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Trapped Ion Quantum Computing Superconducting Qubits

Quantum chaos in an ultra-strongly coupled bosonic junction

arXiv

Authors: Uta Naether, Juan José García-Ripoll, Juan José Mazo, David Zueco

Year

2013

Paper ID

32955

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

The classical and quantum dynamics of two ultra-strongly coupled and weakly nonlinear resonators cannot be explained using the Discrete Nonlinear Schrödinger Equation or the Bose-Hubbard model, respectively. Instead, a model beyond the Rotating Wave Approximation must be studied. In the classical limit this model is not integrable and becomes chaotic for a finite window of parameters. For the quantum dimer we find corresponding regions of stability and chaos. The more striking consequence for both classical and quantum chaos is that the tunneling time between the sites becomes unpredictable. These results, including the transition to chaos, can be tested in experiments with superconducting microwave resonators.

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The classical and quantum dynamics of two ultra-strongly coupled and weakly nonlinear resonators cannot be explained using the Discrete Nonlinear Schrödinger Equation or the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.0391 [2] arXiv https://arxiv.org/abs/1309.0391 [3] Publisher https://arxiv.org/abs/1309.0391

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