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Related Concept Videos

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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sp3d and sp3d 2 Hybridization
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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Universal Quantum Optimization with Cold Atoms in an Optical Cavity.

Meng Ye1,2, Ye Tian3,4,5, Jian Lin1

  • 1State Key Laboratory of Surface Physics, Key Laboratory of Micro and Nano Photonic Structures (MOE), and Department of Physics, Fudan University, Shanghai 200433, China.

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Cold atoms in optical cavities offer a universal platform for quantum optimization, encoding complex problems like number partition and 3-SAT. This approach promises a scalable and efficient quantum advantage for optimization tasks.

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Area of Science:

  • Quantum Information Science
  • Atomic Physics
  • Quantum Computing

Background:

  • Cold atoms in optical cavities are established for quantum simulations.
  • Recent advancements in quantum control have spurred new applications.
  • Optical cavities provide a robust platform for atom-based quantum systems.

Purpose of the Study:

  • To demonstrate the universality of atom-cavity systems for quantum optimization.
  • To develop a Raman coupling scheme for encoding optimization problems.
  • To explore the potential for practical quantum advantage using this platform.

Main Methods:

  • Utilized a single-mode optical cavity with cold atoms.
  • Developed a Raman coupling scheme to engineer quantum Hamiltonians.
  • Employed optical tweezers for programmable atom placement and connectivity.
  • Mapped number partition, 3-SAT, and vertex cover problems to the atom-cavity system.
  • Leveraged adiabatic quantum computing to find problem solutions.

Main Results:

  • Showcased the atom-cavity system's universality for quantum optimization with arbitrary connectivity.
  • Demonstrated efficient encoding of number partition, 3-SAT, and vertex cover problems with linear qubit overhead.
  • Extended the encoding to Quadratic Unconstrained Binary Optimization (QUBO) problems.
  • Achieved optimal scaling of atom number with problem complexity.

Conclusions:

  • The atom-cavity system is a powerful and versatile platform for quantum optimization.
  • The developed encoding protocol is efficient and scalable.
  • This research paves the way for realizing practical quantum advantage in optimization.