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The Quantum-Mechanical Model of an Atom02:45

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Probing quantum floating phases in Rydberg atom arrays.

Jin Zhang1,2,3, Sergio H Cantú4, Fangli Liu5

  • 1Department of Physics and Astronomy, University of Iowa, Iowa City, IA, USA. jzhang91@cqu.edu.cn.

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Researchers experimentally observed the quantum floating phase in neutral-atom qubits. This incommensurate phase emerges from domain wall proliferation in ordered phases, exhibiting quasi-long-range order.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Atomic physics

Background:

  • The floating phase is a theoretically predicted incommensurate phase.
  • It is hypothesized to exist between crystalline ordered and disordered phases.
  • Understanding such phases is key to quantum many-body systems.

Purpose of the Study:

  • To experimentally investigate quantum phases in neutral-atom ladder arrays.
  • To observe the emergence of the quantum floating phase.
  • To analyze the characteristics of this incommensurate phase.

Main Methods:

  • Utilized neutral-atom qubits in ladder arrays (up to 92 qubits).
  • Performed site-resolved measurements of Rydberg state densities.
  • Analyzed Fourier spectra of density-density correlations.

Main Results:

  • Experimentally observed the quantum floating phase.
  • Identified domain wall proliferation leading to the floating phase.
  • Detected signatures of incommensurate wave order via Fourier analysis.
  • Observed wave vectors approaching a continuum with increasing system size.

Conclusions:

  • The study provides experimental evidence for the quantum floating phase.
  • Demonstrated the transition from commensurate order to incommensurate quasi-long-range order.
  • Motivates further research into commensurate-incommensurate transitions and non-equilibrium physics.