Quantum to Classical Transition by a Classically Small Interaction

Abstract

We investigate the quantum-classical transition of a kicked rotor (KR) under perturbation by a second one. The influence of such a chaotic KR makes decoherence of the first one, resulting in the emergence of classical diffusion from its quantum dynamics. Such quantum-classical transition persists by decreasing the effective Planck's constant ℏ, and at the same time, decreasing the mass of the second KR and the interaction strength proportionally. In the limit of ħ → 0, due to vanishing small mass and interaction, the second KR has almost no effect on the classical dynamics of the first one. We demonstrate this via two different coupling potentials.

Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas

“…A natural question to ask is whether dynamical localization can survive in the presence of interactions. This has been investigated in several studies where interactions have been introduced through a more complicated kick which couples the particles [14,15] or by including interparticle interactions between the kicks [16][17][18][19][20][21][22][23][24][25][26]. These latter scenarios are of particular interest as interparticle interactions can be readily tuned in ultracoldatom experiments [27].…”