A Monte Carlo wavefunction description of losses in a 1D Bose gas and cooling to the ground state by quantum feedback

TL;DR

This paper models how atom losses affect a 1D Bose gas using Monte Carlo wavefunctions and demonstrates that quantum feedback can cool the system to its ground state.

Contribution

It introduces a Monte Carlo wavefunction method to analyze atom loss effects and shows how quantum feedback enables ground state cooling in a 1D Bose gas.

Findings

System states converge to coherent states during loss events

Quantum feedback can be used to cool the gas to the ground state

Loss recording enables effective quantum control

Abstract

The effect of atom losses on a homogeneous one-dimensional Bose gas lying within the quasi-condensate regime is investigated using a Monte Carlo wavefunction approach. The evolution of the system is calculated, conditioned by the loss sequence, namely the times of individual losses and the position of the removed atoms. We describe the gas within the linearized Bogoliubov approach. For each mode, we find that, for a given quantum trajectory, the state of the system converges towards a coherent state, i.e. the ground state, displaced in phase space. Provided losses are recorded with a temporal and spatially resolved detector, we show that quantum feedback can be implemented and cooling to the ground state of one or several modes can be realized.