Full counting statistics and the Edgeworth series for matrix product states
arXiv:1212.6965 · doi:10.1088/1742-5468/2013/05/P05001
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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- Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
- Projective phase measurements in one-dimensional Bose gases
- On the low-energy description for tunnel-coupled one-dimensional Bose gases
- Full counting statistics and symmetry resolved entanglement for free conformal theories with interface defects
- Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium
- Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets