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Physical Review Applied

Photon-assisted Phase Slips in Superconducting Nanowires

Biao Zhang, Labao Zhang, Qi Henry Chen, Yanqiu Guan, Guanglong He, Yue Fei, Xiaohan Wang, Jiayu Lyu, Jingrou Tan, Haochen Li, Yue Dai, Feiyan Li, Hao Wang, Shun-Li Yu, Xuecou Tu, Qingyuan Zhao, Xiaoqing Jia, Lin Kang, Jian Chen, Peiheng Wu

Published Jan 25, 2022• 8 citations
Publisher

Abstract

Phase slip is the intrinsic fluctuation of the order parameter and leads to the dissipation of superconductors. Here we propose a photon-assisted phase-slip model in superconducting nanowires to explain the phase-slip rate under photon irradiation. In this phenomenological model, incident photons destroy large quantities of Cooper pairs and reduce the free-energy barrier of phase slips, resulting in proliferation in the phase-slip events and leading to superconducting transition. The switching rates from the superconducting state of a niobium nitride nanowire under various photon irradiation (4.4 mW/m${}^{2}$--4.4 W/m${}^{2}$) and temperatures (2.3--3.7 K) are investigated through the distribution of switching currents in the experiment. The experimental data can be well fitted by our deduced expression of phase-slip rate after eliminating the influence of external noise. Our model develops the phase-slip theory under incident photons and is promising to reveal the intrinsic detection mechanism of the superconducting nanowire single-photon detector.

