@article{13492,
  author = {Eric Song and Diego Barberena and Dylan Young and Edwin Chaparro and Anjun Chu and Sanaa Agarwal and Zhijing Niu and Jeremy Young and Ana Maria Rey and James Thompson},
  title = {A dissipation-induced superradiant transition in a strontium cavity-QED system},
  abstract = {<blockquote class="abstract mathjax" style="-webkit-text-stroke-width:0px;background-color:white;border-left-width:0px;color:rgb(0, 0, 0);font-family:&quot;Lucida Grande&quot;, Helvetica, Arial, sans-serif;font-size:1.05em;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.55;margin-block:14.4px 21.6px;margin-bottom:21.6px;margin-inline:40px;orphans:2;padding:0px;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;"><p>In cavity quantum electrodynamics (QED), emitters and a resonator are coupled together to enable precise studies of quantum light-matter interactions. Over the past few decades, this has led to a variety of quantum technologies such as more precise inertial sensors, clocks, memories, controllable qubits, and quantum simulators. Furthermore, the intrinsically dissipative nature of cavity QED platforms makes them a natural testbed for exploring driven-dissipative phenomena in open quantum systems as well as equilibrium and non-equilibrium phase transitions in quantum optics. One such model, the so-called cooperative resonance fluorescence (CRF) model, concerns the behavior of coherently driven emitters in the presence of collective dissipation (superradiance). Despite tremendous interest, this model has yet to be realized in a clean experimental system. Here we provide an observation of the continuous superradiant phase transition predicted in the CRF model using an ensemble of ultracold <span class="MathJax" style="border-width:0px;direction:ltr;display:inline;float:none;font-size-adjust:none;font-size:13.608px;font-style:normal;font-weight:normal;letter-spacing:normal;line-height:normal;margin:0px;max-height:none;max-width:none;min-height:0px;min-width:0px;overflow-wrap:normal;padding:0px;text-align:left;text-indent:0px;text-transform:none;white-space:nowrap;word-spacing:normal;" id="MathJax-Element-1-Frame" tabindex="0"><nobr style="border-width:0px;line-height:normal;margin:0px;max-height:none;max-width:none;min-height:0px;min-width:0px;padding:0px;text-decoration:none;transition:none;vertical-align:0px;white-space:nowrap !important;"><span class="math" style="border-width:0px;display:inline-block;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;width:0.959em;" id="MathJax-Span-1"><span style="border-width:0px;display:inline-block;font-size:16.7378px;height:0px;line-height:normal;margin:0px;padding:0px;position:relative;text-decoration:none;transition:none;vertical-align:0px;width:0.78em;"><span style="border-width:0px;clip:rect(0.003em, 1000.78em, 1.199em, -999.997em);display:inline;left:0em;line-height:normal;margin:0px;padding:0px;position:absolute;text-decoration:none;top:-1.013em;transition:none;vertical-align:0px;"><span class="mrow" style="border-width:0px;display:inline;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;" id="MathJax-Span-2"><span class="msubsup" style="border-width:0px;display:inline;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;" id="MathJax-Span-3"><span style="border-width:0px;display:inline-block;height:0px;line-height:normal;margin:0px;padding:0px;position:relative;text-decoration:none;transition:none;vertical-align:0px;width:0.78em;"><span style="border-width:0px;clip:rect(3.829em, 1000em, 4.188em, -999.997em);display:inline;left:0em;line-height:normal;margin:0px;padding:0px;position:absolute;text-decoration:none;top:-4.002em;transition:none;vertical-align:0px;"><span class="mi" style="border-width:0px;display:inline;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;" id="MathJax-Span-4"></span><span style="border-width:0px;display:inline-block;height:4.008em;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;width:0px;"></span></span><span style="border-width:0px;display:inline;left:0em;line-height:normal;margin:0px;padding:0px;position:absolute;text-decoration:none;top:-4.361em;transition:none;vertical-align:0px;"><span class="texatom" style="border-width:0px;display:inline;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;" id="MathJax-Span-5"><span class="mrow" style="border-width:0px;display:inline;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;" id="MathJax-Span-6"><span class="mn" style="border-width:0px;display:inline;font-family:STIXGeneral-Regular;font-size:11.8337px;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;" id="MathJax-Span-7">88</span></span></span><span style="border-width:0px;display:inline-block;height:4.008em;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;width:0px;"></span></span></span></span></span><span style="border-width:0px;display:inline-block;height:1.019em;line-height:normal;margin:0px;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:0px;width:0px;"></span></span></span><span style="border-bottom-style:initial;border-color:initial;border-image:initial;border-left-style:solid;border-right-style:initial;border-top-style:initial;border-width:0px;display:inline-block;height:1.18em;line-height:normal;margin:0px;overflow:hidden;padding:0px;position:static;text-decoration:none;transition:none;vertical-align:-0.07em;width:0px;"></span></span></nobr></span>Sr atoms coupled to a driven high-finesse optical cavity on a long-lived optical transition. Below a critical drive, atoms quickly reach a steady state determined by the self-balancing of the drive and the collective dissipation. The steady state possesses a macroscopic dipole moment and corresponds to a superradiant phase. Above a critical drive strength, the atoms undergo persistent Rabi-like oscillations until other decoherence processes kick in. In fact, our platform also allows us to witness the change of this phase transition from second to first order induced by single-particle spontaneous emission, which pushes the system towards a different steady state. Our observations are a first step towards finer control of driven-dissipative systems, which have been predicted to generate quantum states that can be harnessed for quantum information processing and in particular quantum sensing.</p></blockquote>},
  year = {2024},
  journal = {Submitted},
  url = {https://arxiv.org/abs/2408.11086},
}