Dynamics of Cold Atomic Clouds in a Collective Basis

• Grant number: 23/14832-0
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2024
• End date: January 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - Atomic and Molecular Physics
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: André Cidrim Santos
• Grantee: André Cidrim Santos
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated researchers: Romain Pierre Marcel Bachelard
• Associated research grant: 22/06449-9 - Quantum control of trapped Rydberg ions, AP.GR

Abstract

Quantum many-body physics is still an emerging field, largely unexplored, with a huge potential for applications in quantum simulations and quantum computing. In this context, systems of cold atoms, with light-mediated interactions between them, are particularly promising platforms due to their controllability and low decoherence. Such ``effective coupled dipole'' systems remain very challenging to simulate, however. On top of the inherent challenges of dealing with these large quantum systems, the long-range nature of dipole-dipole interactions has limited its scalability and more quantitative modeling of experiments. Our main objective is thus to simulate large quantum systems by taking advantage of a collective-mode basis, aiming to enhance numerical and analytical treatments. Ultimately, this will enable the application of quantum trajectories technique with matrix product states (MPSs) and matrix product density operators (MPDOs) decomposition to the radiative dynamics of cold atomic clouds. This novel approach not only offers a promising numerical tool but also provides a physically intuitive representation of many-body dynamics and a natural picture framed in terms of collective modes. (AU)