Jiayin Gu

We construct the entanglement entropy of a general scattering process between one particle species (denoted as $A$) and the rest of the final state. Assuming a pure initial momentum eigenstate, we show that the reduced density matrix in particle $A$'s Fock space is block-diagonal in zero-, one- and multi-particle states, and is diagonal in the momentum basis for the one-particle state.

1 INTRODUCTION Species interactions are essential to global ecological communities. Both trophic and non-trophic interactions create intricate networks among species, encompassing dynamics, such as predation, competition, pollination and seed dispersal (Kéfi et al., 2012).

Abstract We analytically calculate the cumulant generating function of energy and particle transport in an open one-dimensional Kitaev chain at finite temperature by utilizing the Keldysh technique. The joint distribution of particle and energy currents satisfies different fluctuation relations in different regions of the parameter space as a result of U(1) symmetry breaking and energy conservation.