منابع مشابه
Off-diagonal geometric phases.
We investigate the adiabatic evolution of a set of nondegenerate eigenstates of a parametrized Hamiltonian. Their relative phase change can be related to geometric measurable quantities that extend the familiar concept of Berry phase to the evolution of more than one state. We present several physical systems where these concepts can be applied, including an experiment on microwave cavities for...
متن کاملEffects of Entanglement on Off-diagonal Geometric Phases
The effect of entanglement on off-diagonal geometric phases is investigated in the paper. Two spin-1/2 particles in magnetic fields along the y direction are taken as an example. Three parameters (the purity of state r, the mixing angle θ and the relative phase β) are chosen to characterize the initial states. The nodal points at which the usual geometric phases disappear are calculated and ill...
متن کاملOff-diagonal Mixed State Phases in Unitary Evolution A
Off-diagonal mixed state phases based upon a concept of orthogonality adapted to unitary evolution and a proper normalisation condition are introduced. Some particular instances are analysed and parallel transport leading to the off-diagonal mixed state geometric phase is delineated. A complete experimental realisation of the off-diagonal mixed state geometric phases in the qubit case using pol...
متن کاملOff - Diagonal
Experience shows that there is a strong parallel between metrization theory for compact spaces and for linearly ordered spaces in terms of diagonal conditions. Recent theorems of Gruenhage, Pelant, Kombarov, and Stepanova have described metrizability of compact (and related) spaces in terms of the offdiagonal behavior of those spaces, i.e., in terms of properties of X −∆. In this paper, we show...
متن کاملDiagonal Dominance and Harmless Off-diagonal Delays
Systems of linear differential equations with constant coefficients, as well as Lotka–Volterra equations, with delays in the off–diagonal terms are considered. Such systems are shown to be asymptotically stable for any choice of delays if and only if the matrix has a negative weakly dominant diagonal.
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2000
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.85.3067