On the long-time behavior of spin echo and its relation to free induction decay

Details On the long-time behavior of spin echo and its relation to free induction decay On the long-time behavior of spin echo and its relation to free induction decay

2004-11-12

arxiv.org/abs/cond-mat/0411345v1

Phys. Rev. Lett., v. 94, p. 247601 (2005)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.94.247601

It is predicted that (i) spin echoes have two kinds of generic long-time decays: either simple exponential, or a superposition of a monotonic and an oscillatory exponential decays; and (ii) the long-time behavior of spin echo and the long-time behavior of the corresponding homogeneous free induction decay are characterized by the same time constants. This prediction extends to various echo problems both within and beyond nuclear magnetic resonance. Experimental confirmation of this prediction would also support the notion of the eigenvalues of time evolution operators in large quantum systems.

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