Quantum dynamics of disordered arrays of interacting superconducting
qubits: signatures of quantum collective states
- URL: http://arxiv.org/abs/2111.14732v1
- Date: Mon, 29 Nov 2021 17:35:43 GMT
- Title: Quantum dynamics of disordered arrays of interacting superconducting
qubits: signatures of quantum collective states
- Authors: M. V. Fistul, O. Neyenhuys, A. B. Bocaz and I. M. Eremin
- Abstract summary: We study theoretically the collective quantum dynamics occurring in superconducting qubits arrays.
Even a weak interaction between qubits can overcome the disorder with a simultaneous formation of the collective excited states.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study theoretically the collective quantum dynamics occurring in various
interacting superconducting qubits arrays (SQAs) in the presence of a spread of
individual qubit frequencies. The interaction is provided by mutual inductive
coupling between adjacent qubits (short-range Ising interaction) or inductive
coupling to a low-dissipative resonator (long-range exchange interaction). In
the absence of interaction the Fourier transform of temporal correlation
function of the total polarization ($z$-projection of the total spin), i.e. the
dynamic susceptibility $C(\omega)$, demonstrates a set of sharp small magnitude
resonances corresponding to the transitions of individual superconducting
qubits. We show that even a weak interaction between qubits can overcome the
disorder with a simultaneous formation of the collective excited states. This
collective behavior manifests itself by a single large resonance in
$C(\omega)$. In the presence of a weak non-resonant microwave photon field in
the low-dissipative resonator, the positions of dominant resonances depend on
the number of photons, i.e. the collective ac Stark effect. Coupling of an SQA
to the transmission line allows a straightforward experimental access of the
collective states in microwave transmission experiments and, at the same time,
to employ SQAs as sensitive single-photon detectors.
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