Geometric Phases
نویسنده
چکیده
منابع مشابه
Nodal free geometric phases: Concept and application to geometric quantum computation
Nodal free geometric phases are the eigenvalues of the final member of a parallel transporting family of unitary operators. These phases are gauge invariant, always well-defined, and can be measured interferometrically. Nodal free geometric phases can be used to construct various types of quantum phase gates.
متن کاملTopological properties of Berry’s phase
By using a second quantized formulation of level crossing, which does not assume adiabatic approximation, a convenient formula for geometric terms including offdiagonal terms is derived. The analysis of geometric phases is reduced to a simple diagonalization of the Hamiltonian in the present formulation. If one diagonalizes the geometric terms in the infinitesimal neighborhood of level crossing...
متن کاملObservation of geometric phases for mixed states using NMR interferometry.
Examples of geometric phases abound in many areas of physics. They offer both fundamental insights into many physical phenomena and lead to interesting practical implementations. One of them, as indicated recently, might be an inherently fault-tolerant quantum computation. This, however, requires one to deal with geometric phases in the presence of noise and interactions between different physi...
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On the basis of the principle that topological quantum phases arise from the scattering around space-time defects in higher dimensional unification, a geometric model is presented that associates with each quantum phase an element of a transformation group.
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All the geometric phases, adiabatic and non-adiabatic, are formulated in a unified manner in the second quantized path integral formulation. The exact hidden local symmetry inherent in the Schrödinger equation defines the holonomy. All the geometric phases are shown to be topologically trivial. The geometric phases are briefly compared to the chiral anomaly which is naturally formulated in the ...
متن کاملSpectrum of geometric phases in a driven impact oscillator
We study the geometric phases underlying the time evolution of the quantum wavefunction of a driven nonlinear oscillator which exhibits periodic, quasiperiodic as well as chaotic dynamics. In the asymptotic limit, irrespective of the classical dynamics, the geometric phases are found to increase linearly with time. Interestingly, the fingerprints of the classical motion are present in the bound...
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