Josephson photonics with a two-mode superconducting circuit

Abstract

We analyze the quantum dynamics of two electromagnetic oscillators coupled in series to a voltage biased Josephson junction. When the applied voltage leads to a Josephson frequency across the junction which matches the sum of the two mode frequencies, tunneling Cooper pairs excite photons in both modes simultaneously leading to far-from-equilibrium states. These states display highly non-classical features including strong anti-bunching, violation of Cauchy-Schwartz inequalities, and number squeezing. The regimes of low and high photon occupancies allow for analytical results which are supported by a full numerical treatment. The impact of asymmetries between the two modes is explored, revealing a pronounced enhancement of number squeezing when the modes are damped at different rates.

12 pages, 8 figures, submitted to PRB

References in corpus (10)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Single artificial-atom lasing
• Generating Entangled Microwave Radiation Over Two Transmission Lines
• Lasing and transport in a quantum dot-resonator circuit
• Dynamical Coulomb Blockade of Shot Noise
• Photon-assisted tunneling with non-classical light
• Introduction of a DC Bias into a High-Q Superconducting Microwave Cavity
• Emission of Microwave Photon Pairs by a Tunnel Junction
• Current noise of a superconducting single electron transistor coupled to a resonator
• Dynamical instabilities of a resonator driven by a superconducting single-electron transistor

Cited by in corpus (5)

• Photon cross-correlations emitted by a Josephson junction in two microwave cavities
• Nonlinear damping and dephasing in nanomechanical systems
• Generating entangled quantum microwaves in a Josephson-photonics device
• Statistics of radiation due to non-degenerate Josephson parametric down conversion
• A self-aligned nano-fabrication process for vertical NbN-MgO-NbN Josephson junctions