Inelastic chaotic scattering on a Bose–Einstein condensate

Abstract

We devise a microscopic scattering approach to probe the excitation spectrum of a Bose-Einstein condensate. We show that the experimentally accessible scattering cross section exhibits universal Ericson fluctuations, with characteristic properties intimately related to the underlying classical field equations.

Matter-wave scattering from interacting bosons in an optical lattice

“…The analysis for low incoming energy, as well as the energy-resolved scattering, would additionally provide access to the spectral information of the target [60]. While in the Mott insulating limit (U → ∞) the inelastic cross section vanishes [30], whether it can be used to characterize the SF-MI transition remains to be demonstrated.…”

Quantum properties of light scattered from structured many-body phases of ultracold atoms in quantum optical lattices

“…Thus, a plethora of novel quantum phases due to the imprinting of structure by design in the effective lightinduced interaction occurs [24]. In addition to light-scattering [16,25], homogenous quantum many-body phases can be measured by matter wave scattering [26][27][28][29] and dynamical structure factors can be obtained via homodyne detection [30]. Recently, density ordering has been achieved with classical atoms [31].…”

Quantum probe spectroscopy for cold atomic systems

“…Because of these reduced requirements, our protocol constitutes an attractive tool to characterise the spectrum of systems implemented with cold atoms in optical lattices. We expect this work will contribute to the development of new measurement techniques [29,33,[37][38][39][40][41][42][43][44][45] exploiting atomic impurities to characterise cold-atom quantum simulators [34,[46][47][48][49][50], and to explore aspects of quantum chaos in ultracold finite-sized systems [57,58].…”