Stefan Groha, Fabian H. L. Essler, Pasquale Calabrese
SciPost Phys. 4, 043 (2018) ·
published 28 June 2018
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We consider the full probability distribution for the transverse
magnetization of a finite subsystem in the transverse field Ising chain. We
derive a determinant representation of the corresponding characteristic
function for general Gaussian states. We consider applications to the full
counting statistics in the ground state, finite temperature equilibrium states,
non-equilibrium steady states and time evolution after global quantum quenches.
We derive an analytical expression for the time and subsystem size dependence
of the characteristic function at sufficiently late times after a quantum
quench. This expression features an interesting multiple light-cone structure.
