Domain wall dynamics of the Ising chains in a transverse field

Details Domain wall dynamics of the Ising chains in a transverse field Domain wall dynamics of the Ising chains in a transverse field

2003-08-20

arxiv.org/abs/cond-mat/0308393v1

Phys. Rev. B68, 212407 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages with three figures

Scientific paper

10.1103/PhysRevB.68.212407

We show that the dynamics of an Ising spin chain in a transverse field conserves the number of domains (strings of down spins in an up-spin background) at discrete times. This enables the determination of the eigenfunctions of the time-evolution operator, and the dynamics of initial states with domains. The transverse magnetization is shown to be identically zero in all sectors with a fixed number of domains. For an initial state with a single string of down spins, the local magnetization, the equal-time and double-time spin-spin correlation functions, are calculated analytically as functions of time and the initial string size. The domain size distribution function can be expressed as a simple integral involving Bessel functions.

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