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  • Open Access

Open-Cavity in Closed-Cycle Cryostat as a Quantum Optics Platform

Samarth Vadia, Johannes Scherzer, Holger Thierschmann, Clemens Schäfermeier, Claudio Dal Savio, Takashi Taniguchi, Kenji Watanabe, David Hunger, Khaled Karraï, and Alexander Högele
PRX Quantum 2, 040318 – Published 27 October 2021

Abstract

The introduction of an optical resonator can enable efficient and precise interaction between a photon and a solid-state emitter. It facilitates the study of strong light-matter interaction, polaritonic physics and presents a powerful interface for quantum communication and computing. A pivotal aspect in the progress of light-matter interaction with solid-state systems is the challenge of combining the requirements of cryogenic temperature and high mechanical stability against vibrations while maintaining sufficient degrees of freedom for in situ tunability. Here, we present a fiber-based open Fabry-Pérot cavity in a closed-cycle cryostat exhibiting ultrahigh mechanical stability while providing wide-range tunability in all three spatial directions. We characterize the setup and demonstrate the operation with the root-mean-square cavity-length fluctuation of less than 90 pm at temperature of 6.5 K and integration bandwidth of 100 kHz. Finally, we benchmark the cavity performance by demonstrating the strong-coupling formation of exciton polaritons in monolayer WSe2 with a cooperativity of 1.6. This set of results manifests the open cavity in a closed-cycle cryostat as a versatile and powerful platform for low-temperature cavity QED experiments.

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  • Received 9 March 2021
  • Revised 6 August 2021
  • Accepted 7 September 2021

DOI:https://doi.org/10.1103/PRXQuantum.2.040318

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

Samarth Vadia1,2,3,*, Johannes Scherzer1, Holger Thierschmann2, Clemens Schäfermeier2, Claudio Dal Savio2, Takashi Taniguchi4, Kenji Watanabe5, David Hunger6, Khaled Karraï2,†, and Alexander Högele1,3,‡

  • 1Fakultät für Physik, Munich Quantum Center, and Center for NanoScience (CeNS), Ludwig-Maximilians-Universität München, Geschwister-Scholl-Platz 1, München 80539, Germany
  • 2Attocube Systems AG, Eglfinger Weg 2, Haar bei München 85540, Germany
  • 3Munich Center for Quantum Science and Technology (MCQST), Schellingtr. 4, München 80799, Germany
  • 4International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
  • 5Research Center for Functional Materials, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan
  • 6Karlsruher Institut für Technologie, Physikalisches Institut, Institut für Quanten Materialien und Technologien, Wolfgang-Gaede-Str. 1, Karlsruhe 76131, Germany

  • *samarth.vadia@physik.uni-muenchen.de
  • khaled.karrai@attocube.com
  • alexander.hoegele@lmu.de

Popular Summary

The field of experimental quantum optics roots in our ability to control light, matter, and their interaction. For many solid-state systems, coherent light-matter coupling requires not only tight confinement of light in a cavity but also low-dephasing environments of reduced temperatures.

Our work presents an open Fabry-Pérot cavity platform as an optical resonator to control light-matter interactions in the cryogenic environment of a closed-cycle cryostat. The open cavity is formed by the concave end facet of an optical fiber mirror and a planar mirror which also serves as a support for solid-state samples. The combined system allows locating the region of interest on the solid-state sample as well as in situ tuning of the cavity degrees of freedom. Low temperatures are provided by a closed-cycle cryostat with much-reduced helium consumption but increased mechanical vibrations that challenge stable cavity operation. Our work demonstrates a solution to this technical challenge by a combination of passive and active vibration reduction strategies and techniques, achieving exceptional and robust mechanical stability and thus enabling the operation of high-finesse cavities in the cryogenic environment under closed-cycle conditions. Using this novel open cryocavity platform, we demonstrate the formation of exciton polaritons with two-dimensional semiconductors and cavity photons as a hallmark of strong light-matter coupling. Our results establish the concept of an open cavity in a closed-cycle cryostat as promising quantum hardware to advance the field of solid-state quantum optics and cavity quantum electrodynamics.

