Orhan Ami̇rov

Spectral-Gap Bounds and Timescales for Purity Loss in Hamiltonian--Pointer Interactions

We investigate the purity dynamics of a quantum system coupled to a continuous-variable pointer through a von Neumann-type interaction Hamiltonian of the form $\hat H_{\mathrm{int}}=g\,\hat H\otimes\hat p$. For an initially Gaussian pointer state, the interaction generates energy-dependent conditional translations whos...