dorsal/arxiv
View SchemaSuperconducting Phase Qubit Coupled to a Nanomechanical Resonator: Beyond the Rotating-Wave Approximation
| Authors | Andrew T. Sornborger, Andrew N. Cleland, Michael R. Geller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407106 |
| URL | https://arxiv.org/abs/quant-ph/0407106 |
| DOI | 10.1103/PhysRevA.70.052315 |
Abstract
We consider a simple model of a Josephson junction phase qubit coupled to a solid-state nanoelectromechanical resonator. This and many related qubit-resonator models are analogous to an atom in an electromagnetic cavity. When the systems are weakly coupled and nearly resonant, the dynamics is accurately described by the rotating-wave approximation (RWA) or the Jaynes-Cummings model of quantum optics. However, the desire to develop faster quantum-information-processing protocols necessitates approximate, yet analytic descriptions that are valid for more strongly coupled qubit-resonator systems. Here we present a simple theoretical technique, using a basis of dressed states, to perturbatively account for the leading-order corrections to the RWA. By comparison with exact numerical results, we demonstrate that the method is accurate for moderately strong coupling, and provides a useful theoretical tool for describing fast quantum information processing. The method applies to any quantum two-level system linearly coupled to a harmonic oscillator or single-mode boson field.
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"abstract": "We consider a simple model of a Josephson junction phase qubit coupled to a\nsolid-state nanoelectromechanical resonator. This and many related\nqubit-resonator models are analogous to an atom in an electromagnetic cavity.\nWhen the systems are weakly coupled and nearly resonant, the dynamics is\naccurately described by the rotating-wave approximation (RWA) or the\nJaynes-Cummings model of quantum optics. However, the desire to develop faster\nquantum-information-processing protocols necessitates approximate, yet analytic\ndescriptions that are valid for more strongly coupled qubit-resonator systems.\nHere we present a simple theoretical technique, using a basis of dressed\nstates, to perturbatively account for the leading-order corrections to the RWA.\nBy comparison with exact numerical results, we demonstrate that the method is\naccurate for moderately strong coupling, and provides a useful theoretical tool\nfor describing fast quantum information processing. The method applies to any\nquantum two-level system linearly coupled to a harmonic oscillator or\nsingle-mode boson field.",
"arxiv_id": "quant-ph/0407106",
"authors": [
"Andrew T. Sornborger",
"Andrew N. Cleland",
"Michael R. Geller"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.052315",
"title": "Superconducting Phase Qubit Coupled to a Nanomechanical Resonator: Beyond the Rotating-Wave Approximation",
"url": "https://arxiv.org/abs/quant-ph/0407106"
},
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