Photon transfer in a system of coupled superconducting microwave resonators

Abstract

A novel scheme is proposed for the study of energy transfer in a pair of coupled thin film superconducting microwave resonators. We show that the transfer could be achieved by modulating the kinetic inductance and that this has a number of advantages over earlier theoretical and experimental schemes, which use modulation of capacitance by vibrating nanobars or membranes. We show that the proposed scheme lends itself to the study of the classical analogues of Rabi and Landau-Zener-Stueckelberg oscillations and Landau-Zener transitions using experimentally achievable parameters. We consider a number of ways in which energy transfer (photon shuttle) between the two resonators could be achieved experimentally. Published by AIP Publishing.

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

“…(b-g) Several possible classical systems that have the eigenfrequencies as in (a). Namely, (b) two weakly coupled spring oscillators (Frimmer and Novotny, 2014), (c) two-mode nano-beam (Faust et al, 2012;Seitner et al, 2016), (d) optomechanical system with two cantilevers, one of which is coupled with an optical cavity (Fu et al, 2016(Fu et al, , 2018, (e) two coupled electrical resonators (Alzar et al, 2002;Muirhead et al, 2016), (f) two polarization modes of light propagating in the counter-clockwise (ccw) direction tuned by the electro-optic modulators, EOM1 and EOM2, with the tuning parameter being the electric field inside EOM1 (Beijersbergen et al, 1992;Spreeuw et al, 1990), and (g) two coupled curved waveguides in which an electromagnetic wave is spread between them (Liu et al, 2019;Longhi, 2009).…”

Quantum state transfer between nitrogen vacancy center ensembles in hybrid quantum system

“…Such a smaller mode excitation is useful for reducing the decoherence effect of the resonator modes. Moreover, the resonator coupling strength rate (λ) can be tuned in the regime of comparable and strong hopping by adjusting the size of the capacitor [25,33,34].…”

Simulating quantum dynamical phenomena using classical oscillators: Landau-Zener-Stückelberg-Majorana interferometry, latching modulation, and motional averaging

“…The system is excited when the characteristic qubit frequency is about a multiple of the driving frequency, Δ E /ℏ = kω . Several possible classical realizations have been demonstrated: ( b ) two weakly coupled spring oscillators 12 , ( c ) a two-mode nano-beam 14 , ( d ) optomechanical system with two cantilevers 13 , ( e ) two coupled electrical resonators 5 , 46 , ( f ) two coupled polarization modes in an optical ring resonator 47 . …”

“…Alternatively, the scheme may be modified so that to be driven via inductances, as in ref. 46 . In addition, Fig.…”

“…Instead of first directly solving these classical equations of motion for specific realizations (as e.g. in refs 5 , 10 , 16 , 46 ), we rather demonstrate the equivalence of these to the motion equation of a qubit, and then (in the next section) we will make use of the available solutions. We find this appropriate and pedagogical to first demonstrate the equivalence and then make use of the techniques and solutions available for qubit dynamics.…”