SCIENCE SPIN-OFFS

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Quantum synchronization in disordered superconducting metamaterials

M. V. Fistul

(Submitted on 15 Sep 2016)

I report a theoretical study of collective coherent quantum-mechanical oscillations in disordered superconducting quantum metamaterials (SQMs), i.e artificially fabricated arrays of qubits (two-levels system) embedded in a low-dissipative resonator. An unavoidable disorder in qubits parameters results in a substantial spread of qubits frequencies, and in the absence of electromagnetic interaction between qubits these individual quantum-mechanical oscillations manifest themselves by a large number of small resonant drops in the frequency dependent transmission of electromagnetic waves propagating through disordered SQM, D(?). We show that even a weak electromagnetic interaction between adjacent qubits can overcome the disorder and establish completely or partially \emph{synchronized} quantum-mechanical dynamic state in the disordered SQM. In such a state a large amount of qubits displays the collective quantum mechanical oscillations, and this collective behavior manifests itself by a few giant resonant drops in the D(?) dependence. The size of a system r0 showing the collective (synchronized) quantum-mechanical behavior is determined as r0?a[K/d?]2, where K, d?, a are the energy of nearest-neighbor interaction, the spread of qubits energy splitting, and the distance between qubits, accordingly. Our analysis is in a good accord with recent experiments on the electrodynamics of the disordered SQMs.


http://arxiv.org/abs/1609.04625

so...Entanglement within the material is connected and has an effect on the charge travel thru the material