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Vol. 2, Iss. 4 — October - December 2021

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  • Figure 1
    Figure 1

    Concept of an open cavity in a closed-cycle cryostat. (a) An illustration of the cavity composed of a concave-profiled fiber mirror and a macroscopic mirror with monolayer WSe2. (b) Sketch of the tunable cavity assembly that mounts on top of a vibration isolation stage. The stack on the right holds the planar mirror and consists of xyz nanopositioner with a thermal link connecting the mirror to the cold plate to thermalize it to cryogenic temperature. The other stack on the left holds the fiber mirror and consists of a piezoelement, thermal link, and metal blocks to reach the same height as the right stack. The aspheric lens is mounted via another metal piece at the back with an additional nanopositioner to adjust the focal spot in z direction. (c) Schematic of the cavity assembly and vibration isolation stage built on top of the cold plate of the closed-cycle cryostat. Vibration isolation stage consists of the spring table placed on top of four springs (kS) along with magnetic damping (damping constant γ), which is all placed on the cold plate. The thermal link enables cavity operation at cryogenic temperature. The cavity setup is represented as two springs on the spring table: planar mirror stack (with spring constant kM) and fiber mirror stack (with spring constant kF). (d) Sketch of the experimental setup used for the stability characterization and strong-coupling operation. Assignment of abbreviations: λ/2-waveplate (HWP), beam splitter (BS), fiber beam splitter (FBS), photodiode (PD), aspheric lens (AL), piezoelement (PZ), mirror (MI), data-processing unit (DPU); lock electronics: high voltage amplifier (HV), proportional-integral (PI) control electronics, notch pass (NP).

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  • Figure 2
    Figure 2

    Mechanical vibration characteristics at room temperature. (a) Displacement of the cold plate of the cryostat. (b) Displacement of a xyz nanopositioner stack on the cold plate. (c) Cavity-length fluctuations of the open cavity. All time-trace data are shown for an integration bandwidth of 100 kHz. (d) Displacement rms as a function of increasing measurement bandwidth for the cold plate (square), nanopositioner stack (triangle) and open cavity (circle). (e) Fourier transform of cavity-length fluctuations (red) and noise floor (gray) with a frequency resolution of 1 Hz.

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  • Figure 3
    Figure 3

    Mechanical vibration characteristics at cryogenic temperature. The vibration displacement of the tunable cavity at 6.5 K (a) without lock and (b) with lock at a bandwidth of 100 kHz. (c) Occurrence of cavity-length fluctuations over 10 s. (d) Displacement rms of cavity fluctuations as a function of integration bandwidth without lock (square) and with lock (circle). (e) Fourier transform of cavity fluctuations with lock (blue) and noise floor (grey) with a frequency resolution of 1 Hz.

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  • Figure 4
    Figure 4

    Strong coupling of monolayer WSe2 in the closed-cycle cryogenic cavity. (a) Color-coded transmission through the coupled cavity-monolayer system as a function of piezovoltage tuning of the photonic resonance energy. The avoided crossing as a characteristic signature of strong coupling is observed on resonance with the exciton energy at 1.725 eV (shown as dashed line). (b) Energy of the exciton-polariton peak extracted from the data in (a) as a function of energy detuning. The solid line corresponds to the coupled oscillator model with a normal-mode splitting of Ω=5.5 meV.

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  • Figure 5
    Figure 5

    (a) Transmission signal as a function of cavity length. The solid black line is the data around a cavity resonance obtained by applying a voltage to the piezoactuator. The orange dashed line shows the corresponding fit to the Fabry-Pérot transmission function of Eq. (B1) with F=110. (b) Transmission signal measured with active stabilization at the maximum slope of the cavity resonance shown in (a) at a temperature of 6.5 K. The measurement bandwidth is 100 kHz.

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  • Figure 6
    Figure 6

    Mechanical vibration characteristics at cryogenic temperature for (a) the cold plate, (b) a stack of nanopositioners on the cold plate, and (c) the cavity-length fluctuations of the tunable open-cavity setup [same data as in Fig. 3].

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  • Figure 7
    Figure 7

    (a) Differential reflection (DR) spectrum of monolayer WSe2 recorded with cryogenic confocal spectroscopy 4 K. (b) Transmission spectrum of the cavity at 6.5 K red-detuned from the exciton resonance.

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  • Figure 8
    Figure 8

    (a) Representative transmission spectra at different exciton-cavity detunings around the resonance. (b) Linewidth of the upper (light gray) and lower (gray) polariton branches extracted from transmission spectra as a function of resonance detuning.

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