Quantum dynamics of disordered arrays of interacting superconducting qubits: signatures of quantum collective states

التفاصيل البيبلوغرافية
العنوان: Quantum dynamics of disordered arrays of interacting superconducting qubits: signatures of quantum collective states
المؤلفون: Fistul, M. V., Neyenhuys, O., Bocaz, A. B., Eremin, I. M.
سنة النشر: 2021
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Superconductivity
الوصف: 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.
Comment: 9 pages, 8 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevB.105.104516
URL الوصول: http://arxiv.org/abs/2111.14732
رقم الأكسشن: edsarx.2111.14732
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevB.105.104516