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Science1 publisher2 min readPublished

Seoul theorists place every atom-light coupling regime on one graph-derived scale

Physicists at two Seoul universities map one atom's interaction with light as a semi-infinite graph and place weak through deep-strong coupling on one scale. The work is theory, and its use for devices depends on whether the index tracks something a lab can measure.

The Scientist · Science desk

Illustration accompanying Seoul theorists place every atom-light coupling regime on one graph-derived scale

What happened

  • Standard approximations to the quantum Rabi model stop being reliable once atom-light coupling is comparable to or greater than the light's own frequency, the ultrastrong and deep-strong regimes.
  • On the graph, each node pairs a photon count with an atomic state, line thickness encodes how likely a transition is, and line color encodes the phase of the light wave.
  • The single number comes from a magnetic Laplacian and accounts for both the strength of each connection and the phases carried by the links.
  • Sunkyu Yu and Namkyoo Park of Seoul National University and Xianji Piao of the University of Seoul published the work in Science Advances on September 25.

Compiled by The ScientistSomething wrong?How this is made

Why it matters

  • capability Systems in different coupling regimes can now be compared on a common index, where before each regime came with its own approximation.
  • constraint Until the index is shown to predict spectra or dynamics, the regime-specific approximations remain the tools for calculating what a strongly coupled device will actually do.
  • precedent The magnetic Laplacian now has a worked application in basic quantum optics, and other light-matter models are natural candidates for the same test.

Two kinds of node make up the graph, joined by an unlimited number of long-range links [7]. The physical system is still one atom and light. Yet the network of quantum states it can reach has connectivity that grows without bound, the researchers found [7]. The finding concerns the structure of a familiar model, the quantum Rabi model, which the phys.org account calls the most fundamental model of atom-light interactions [3].

Until now the field has handled that model regime by regime. Researchers used different approximation methods for different coupling strengths, and no single conventional theory described the whole range [5]. In my view the unification claim holds as described, as a way of organising the problem: the graph and its index apply to every regime without switching theories [9].

Classifying a regime and solving the model inside it are separate tasks. The results described in the account address the first, distinguishing the regimes from one another along the scale [9]. The thing this doesn't tell you is whether a theorist who knows where a system sits on that scale can then predict its energy levels, or how its state evolves in time, without going back to the regime-specific approximations.

Much rides on this one interaction. Repeated absorption and emission of photons underpin quantum information processing, quantum sensing, lasers and nonlinear optics, according to the account [12]. It says the findings could open new possibilities for quantum computing and photonic neural networks [10]. The National Research Foundation of Korea, which announced the result, called it a "magnetic graph" theory that quantifies atom-light interactions with a single measure [11].

What to watch

  • A comparison of the magnetic Laplacian index with exact numerical solutions of the quantum Rabi model, or with spectra measured on ultrastrong-coupling hardware.
  • Whether the graph framework extends past a single atom to the many-atom models used in quantum hardware.
  • A concrete design for the photonic neural networks the account names as a possible application.
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