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Gate-defined quantum confinement in suspended bilayer graphene
Gate-defined quantum confinement in suspended bilayer graphene

... externally applied fields. At B = 0, breaking layer inversion symmetry opens an energy gap tunable up to 250 meV with an external perpendicular electric field E (refs 19–25) that can be used for confinement. In devices with low disorder and at high magnetic fields, gapped states emerge from Coulomb- ...
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... of variables specifying the state of the system. At this level, one will have all the relevant information about the field’s behavior in familiar form. The canonical formalism, involving only the minimal set of variables (which will turn out to be four), is also essential to the quantization program ...
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Braid Topologies for Quantum Computation
Braid Topologies for Quantum Computation

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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