Observation of quantum many-body effects due to zero point fluctuations in superconducting circuits

  1. Sebastien Leger,
  2. Javier Puertas Martinez,
  3. Karthik Bharadwaj,
  4. Remy Dassonneville,
  5. Jovian Delaforce,
  6. Farshad Foroughi,
  7. Vladimir Milchakov,
  8. Luca Planat,
  9. Olivier Buisson,
  10. Cecile Naud,
  11. Wiebke Hasch-Guichard,
  12. Serge Florens,
  13. Izak Snyman,
  14. and Nicolas Roch
Electromagnetic fields possess zero point fluctuations (ZPF) which lead to observable effects such as the Lamb shift and the Casimir effect. In the traditional quantum optics domain,
these corrections remain perturbative due to the smallness of the fine structure constant. To provide a direct observation of non-perturbative effects driven by ZPF in an open quantum system we wire a highly non-linear Josephson junction to a high impedance transmission line, allowing large phase fluctuations across the junction. Consequently, the resonance of the former acquires a relative frequency shift that is orders of magnitude larger than for natural atoms. Detailed modelling confirms that this renormalization is non-linear and quantum. Remarkably, the junction transfers its non-linearity to about 30 environmental modes, a striking back-action effect that transcends the standard Caldeira-Leggett paradigm. This work opens many exciting prospects for longstanding quests such as the tailoring of many-body Hamiltonians in the strongly non-linear regime, the observation of Bloch oscillations, or the development of high-impedance qubits.

Non-degenerate parametric amplifiers based on dispersion engineered Josephson junction arrays

  1. Patrick Winkel,
  2. Ivan Takmakov,
  3. Dennis Rieger,
  4. Luca Planat,
  5. Wiebke Hasch-Guichard,
  6. Lukas Grünhaupt,
  7. Nataliya Maleeva,
  8. Farshad Foroughi,
  9. Fabio Henriques,
  10. Kiril Borisov,
  11. Julian Ferrero,
  12. Alexey V. Ustinov,
  13. Wolfgang Wernsdorfer,
  14. Nicolas Roch,
  15. and Ioan M. Pop
Determining the state of a qubit on a timescale much shorter than its relaxation time is an essential requirement for quantum information processing. With the aid of a new type of non-degenerate
parametric amplifier, we demonstrate the continuous detection of quantum jumps of a transmon qubit with 90% fidelity in state discrimination. Entirely fabricated with standard two-step optical lithography techniques, this type of parametric amplifier consists of a dispersion engineered Josephson junction (JJ) array. By using long arrays, containing 103 JJs, we can obtain amplification at multiple eigenmodes with frequencies below 10 GHz, which is the typical range for qubit readout. Moreover, by introducing a moderate flux tunability of each mode, employing superconducting quantum interference device (SQUID) junctions, a single amplifier device could potentially cover the entire frequency band between 1 and 10 GHz.

Fabrication and characterization of aluminum SQUID transmission lines

  1. Luca Planat,
  2. Ekaterina Al-Tavil,
  3. Javier Puertas Martinez,
  4. Remy Dassonneville,
  5. Farshad Foroughi,
  6. Sebastien Leger,
  7. Karthik Bharadwaj,
  8. Jovian Delaforce,
  9. Vladimir Milchakov,
  10. Cecile Naud,
  11. Olivier Buisson,
  12. Wiebke Hasch-Guichard,
  13. and Nicolas Roch
We report on the fabrication and characterization of 50 Ohms, flux-tunable, low-loss, SQUID-based transmission lines. The fabrication process relies on the deposition of a thin dielectric
layer (few tens of nanometers) via Atomic Layer Deposition (ALD) on top of a SQUID array, the whole structure is then covered by a non-superconducting metallic top ground plane. We present experimental results from five different samples. We systematically characterize their microscopic parameters by measuring the propagating phase in these structures. We also investigate losses and discriminate conductor from dielectric losses. This fabrication method offers several advantages. First, the SQUID array fabrication does not rely on a Niobium tri-layer process but on a simpler double angle evaporation technique. Second, ALD provides high quality dielectric leading to low-loss devices. Further, the SQUID array fabrication is based on a standard, all-aluminum process, allowing direct integration with superconducting qubits. Moreover, our devices are in-situ flux tunable, allowing mitigation of incertitude inherent to any fabrication process. Finally, the unit cell being a single SQUID (no extra ground capacitance is needed), it is straightforward to modulate the size of the unit cell periodically, allowing band-engineering. This fabrication process can be directly applied to traveling wave parametric amplifiers.

A photonic crystal Josephson traveling wave parametric amplifier

  1. Luca Planat,
  2. Arpit Ranadive,
  3. Remy Dassonneville,
  4. Javier Puertas Martinez,
  5. Sebastien Leger,
  6. Cecile Naud,
  7. Olivier Buisson,
  8. Wiebke Hasch-Guichard,
  9. Denis M. Basko,
  10. and Nicolas Roch
An amplifier combining noise performances as close as possible to the quantum limit with large bandwidth and high saturation power is highly desirable for many solid state quantum technologies
such as high fidelity qubit readout or high sensitivity electron spin resonance for example. Here we introduce a new Traveling Wave Parametric Amplifier based on Superconducting QUantum Interference Devices. It displays a 3 GHz bandwidth, a -102 dBm 1-dB compression point and added noise near the quantum limit. Compared to previous state-of-the-art, it is an order of magnitude more compact, its characteristic impedance is in-situ tunable and its fabrication process requires only two lithography steps. The key is the engineering of a gap in the dispersion relation of the transmission line. This is obtained using a periodic modulation of the SQUID size, similarly to what is done with photonic crystals. Moreover, we provide a new theoretical treatment to describe the non-trivial interplay between non-linearity and such periodicity. Our approach provides a path to co-integration with other quantum devices such as qubits given the low footprint and easy fabrication of our amplifier.

Understanding the saturation power of Josephson Parametric Amplifiers made from SQUIDs arrays

  1. Luca Planat,
  2. Remy Dassonneville,
  3. Javier Puertas Martinez,
  4. Farshad Foroughi,
  5. Olivier Buisson,
  6. Wiebke Hasch-Guichard,
  7. Cecile Naud,
  8. R. Vijay,
  9. Kater Murch,
  10. and Nicolas Roch
We report on the implementation and detailed modelling of a Josephson Parametric Amplifier (JPA) made from an array of eighty Superconducting QUantum Interference Devices (SQUIDs),
forming a non-linear quarter-wave resonator. This device was fabricated using a very simple single step fabrication process. It shows a large bandwidth (45 MHz), an operating frequency tunable between 5.9 GHz and 6.8 GHz and a large input saturation power (-117 dBm) when biased to obtain 20 dB of gain. Despite the length of the SQUID array being comparable to the wavelength, we present a model based on an effective non-linear LC series resonator that quantitatively describes these figures of merit without fitting parameters. Our work illustrates the advantage of using array-based JPA since a single-SQUID device showing the same bandwidth and resonant frequency would display a saturation power 15 dB lower.