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A black hole spin-flip occurs when the spin axis of a rotating black hole undergoes a sudden change in orientation due to absorption of a second (smaller) black hole. Spin-flips are believed to be a consequence of galaxy mergers , when two supermassive black holes form a bound pair at the center of the merged galaxy and coalesce after emitting ...
The probability distribution according to Metropolis-Hastings Dynamics for the change in energy that would result from flipping some spin s for different temperatures, T. () =. Although both of the acceptance probabilities approximate a step curve and they are almost indistinguishable at very low temperatures, they differ when temperature gets ...
The σ z term in T counts the number of spin flips, which we can write in terms of spin-flip creation and annihilation operators: †. The first term flips a spin, so depending on the basis state it either: moves a spin-flip one unit to the right; moves a spin-flip one unit to the left
The evolution of a quantum walk in discrete time is specified by the product of two unitary operators: (1) a "coin flip" operator and (2) a conditional shift operator, which are applied repeatedly. The following example is instructive here. [8] Imagine a particle with a spin-1/2-degree of freedom propagating on a linear array of discrete sites.
The Heisenberg model is a more realistic model in that it treats the spins quantum-mechanically, by replacing the spin by a quantum operator acting upon the tensor product (), of dimension . To define it, recall the Pauli spin-1/2 matrices
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The transverse field Ising model is a quantum version of the classical Ising model.It features a lattice with nearest neighbour interactions determined by the alignment or anti-alignment of spin projections along the axis, as well as an external magnetic field perpendicular to the axis (without loss of generality, along the axis) which creates an energetic bias for one x-axis spin direction ...
The Sokolov–Ternov effect is the effect of self-polarization of relativistic electrons or positrons moving at high energy in a magnetic field.The self-polarization occurs through the emission of spin-flip synchrotron radiation.