Entangled states in a Josephson charge qubit coupled to a superconducting resonator

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dc.creatorBuisson, O.
dc.creatorHekking, F. W. J.
dc.date2000-08-18
dc.date.accessioned2026-07-07T02:38:31Z
dc.date.available2026-07-07T02:38:31Z
dc.descriptionWe study the dynamics of a quantum superconducting circuit which is the analogue of an atom in a high-Q cavity. The circuit consists of a Josephson charge qubit coupled to a superconducting resonator. The charge qubit can be treated as a two level quantum system whose energy separation is split by the Josephson energy $E_j$. The superconducting resonator in our proposal is the analogue of a photon box and is described by a quantum harmonic oscillator with characteristic frequency $ω_r$. The coupling between the charge qubit and the resonator is realized by a coupling capacitance $C_c$. We have studied the eigenstates as well as the dynamics of the quantum circuit. Interesting phenomena occur when the Josephson energy equals the oscillator frequency, $E_j=\hbarω_r$. Then the quantum circuit is described by entangled states. We have deduced the time evolution of these states in the limit of weak coupling between the charge qubit and the resonator. We found Rabi oscillations of the excited charge qubit eigenstate. This effect is explained by the spontaneous emission and re-absorption of a single photon in the superconducting resonator.
dc.descriptionSubmitted to the proceedings of the conference on Macroscopic Quantum Coherence and Computing, Naples, Italy, June 2000
dc.identifierhttps://arxiv.org/abs/cond-mat/0008275
dc.identifierhttp://arxiv.org/abs/cond-mat/0008275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16695
dc.subjectSuperconductivity
dc.subjectMesoscale and Nanoscale Physics
dc.titleEntangled states in a Josephson charge qubit coupled to a superconducting resonator
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