Full counting statistics and the Edgeworth series for matrix product states
Yifei ShiDepartment of Physics, University of Virginia, Charlottesville, VA 22904, USAIsrael KlichDepartment of Physics, University of Virginia, Charlottesville, VA 22904, USA
2013en
ABI
Abstract
We consider full counting statistics of spin in matrix product states. In particular, we study the approach to gaussian distribution for magnetization. We derive the asymptotic corrections to the central limit theorem for magnetization distribution for finite but large blocks in analogy to the Edgeworth series. We also show how central limit theorem like behavior is modified for certain states with topological characteristics such as the AKLT state.
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Cited by 20 references