2024/09/13 by V. V. Kocharovsky, Kocharovsky, V. V.
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2409.08973
openalex publication_date 2024/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose boson sampling from a system of coupled photons and Bose-Einstein condensed atoms placed inside a multi-mode cavity as a simulation process testing quantum advantage of quantum systems over classical computers. Consider a two-level atomic transition far-detuned from photon frequency. An atom-photon scattering and interatomic collisions provide interaction creating quasiparticles and exciting atoms, photons into squeezed entangled states orthogonal, respectively, to the atomic condensate and classical field driving the two-level transition. We find a joint probability distribution of atom and photon numbers within a quasi-equilibrium model via a hafnian of an extended covariance matrix. It shows a sampling statistics that is #P-hard for computing even if only photon numbers are sampled. Merging cavity-QED and quantum-gas technologies into hybrid boson sampling setup has the potential to overcome limitations of separate, photon or atom, sampling schemes and reveal quantum advantage.