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Related Concept Videos

Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Atomic Nuclei: Magnetic Resonance01:05

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The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...
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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
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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...
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Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as...
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Electronic Structure of Atoms

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An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum...
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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Electromagnetically induced self-imaging in four-level atomic system.

Feng Wang, Chunfang Wang, Jing Cheng

    Applied Optics
    |March 26, 2014
    PubMed
    Summary
    This summary is machine-generated.

    This study demonstrates directional self-imaging in a special gradient-index medium using electromagnetically induced transparency in ⁸⁷Rb cold atoms. This technique offers potential applications in secure optical encryption.

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    Area of Science:

    • Atomic physics
    • Quantum optics
    • Condensed matter physics

    Background:

    • Electromagnetically induced transparency (EIT) enables novel light-matter interactions.
    • Gradient-index media exhibit unique light propagation properties.
    • Cold atomic systems provide a controllable platform for quantum phenomena.

    Purpose of the Study:

    • To investigate directional self-imaging and imaging transformation in a gradient-index EIT medium.
    • To explore the effect of different control field profiles on imaging properties.
    • To assess the potential of this system for optical encryption.

    Main Methods:

    • Utilizing a four-level ⁸⁷Rb cold atomic cloud.
    • Inducing electromagnetically induced transparency with a Gaussian control field.
    • Simulating imaging properties with standard and elliptical Gaussian beams.

    Main Results:

    • Demonstrated directional self-imaging in the gradient-index EIT medium.
    • Showcased the ability to image complex objects within the cold atomic system.
    • Confirmed that using an elliptical Gaussian beam leads to directional self-imaging.

    Conclusions:

    • The gradient-index EIT medium in ⁸⁷Rb atoms exhibits controllable directional self-imaging.
    • The system's imaging transformation capabilities are influenced by the control beam's shape.
    • This research presents a promising avenue for developing advanced optical encryption techniques.