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  2. Fractional quantum Hall effect - Wikipedia

    en.wikipedia.org/wiki/Fractional_quantum_Hall_effect

    The fractional quantum Hall effect (FQHE) is a collective behavior in a 2D system of electrons. In particular magnetic fields, the electron gas condenses into a remarkable liquid state, which is very delicate, requiring high quality material with a low carrier concentration, and extremely low temperatures.

  3. Fractionalization - Wikipedia

    en.wikipedia.org/wiki/Fractionalization

    In quantum mechanics, fractionalization is the phenomenon whereby the quasiparticles of a system cannot be constructed as combinations of its elementary constituents. One of the earliest and most prominent examples is the fractional quantum Hall effect, where the constituent particles are electrons but the quasiparticles carry fractions of the electron charge.

  4. Fractional vortices - Wikipedia

    en.wikipedia.org/wiki/Fractional_vortices

    Quantum mechanics prohibits it in a uniform ordinary superconductor, but it becomes possible in an inhomogeneous system, for example, if a vortex is placed on a boundary between two superconductors which are connected only by an extremely weak link (also called a Josephson junction); such a situation also occurs on grain boundaries etc. At such ...

  5. Quantum Hall effect - Wikipedia

    en.wikipedia.org/wiki/Quantum_Hall_effect

    The fractional quantum Hall effect is more complicated and still considered an open research problem. [2] Its existence relies fundamentally on electron–electron interactions. In 1988, it was proposed that there was a quantum Hall effect without Landau levels. [3] This quantum Hall effect is referred to as the quantum anomalous Hall (QAH) effect.

  6. Fractional Chern insulator - Wikipedia

    en.wikipedia.org/wiki/Fractional_Chern_insulator

    Fractional Chern insulators (FCIs) are lattice generalizations of the fractional quantum Hall effect that have been studied theoretically since 1993 [1] and have been studied more intensely since early 2010. [2] [3] They were first predicted to exist in topological flat bands carrying Chern numbers. They can appear in topologically non-trivial ...

  7. Quantum revival - Wikipedia

    en.wikipedia.org/wiki/Quantum_revival

    In quantum mechanics, the quantum revival [1] is a periodic recurrence of the quantum wave function from its original form during the time evolution either many times in space as the multiple scaled fractions in the form of the initial wave function (fractional revival) or approximately or exactly to its original form from the beginning (full ...

  8. Density matrix - Wikipedia

    en.wikipedia.org/wiki/Density_matrix

    In quantum mechanics, a density matrix (or density operator) is a matrix that describes an ensemble [1] of physical systems as quantum states (even if the ensemble contains only one system). It allows for the calculation of the probabilities of the outcomes of any measurements performed upon the systems of the ensemble using the Born rule .

  9. Anyon - Wikipedia

    en.wikipedia.org/wiki/Anyon

    Daniel Tsui and Horst Störmer discovered the fractional quantum Hall effect in 1982. ... In quantum mechanics, ... In a quantum mechanical system, for example, ...