Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain

Details Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain

2004-07-15

arxiv.org/abs/quant-ph/0407114v2

Phys. Rev. A (Rapid Comm.) 70, 060304 (2004)

Physics

Quantum Physics

4 pages, 2 eps figures, RevTeX4; v2: Published version

Scientific paper

10.1103/PhysRevA.70.060304

We consider the problem of the validity of a statistical mechanical description of two-site entanglement in an infinite spin chain described by the XY model Hamiltonian. We show that the two-site entanglement of the state, evolved from the initial equilibrium state, after a change of the magnetic field, does not approach its equilibrium value. This suggests that two-site entanglement, like (single-site) magnetization, is a nonergodic quantity in this model. Moreover we show that these two nonergodic quantities behave in a complementary way.

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