Time evolution of a single spin inhomogeneously coupled to an interacting spin environment

Zhen Huang, Gehad Sadiek, Sabre Kais

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We study the time evolution of a single spin coupled by exchange interaction to an environment of interacting spin bath modeled by the XY Hamiltonian. By evaluating the spin correlator of the single spin, we observed that the decay rate of the spin oscillations strongly depends on the relative magnitude of the exchange coupling between the single spin and its nearest neighbor J′ and coupling among the spins in the environment J. The decoherence time varies significantly based on the relative coupling magnitudes of J and J′. The decay rate law has a Gaussian profile when the two exchange couplings are of the same order J′ ∼J but converts to exponential and then a power law as we move to the regimes of J′ >J and J′ <J. We also show that the spin oscillations propagate from the single spin to the environmental spins with a certain speed. The effect of varying the anisotropic parameter, external magnetic field, and temperature on the decaying rate of the spin state is also discussed.

Original languageEnglish
Article number144513
JournalJournal of Chemical Physics
Volume124
Issue number14
DOIs
Publication statusPublished - 14 Apr 2006
Externally publishedYes

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Exchange coupling
Hamiltonians
Correlators
Exchange interactions
Magnetic fields
decay rates
Temperature
oscillations
correlators
baths

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Time evolution of a single spin inhomogeneously coupled to an interacting spin environment. / Huang, Zhen; Sadiek, Gehad; Kais, Sabre.

In: Journal of Chemical Physics, Vol. 124, No. 14, 144513, 14.04.2006.

Research output: Contribution to journalArticle

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