2005
DOI: 10.1103/physrevb.72.094509
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Energy downconversion between classical electromagnetic fields via a quantum mechanical SQUID ring

Abstract: We consider the interaction of a quantum mechanical SQUID ring with a classical resonator ͑a parallel LC tank circuit͒. In our model we assume that the evolution of the ring maintains its quantum mechanical nature, even though the circuit to which it is coupled is treated classically. We show that when the SQUID ring is driven by a classical monochromatic microwave source, energy can be transferred between this input and the tank circuit, even when the frequency ratio between them is very large. Essentially, t… Show more

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Cited by 4 publications
(5 citation statements)
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“…[10]. Examples of spin ensembles are cold-atomic gases, nitrogen-vacancy (NV) centers in diamonds, and rare-earth-doped crystals, of which the strong coupling of a magnetic-dipole transition with a microwave resonator has been recently experimentally demonstrated [11][12][13][14][15][16][17]. Such a great variety of spin ensembles exhibit different features, which require the application of adequate conversion protocols [18].…”
Section: Introductionmentioning
confidence: 98%
“…[10]. Examples of spin ensembles are cold-atomic gases, nitrogen-vacancy (NV) centers in diamonds, and rare-earth-doped crystals, of which the strong coupling of a magnetic-dipole transition with a microwave resonator has been recently experimentally demonstrated [11][12][13][14][15][16][17]. Such a great variety of spin ensembles exhibit different features, which require the application of adequate conversion protocols [18].…”
Section: Introductionmentioning
confidence: 98%
“…Indeed with capacitive coupling the external flux is likely to appear in Lindblads at all orders. As the Josephson coupling energy dictates the height of the potential well, and therefore the tunnelling probability, SQUIDs are (notoriously) sensitive to external magnetic fields and so it is reasonable to expect a strong external flux dependence 19,20,53 ; Eq. (30) shows such a dependence lies also within the dissipator.…”
Section: Discussionmentioning
confidence: 99%
“…Thus, we have obtained the system of equations ( 7), ( 8), (10), and (15), which describe the interaction of the classical tank circuit and the quantum circuits (qubits). More accurate (quantum-mechanical) analysis would start the description from the Hamiltonian of the whole system in terms of the operators for both the tank circuit and the qubits with averaging the equations afterwards, as in Ref.…”
Section: Effective Inductance Of Qubitsmentioning
confidence: 99%
“…More accurate (quantum-mechanical) analysis would start the description from the Hamiltonian of the whole system in terms of the operators for both the tank circuit and the qubits with averaging the equations afterwards, as in Ref. [14] (see also the discussion about similar systems in [15] and [16]). Since this analysis would yield the same equations for the observable values (V T = V T , etc.…”
Section: Effective Inductance Of Qubitsmentioning
confidence: 99%