Dynamics of quantum-classical hybrid system: effect of matter-wave pressure

TL;DR

This paper investigates matter-wave pressure in a quantum-classical hybrid system, revealing how quantum subsystems like atoms and BECs exert forces on a classical boundary through their matter-wave properties.

Contribution

It introduces a novel analysis of matter-wave pressure effects in hybrid systems with no direct coupling, highlighting the influence of atom-atom interactions in BECs.

Findings

Classical subsystem experiences a force proportional to Q^{-3} from a quantum atom.

Additional force proportional to Q^{-2} arises from BEC due to atom-atom interactions.

Matter-wave pressure effects depend on the quantum subsystem's properties and interactions.

Abstract

Radiation pressure affects the kinetics of a system exposed to the radiation and it constitutes the basis of laser cooling. In this paper, we study {\it matter-wave pressure} through examining the dynamics of a quantum-classical hybrid system. The quantum and classical subsystem have no explicit coupling to each other, but affect mutually via a changing boundary condition. Two systems, i.e., an atom and a Bose-Einstein condensate(BEC), are considered as the quantum subsystems, while an oscillating wall is taken as the classical subsystem. We show that the classical subsystem would experience a force proportional to $Q^{-3}$ from the quantum atom, whereas it acquires an additional force proportional to $Q^{-2}$ from the BEC due to the atom-atom interaction in the BEC. These forces can be understood as the {\it matter-wave pressure}.