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arXiv:1604.05089 · Physical Review Applied

Dispersive Thermometry with a Josephson Junction Coupled to a Resonator

O.-P. Saira, M. Zgirski, Klaara Viisanen, Dmitry S. Golubev, Jukka P Pekola

Published Aug 10, 2016• 66 citations
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Abstract

For very small, very cold objects, merely knowing how cold they actually are is a challenge. The authors present a ``Josephson bolometer'' that detects weak electrical fluctuations and indicates their strength directly via frequency shift in a microwave resonator, without relying on power-spectrum analysis by external electronics. This combined experimental and theoretical study advances nanoscale thermometry and the detection of weak electrical signals, offering prospects not just for high-resolution calorimetry, but also for manipulating nonclassical microwave fields, and microwave amplification.

DOI
10.1103/physrevapplied.6.024005

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For very small, very cold objects, merely knowing how cold they actually are is a challenge. The authors present a ``Josephson bolometer'' that detects weak electrical fluctuations and indicates their strength directly via frequency shift in a microwave resonator, without relying on power-spectrum analysis by external electronics. This combined experimental and theoretical study advances nanoscale thermometry and the detection of weak electrical signals, offering prospects not just for high-resolution calorimetry, but also for manipulating nonclassical microwave fields, and microwave amplification.
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One of the most promising approaches towards large-scale quantum computation uses devices based on many Josephson junctions. Yet, even today, open questions regarding the single junction remain unsolved, such as the detailed understanding of the quantum phase transitions, the coupling of the Josephson junction to the environment or how to improve the coherence of a superconducting qubit. Here we design and build an engineered on-chip reservoir connected to a Josephson junction that acts as an efficient bolometer for detecting the Josephson radiation under non-equilibrium, that is, biased conditions. The bolometer converts the a.c. Josephson current at microwave frequencies up to about 100 GHz into a temperature rise measured by d.c. thermometry. A circuit model based on realistic parameter values captures both the current-voltage characteristics and the measured power quantitatively. The present experiment demonstrates an efficient, wide-band, thermal detection scheme of microwave photons and provides a sensitive detector of Josephson dynamics beyond the standard conductance measurements.
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Propagating microwave photons have gained great interest due to their potential being used in the applications of the quantum technology, such as communication and sensing. The use of propagating microwave photons as information carriers requires methodology that is able to characterize the incoming photon signals. Since the signal could consist of only a few photons, the signal detection is truly a challenging task. Amplifying a weak microwave signal to room temperature would cause excessive noise and cover the signal. Previously, amplification-free signals have been measured with qubit-based photon detection, which relies on excitation of the qubit. This method is limited by a narrow bandwidth, since the qubit can absorb only a few discrete energies. However, a bolometer utilizing resistive absorption of the photons offers a broad bandwidth and enables the measurement without amplification. This thesis examines the use of bolometer as a phase and amplitude sensitive detector for propagating microwave signals. The phase sensitivity of the bolometer is enabled by homodyne detection, where the measurement signal is combined with a strong local oscillator signal. The combining of these signals is implemented with a beam splitter. Amplitude sensitivity is studied by repeating the measurement with multiple signal powers, and phase sensitivity is studied using a phase modulated measurement signal with different modulation amplitudes. The data is extracted from the bolometer by assuming a linear dependency between the average resonance frequency and the average photon number. Similarly, a linear dependency is assumed between the variances. This thesis demonstrates that the bolometer is able to detect changes in the measurement signal power and phase by measuring the average photon number and variance. The average photon number and variance oscillate, meaning that the phase modulation is detected. The oscillation amplitudes increase as a function of power indicating the amplitude sensitivity. A strong local oscillator signal allows the detection of weak signals without amplification, and thus the measurement can be conducted with minimal added noise. These results together show, that the bolometer is a versatile microwave detector and a promising candidate for quantum technology applications in the microwave region.
By coupling a superconducting weak link to a microwave resonator, recent experiments probed the spectrum and achieved the quantum manipulation of Andreev states in various systems. However, the quantitative understanding of the response of the resonator to changes in the occupancy of the Andreev levels, which are of fermionic nature, is missing. Here, using Bogoliubov-de Gennes formalism to describe the weak link and a general formulation of the coupling to the resonator, we calculate the shift of the resonator frequency as a function of the levels occupancy and describe how transitions are induced by phase or electric field microwave drives. We apply this formalism to analyze recent experimental results obtained using circuit-QED techniques on superconducting atomic contacts and semiconducting nanowire Josephson junctions.
By coupling a superconducting weak link to a microwave resonator, recent experiments probed the spectrum and achieved the quantum manipulation of Andreev states in various systems.However, the quantitative understanding of the response of the resonator to changes in the occupancy of the Andreev levels, which are of fermionic nature, is missing.Here, using Bogoliubov-de Gennes formalism to describe the weak link and a general formulation of the coupling to the resonator, we calculate the shift of the resonator frequency as a function of the levels occupancy and describe how transitions are induced by phase or electric field microwave drives.We apply this formalism to analyze recent experimental results obtained using circuit-QED techniques on superconducting atomic contacts and semiconducting nanowire Josephson junctions.