Adiabatic Time Evolution in Spin-Systems

Details Adiabatic Time Evolution in Spin-Systems Adiabatic Time Evolution in Spin-Systems

2003-09-02

arxiv.org/abs/quant-ph/0309026v1

Phys. Rev. A 69, 042320 (2004)

Physics

Quantum Physics

11 pages, 9 EPS figures

Scientific paper

10.1103/PhysRevA.69.042320

Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg model are discussed. The adiabatic processes are assumed to consist in the slow variation of the strength of the magnetic field that environs the spin-systems. These processes are of current interest in the treatment of cold atoms in optical lattices and in Adiabatic Quantum Computation. We determine the probability that, during an adiabatic passage starting from the ground state, states with higher energy are excited.

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