Theory of double Cooper-pair tunneling and light emission mediated by a resonator

Morley, W. T.; Di Marco, A.; Mantovani, M.; Stadler, P.; Belzig, W.; Rastelli, G.; Armour, Andrew

Abstract

Photon emission by tunneling electrons can be encouraged by locating a resonator close to the tunnel junction and applying an appropriate voltage-bias. However, studies of normal metals show that the resonator also affects how the charges flow, facilitating processes in which correlated tunneling of two charges produces one photon. We develop a theory to analyze this kind of behavior in Josephson junctions by deriving an effective Hamiltonian describing processes where two Cooper-pairs generate a single photon. We determine the conditions under which the transport is dominated by incoherent tunneling of two Cooper-pairs, whilst also uncovering a regime of coherent double Cooper-pair tunneling. We show that the system can also display an unusual form of photon-blockade and hence could serve as a single-photon source.

Citation

Morley, W. T., Di Marco, A., Mantovani, M., Stadler, P., Belzig, W., Rastelli, G., & Armour, A. (2019). Theory of double Cooper-pair tunneling and light emission mediated by a resonator. Physical Review B, 100(5), Article 054515. https://doi.org/10.1103/physrevb.100.054515

• Journal Article Type: Article
• Acceptance Date: Aug 7, 2019
• Online Publication Date: Aug 23, 2019
• Publication Date: Aug 1, 2019
• Deposit Date: Aug 9, 2019
• Publicly Available Date: Aug 12, 2019
• Journal: Physical Review B
• Print ISSN: 2469-9950
• Electronic ISSN: 2469-9969
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 100
• Issue: 5
• Article Number: 054515
• DOI: https://doi.org/10.1103/physrevb.100.054515
• Public URL: https://nottingham-repository.worktribe.com/output/2411007
• Publisher URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.054515
• Contract Date: Aug 9, 2019