Bound states in the continuum in a fluxonium qutrit
- URL: http://arxiv.org/abs/2205.07757v3
- Date: Wed, 12 Jul 2023 10:21:25 GMT
- Title: Bound states in the continuum in a fluxonium qutrit
- Authors: Mar\'ia Hita-P\'erez, Pedro Orellana, Juan Jos\'e Garc\'ia-Ripoll,
Manuel Pino
- Abstract summary: Heavy fluxonium at zero external flux has a long-lived state when coupled capacitively to any other system.
This state becomes a bound-state in the continuum (BIC) when the coupling occurs to an extended system.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The heavy fluxonium at zero external flux has a long-lived state when coupled
capacitively to any other system. We analyze it by projecting all the fluxonium
relevant operators into the qutrit subspace, as this long-lived configuration
corresponds to the second excited fluxonium level. This state becomes a
bound-state in the continuum (BIC) when the coupling occurs to an extended
system supporting a continuum of modes. In the case without noise, we find BIC
lifetimes that can be much larger than seconds $T_1\gg {\rm s}$ when the
fluxonium is coupled to a superconducting waveguide, while typical device
frequencies are in the order of ${\rm GHz}$. We have performed a detailed study
of the different sources of decoherence in a realistic experiment, obtaining
that upward transitions caused by a finite temperature in the waveguide and
decay induced by $1/f$-flux noise are the most dangerous ones. Even in their
presence, BICs decay times could reach the range of ${T_1\sim \rm 10^{-1} ms},$
while preparation times are of the order of $10^{2}$ns.
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