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arXiv:1101.0016 · Physical Review A

Approaching perfect microwave photodetection in circuit QED

Borja Peropadre, Guillermo Romero, Göran Johansson, Christopher M. Wilson, E. Solano, Juan José García‐Ripoll

Published Dec 14, 2011• 108 citations
arXivHTMLPDF

Abstract

In order to apply all ideas from quantum optics to the field of quantum circuits, one of the missing ingredients is a high-efficiency single-photon detector. In this work we propose a design for such a device which successfully reaches 100$%$ efficiency with only one absorber. Our photon detector consists of a three-level system (a phase qubit) coupled to a semi-infinite one-dimensional waveguide (a microwave transmission line) which performs highly efficient photodetection in a simplified manner as compared to previous proposals. Using the tools of quantum optics we extensively study the scattering properties of realistic wave packets against this device, thereby computing the efficiency of the detector. We find that the detector has many operating modes, can detect detuned photons, is robust against design imperfections, and can be made broadband by using more than one absorbing element in the design. Many of these ideas could be translated to other single-mode photonic or plasmonic waveguides interacting with three-level atoms or quantum dots.

DOI
10.1103/physreva.84.063834

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In order to apply all ideas from quantum optics to the field of quantum circuits, one of the missing ingredients is a high-efficiency single-photon detector. In this work we propose a design for such a device which successfully reaches 100% efficiency with only one absorber. Our photon detector consists of a three-level system (a phase qubit) coupled to a semi-infinite one-dimensional waveguide (a microwave transmission line) which performs highly efficient photodetection in a simplified manner as compared to previous proposals. Using the tools of quantum optics we extensively study the scattering properties of realistic wave packets against this device, thereby computing the efficiency of the detector. We find that the detector has many operating modes, can detect detuned photons, is robust against design imperfections, and can be made broadband by using more than one absorbing element in the design. Many of these ideas could be translated to other single-mode photonic or plasmonic waveguides interacting with three-level atoms or quantum dots.
We develop the theory of a metamaterial composed of an array of discrete quantum absorbers inside a one-dimensional waveguide that implements a high-efficiency microwave photon detector. A basic design consists of a few metastable superconducting nanocircuits spread inside and coupled to a one-dimensional waveguide in a circuit QED setup. The arrival of a propagating quantum microwave field induces an irreversible change in the population of the internal levels of the absorbers, due to a selective absorption of photon excitations. This design is studied using a formal but simple quantum field theory, which allows us to evaluate the single-photon absorption efficiency for one and many absorber setups. As an example, we consider a particular design that combines a coplanar coaxial waveguide with superconducting phase qubits, a natural but not exclusive playground for experimental implementations. This work and a possible experimental realization may stimulate the possible arrival of ‘all-optical’ quantum information processing with propagating quantum microwaves, where a microwave photodetector could play a key role.
Photon detector is one of the key units in the integrated optical devices. Due to the weak atom-photon interaction, the detection efficiency of a single photon by a bare atom (as a photon detector aside the waveguide) is relatively low (the most reachable value is shown as 5050%50, which has being approached experimentally). In order to overcome such a limit, a pair of spatially separated two-level atoms (the photon lenses) with adjustable inflection and transmission coefficients of the photon are introduced to generate an atomic cavity, in which the detected probability of the waveguide photon by the single detector can be significantly enhanced (even reach to 100100%100 under certain conditions). The proposal is demonstrated specifically by a circuit QED system for highly effective detection of a single microwave photon.
Single-photon detection plays important roles in implementing desired quantum information processing. In this work, we propose a single itinerant photon detector based on absorption by two interacting atoms coupling to a waveguide, which can work in the microwave regime. Both the cases of giant and small atoms are considered. Each atom is modeled as a three-level system, with only one transition coupling to the waveguide. Our analysis reveals that, for a single atom coupled to the waveguide, the maximum detection probability is intrinsically limited to 0.5. This limit, however, can be lifted under perfectly chiral coupling, where unit detection probability becomes achievable. For the non-chiral case, we show that when a giant molecule consisting of two giant atoms with direct interaction couples to the waveguide, the single-photon detection probability can reach the ideal value of 1. Furthermore, we extend the model to the regime of small atoms and show that perfect single-photon detection remains attainable by appropriately tuning the direct coupling strength and the interatomic separation. These results provide a feasible route toward high-efficiency microwave single-photon detection based on engineered atom-waveguide interactions.
Superconducting quantum bits (qubits) are a leading candidate towards realizing a processor that is able to outperform existing classical computers at select tasks. One particular qubit architecture, the transmon, boasts long coherence times compared to required gate lengths and flexibility with respect to circuit couplings as these 'artificial atoms' are photolithographically defined. These attributes allow qubits to be leveraged for other tasks as well — such as efficiently detecting itinerant microwave photons. Such a device may prove useful for remote entanglement protocols, quantum optics experiments in the microwave regime, and as a detector for low-mass dark matter.Through a blend of circuit quantum electrodynamics (cQED) and waveguide quantum electrodynamics (wQED) theories, high detector performance was achieved even when the photon arrival time was not known. Utilizing an ensemble (N = 4) of identical transmon absorbers, photon mediated interactions along a common waveguide enable absorbed itinerant photons to be trapped for longer than the inverse of the bandwidth of an individual qubit. This extended trapping time allows for sufficient integration of the dispersively shifted readout resonator to resolve deviations from vacuum with high fidelity.
Microwave single-photon detection is one of the critical tasks for the implementation of the desired microwave quantum information processing. Given the detection efficiency of the demonstrated microwave single-photon detector is still very limited, here, we propose a nonreciprocity detector array to implement high-efficiency detection of a single itinerant microwave photon, transported along a one-dimensional waveguide. We show that different from the reciprocity array with more than 20 atomic detectors [Romero et al., Phys. Rev. Lett. 102, 173602 (2009)] for ideal detection, the nonreciprocity array with just three atomic detectors is sufficient to achieve deterministic detection (i.e., the achievable probability approaches 100100%100) of a single itinerant microwave photon. Specifically, we design an array with a few current-biased Josephson junctions individually coupled to a common microwave transmission line and then discuss its feasibility.