DOI
10.1103/physrevapplied.17.014032

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New Journal of Physics•Apr 17, 2012•10 citations
Phase slip is the intrinsic fluctuation of the order parameter and leads to the dissipation of superconductors. Here we propose a photon-assisted phase-slip model in superconducting nanowires to explain the phase-slip rate under photon irradiation. In this phenomenological model, incident photons destroy large quantities of Cooper pairs and reduce the free-energy barrier of phase slips, resulting in proliferation in the phase-slip events and leading to superconducting transition. The switching rates from the superconducting state of a niobium nitride nanowire under various photon irradiation (4.4 mW/m2{}^{2}2--4.4 W/m2{}^{2}2) and temperatures (2.3--3.7 K) are investigated through the distribution of switching currents in the experiment. The experimental data can be well fitted by our deduced expression of phase-slip rate after eliminating the influence of external noise. Our model develops the phase-slip theory under incident photons and is promising to reveal the intrinsic detection mechanism of the superconducting nanowire single-photon detector.
The intrinsic mechanism of absorbing photons in superconductors reveals the interaction between photons and Cooper pairs, which is of great significance for developing new superconducting nanowire single photon detectors (SNSPDs). Here we propose a photon-assisted phase slip model to describe the interaction mechanism between photons and superconductors. In this model, incident photons destroy large quantities of Cooper pairs and reduce the free-energy barrier of the phase slip, resulting in proliferation in the phase slip events and leading to superconducting transition. The switching rates from the superconducting state of a niobium nitride nanowire under various photon irradiation and temperatures are calculated through the distribution of switching currents in the experiment. The experimental data can be well fitted by our deduced expression of phase slip rate after eliminating the influence of external noise.
The superconducting nanowire single photon detector (SNSPD) is currently one of the best detectors with comprehensive performance in the mid-infrared wavelength, which has been widely used in quantum optics, LiDAR, and biological fluorescence detection. To develop new devices with excellent performance, the photon detection mechanism of SNSPD still needs further research. Here we find that the single quantum phase slip is the dominating mechanism leading to dark-count and photon-response events in SNSPD below the quantum temperature. We fabricate the nanowire with a length of 7.5 μm and a width of 25 nm using niobium nitride film with a thickness of 5 nm. The distribution of the superconducting switching current is measured as a function of temperature at temperatures ranging from 0.3 to 7 K. We observe single quantum phase slips in the nanowire at the temperature below 1.2 K, and we further investigate the quantitative relationship between the single quantum phase slip rate and the superconducting switching rate of the nanowire under the laser illumination. Experimental results show that the single quantum phase slip is a significant factor leading to photon response and dark counts in the nanowire below the quantum temperature. Our research helps to further reveal the photon detection mechanism of the SNSPD, laying a theoretical foundation for the development of high-performance SNSPD.
Abstract Quantum phase slip (QPS) is the fundamental manifestation of macroscopic quantum tunneling (MQT). We measure the distribution of the switching current I sw in quasi-one-dimensional superconducting NbN nanowires in the temperature range of 0.2–5.1 K. The escape temperature T esc extracted from the I sw distributions exhibits saturation at temperatures below 1.2 K, indicating a transition into the MQT state. We investigate the single-photon response of the nanowire and find that the QPS rate increases with incident light power in the MQT state. We propose the photon-enhanced quantum phase-slip model, which establishes a quantitative relationship between the quantum phase-slip rate and the incident photon energy, generalizing the phase-slip dynamics into the photon-induced non-equilibrium MQT regime.
Abstract Significant progress has been made in superconducting quantum circuits. However new quantum devices that have longer decoherence times at higher temperatures are urgently required for quantum technologies. Superconducting nanowires with quantum phase slips are promising candidates for use in novel quantum devices. Here, we demonstrate YBa 2 Cu 3 O 7-x nanowires with phase-slip dynamics and study their switching-current statistics at temperatures below 20 K. We apply theoretical models developed for Josephson junctions and show that our results provide strong evidence for energy-level quantization in the nanowires. The crossover temperature to the quantum regime of 12–13 K and the lifetime in the excited state exceeding 20 ms at 5.4 K are superior to those in conventional Josephson junctions. We also show how the absorption of a single photon changes the phase-slip and quantum state of a nanowire, which is important for the development of single-photon detectors with high operating temperature and superior temporal resolution.
We use an external magnetic field to probe the detection mechanism of a superconducting nanowire single-photon detector. We argue that the hot belt model (which assumes partial suppression of the superconducting order parameter $\mathrm{\ensuremath{\Delta}}$ across the whole width of the superconducting nanowire after absorption of the photon) does not explain observed weak-field dependence of the photon count rate (PCR) for photons with $\ensuremath{\lambda}=450\phantom{\rule{4.pt}{0ex}}\mathrm{nm}$ and noticeable decrease of PCR (with increasing the magnetic field) in a range of the currents for photons with wavelengths $\ensuremath{\lambda}=450--1200\phantom{\rule{4.pt}{0ex}}\mathrm{nm}$. Found experimental results for all studied wavelengths can be explained by the vortex hot spot model (which assumes partial suppression of $\mathrm{\ensuremath{\Delta}}$ in the area with size smaller than the width of the nanowire) if one takes into account nucleation and entrance of the vortices to the photon induced hot spot and their pinning by the hot spot with relatively large size and strongly suppressed $\mathrm{\ensuremath{\Delta}}$.
We study current–voltage ( V – I ) characteristics of short superconducting nanowires of length ∼100 nm exposed to microwave (MW) radiation of frequencies between 2 and 15 GHz. The radiation causes a decrease of the average switching current of the wire. This suppression of the switching current is modeled assuming that there is one-to-one correspondence between Little's phase slips, which are microscopic stochastic events induced by thermal and quantum fluctuations, and the experimentally observed switching events. We also find that at some critical power P * of the radiation a dissipative dynamic superconducting state occurs as an extra step on the V – I curve. It is identified as a phase slip center (PSC), which is essentially a deterministic and periodic in-time phase rotation. With the dependence of the switching currents and the standard deviations observed at the transitions: (i) from the supercurrent state to the normal state and (ii) from the supercurrent state to the PSC regime, we conclude that both of the two types of switching events are triggered by the same microscopic event, namely a single-phase slip. We show that the Skocpol–Beasley–Tinkham model is not applicable to our MW-driven PSCs, probably due to the tendency of the PSC to synchronize with the MW. Through the analysis of the switching current distributions at a sufficiently low temperature, we also present evidence that quantum phase slips play a role in switching events even under MWs.