplitude and
frequency, the many-body dynamics can be tuned to that of an effectively linear
bosonic oscillator, with additional nonlinear corrections that are suppressed
in higher powers of the drive frequency. By analyzing the inverse participation
ratios between the time-evolved frozonium wavefunctions and the eigenbasis of a
linear oscillator, we demonstrate the ability to achieve a novel dynamical
control using a combination of numerical exact diagonalization and
Floquet-Magnus expansion. We discuss the physics of resonances between
quasi-energy states induced by the drive, and ways to mitigate their effects.
We also highlight the enhanced protection of frozonium against external sources
of noise present in experimental setups. This work lays the foundation for
future applications in quantum memory and bosonic quantum control using
superconducting circuits.
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