A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits.

Abstract:

:We propose a graph-theoretical formalism to study generic circuit quantum electrodynamics systems consisting of a two level qubit coupled with a single-mode resonator in arbitrary coupling strength regimes beyond rotating-wave approximation. We define colored-weighted graphs, and introduce different products between them to investigate the dynamics of superconducting qubits in transverse, longitudinal, and bidirectional coupling schemes. The intuitive and predictive picture provided by this method, and the simplicity of the mathematical construction, are demonstrated with some numerical studies of the multiphoton resonance processes and quantum interference phenomena for the superconducting qubit systems driven by intense ac fields.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Jooya HZ,Reihani K,Chu SI

doi

10.1038/srep37544

subject

Has Abstract

pub_date

2016-11-21 00:00:00

pages

37544

issn

2045-2322

pii

srep37544

journal_volume

6

pub_type

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