Intrinsic decoherence and purity in a Bose quantum fluid in a triple well potential

Abstract: We consider a quantum Bose fluid confined in a triple well potential in 1D within the exact N-body Bose-Hubbard model to investigate the phenomena of intrinsic decoherence and loss of purity. Our study is done by following the time evolution of one-body properties in an N-particle closed environment. We do an exhaustive exploration of initial conditions to characterize these phenomena. Here we illustrate our main findings with a set of relevant Fock and SU(3) coherent states. Our study shows that signatures of stationarity and maximal mixing are a direct consequence of the inter-particle interactions in the closed system and become evident as the number of particles is increased. This fact is confirmed by quantifying the deviations from stationarity by means of a matrix norm.