Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Russian Physics Journal

Four-Wave Mixing in Metamaterials

Rena J. Kasumova, Г. А. Сафарова, Sh. Sh. Amirov, A. R. Akhmadova

Published Dec 26, 2018• 7 citations
Publisher
DOI
10.1007/s11182-018-1572-6

Related papers

Four-wave mixing, quantum control, and compensating losses in doped negative-index photonic metamaterials

A. K. Popov, S. A. Myslivets, Thomas F. George +1 more

The possibility of compensating absorption in negative-index metamaterials (NIMs) doped by resonant nonlinear-optical centers is shown. The role of quantum interference and the extraordinary properties of four-wave parametric amplification of counterpropagating electromagnetic waves in NIMs are discussed.

arXiv:0708.0201•Optics Letters•Oct 12, 2007•47 citations

Four-wave mixing with matter waves

Li Deng, E. W. Hagley, Jiping Wen +7 more

Nature•Mar 1, 1999•449 citations

Coherent Photonic Metamaterials

Nikolay I. Zheludev

•May 18, 2009•0 citations

Remote sensing with nonlinear negative-index metamaterials

A. K. Popov, S. A. Myslivets

A concept of the remotely actuated and interrogated four-wave mixing photonic sensor, which employs the negative-index photonic materials, is described. Unique electromagnetic properties of such a metamaterial enable enhancement of frequency conversion and redirection of the signals which carry important information for environmental probing. Four-wave mixing process allows for independent engineering of resonantly enhanced optical nonlinearities and negative refractive index.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jun 2, 2014•1 citation

Quantum model for rf-SQUID-based metamaterials enabling three-wave mixing and four-wave mixing traveling-wave parametric amplification

Angelo Greco, Luca Fasolo, Alice Meda +2 more

A quantum model for Josephson-based metamaterials working in the three-wave mixing (3WM) and four-wave mixing (4WM) regimes at the single-photon level is presented. The transmission line taken into account, namely Josephson traveling wave parametric amplifier (JTWPA), is a bipole composed of a chain of rf-SQUIDs, which can be biased by a DC current or a magnetic field to activate the 3WM or 4WM nonlinearities. The model exploits a Hamiltonian approach to analytically determine the time evolution of the system both in the Heisenberg and interaction pictures. The former returns the analytic form of the gain of the amplifier, while the latter allows recovering the probability distributions vs time of the photonic populations, for multimodal Fock and coherent input states. The dependence of the metamaterial's nonlinearities is presented in terms of circuit parameters in a lumped model framework while evaluating the effects of the experimental conditions on the model validity.

arXiv:2009.01002•Physical review. B./Physical review. B•Nov 24, 2021•18 citations

Coupling metamaterials with quantum states of light

Christophe Couteau

•Jun 1, 2016•0 citations
A quantum model for Josephson-based metamaterials working in the three-wave mixing (3WM) and four-wave mixing (4WM) regimes at the single-photon level is presented. The transmission line taken into account, namely Josephson traveling wave parametric amplifier (JTWPA), is a bipole composed of a chain of rf-SQUIDs, which can be biased by a DC current or a magnetic field to activate the 3WM or 4WM nonlinearities. The model exploits a Hamiltonian approach to analytically determine the time evolution of the system both in the Heisenberg and interaction pictures. The former returns the analytic form of the gain of the amplifier, while the latter allows recovering the probability distributions vs time of the photonic populations, for multimodal Fock and coherent input states. The dependence of the metamaterial's nonlinearities is presented in terms of circuit parameters in a lumped model framework while evaluating the effects of the experimental conditions on the model validity.