Breakdown of the cross-Kerr scheme for Photon Counting

Abstract

We show, in the context of single photon detection, that an atomic three-level model for a transmon in a transmission line does not support the predictions of the nonlinear polarisability model known as the cross-Kerr effect. We show that the induced displacement of a probe in the presence or absence of a single photon in the signal field, cannot be resolved above the quantum noise in the probe. This strongly suggests that cross-Kerr media are not suitable for photon counting or related single photon applications. Our results are presented in the context of a transmon in a one dimensional microwave waveguide, but the conclusions also apply to optical systems.

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Cited by in corpus (28)

• Microwave photonics with superconducting quantum circuits
• Strongly interacting photons in one-dimensional continuum
• Giant Cross Kerr Effect for Propagating Microwaves Induced by an Artificial Atom
• Waveguide-QED-Based Photonic Quantum Computation
• Deterministic quantum nonlinear optics with single atoms and virtual photons
• Detection of zeptojoule microwave pulses using electrothermal feedback in proximity-induced Josephson junctions
• Quantum nondemolition detection of a propagating microwave photon
• Large collective Lamb shift of two distant superconducting artificial atoms
• Single-photon Resolved Cross-Kerr Interaction for Autonomous Stabilization of Photon-number States
• A Unidirectional On-Chip Photonic Interface for Superconducting Circuits
• Cross-Kerr nonlinearity for phonon counting
• Cavity-free nondestructive detection of a single optical photon
• Itinerant microwave photon detector
• Characterizing decoherence rates of a superconducting qubit by direct microwave scattering
• Non-absorbing high-efficiency counter for itinerant microwave photons
• Two photons co- and counter-propagating through $N$ cross-Kerr sites
• Quantum metamaterial for nondestructive microwave photon counting
• Photon-photon quantum phase gate in a photonic molecule with ${\chi }^{(2)}$ nonlinearity
• High-Effciency Cross-Phase Modulation in a Gas-Filled Waveguide
• Detecting itinerant single microwave photons
• A single photon transistor based on superconducting systems
• Amplified and tunable transverse and longitudinal spin-photon coupling in hybrid circuit-QED
• Witnessing non-objectivity in the framework of strong quantum Darwinism
• Nondestructive photon counting in waveguide QED
• Feasibility of single-photon cross-phase modulation using metastable xenon in a high finesse cavity
• Parity measurement of remote qubits using dispersive coupling and photodetection
• Sequential nonabsorbing microwave single-photon detector
• Circuit QED: Cross-Kerr-effect induced by a superconducting qutrit without classical pulses