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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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The energy stored by a structure and location of matter in space is called potential energy. For instance, raising a kettlebell changes its spatial location and increases its potential energy. Similarly, a stretched rubber band contains potential energy which, under certain conditions, can be converted into other forms of energy, such as kinetic energy.
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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Two-dimensional optical quasicrystal potentials for ultracold atom experiments.

Theodore A Corcovilos, Jahnavee Mittal

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    |May 3, 2019
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    Summary
    This summary is machine-generated.

    We developed a compact optical setup to create quasicrystal potentials for ultracold atom quantum simulations. This system allows for studying unique material properties and generating phason excitations.

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    Area of Science:

    • Condensed Matter Physics
    • Quantum Simulation
    • Atomic Physics

    Background:

    • Quasicrystals exhibit nonperiodic structures with long-range order, presenting unique material properties.
    • Their low-temperature behavior is complex and challenging to describe.
    • Ultracold atom quantum simulation offers a powerful platform for studying such exotic states of matter.

    Purpose of the Study:

    • To present a novel, compact optical setup for generating quasicrystal optical potentials.
    • To enable quantum simulation experiments with five-fold symmetry using ultracold atoms.
    • To investigate the generation of phason excitations and quantized transport in quasicrystals.

    Main Methods:

    • Utilizing the interference of nearly co-propagating laser beams to create optical potentials.
    • Employing numerical simulations to verify the optical design.
    • Demonstrating a functional prototype system for quasicrystal potential generation.

    Main Results:

    • Successful design and verification of a compact optical setup for quasicrystal potentials.
    • Demonstration of a prototype system capable of creating five-fold symmetric potentials.
    • Theoretical discussion on generating phason excitations and quantized transport via phase modulation.

    Conclusions:

    • The developed optical setup provides a viable tool for ultracold atom quantum simulations of quasicrystals.
    • This system facilitates the exploration of novel quantum phenomena in nonperiodic structures.
    • Future work can leverage phase modulation to study dynamic processes within the quasicrystal potential.