Engineering interactions by collective coupling of atom pairs to cavity photons for entanglement generation

TL;DR

This paper proposes a scheme to engineer atom-atom interactions via cavity photons and molecular states, enabling the creation of robust many-body entangled states with potential applications in quantum technology.

Contribution

It introduces a novel method to tailor atom-atom interactions using cavity photons and molecular states, enhancing entanglement generation in ultracold bosons.

Findings

Induced interactions generate robust many-body entanglement.

Entanglement formation rate scales with photon and atom number.

Optimal measurement saturates quantum Cramer-Rao bound despite photon losses.

Abstract

Engineering atom-atom interactions is essential both for controlling novel phases of matter and for efficient preparation of many-body entangled states, which are key resources in quantum communication, computation, and metrology. In this work, we propose a scheme to tailor these interactions by coupling driven atom pairs to optical cavity photons via a molecular state in the dispersive regime, resulting in an effective photon-field-dependent potential. As an illustrative example, by analyzing the quantum Fisher information, we show that such induced interactions can generate robust many-body entanglement in two-mode ultracold bosons in an optical cavity. By tuning the photon-induced interactions through the cavity drive, we identify conditions for preparing highly entangled states on timescales that mitigate decoherence due to photon loss. Our results show that entanglement formation rate scales strongly with both photon and atom number, dramatically reducing the timescale compared to bare atomic interactions. We also identify an optimal measurement for exploiting the metrological potential of the atomic state in an interferometric protocol with significant photon losses, saturating the quantum Cramer-Rao lower bound. Furthermore, we show that despite these losses the atomic state exhibits strong Bell correlations. Our results pave the way for engineering atom-atom interactions to study novel phases of light and matter in hybrid atom-photon systems, as well as for tailoring complex quantum states for new quantum technology protocols and fundamental tests of quantum mechanics.