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Effective hamiltonian approach to the non-Markovian dynamics in a spin-bath

2010

We investigate the dynamics of a central spin that is coupled to a bath of spins through a non-uniform distribution of coupling constants. Simple analytical arguments based on master equation techniques as well as numerical simulations of the full von Neumann equation of the total system show that the short-time damping and decoherence behaviour of the central spin can be modelled accurately through an effective Hamiltonian involving a single effective coupling constant. The reduced short-time dynamics of the central spin is thus reproduced by an analytically solvable effective Hamiltonian model.

Coupling constantPhysicsQuantum decoherenceSpinsHamiltonian modelMarkov processCondensed Matter PhysicsAtomic and Molecular Physics and Opticssymbols.namesakeClassical mechanicsQuantum mechanicsMaster equationsymbolsHamiltonian (quantum mechanics)opens systems effective hamiltonians quantum noise non-markovian dynamicsMathematical PhysicsVon Neumann architecture
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