Boson sampling with self-generation of squeezing via interaction of photons and atoms
Phys. Rev. A 113, 032615 – Published 16 March, 2026
DOI: https://doi.org/10.1103/lld4-7qmt
Abstract
We suggest a scheme for generating multimode squeezed states for the boson sampling implementation. The idea is to replace a commonly used linear interferometer by a multimode resonator which contains a passive optical element consisting of two-level Bose atoms dispersively interacting with photons and self-generating a squeezed compound state of both bosons—photons and atoms. The suggested scheme does not need (1) on-demand external sources of photons in squeezed or Fock quantum states or (2) numerous interchannel couplers which introduce phase noise and losses that prevent scaling up the system and achieving quantum advantage. The idea is illustrated by a setup based on a Bose-Einstein-condensed gas placed inside a multimode resonator, one of whose optical modes is in the classical coherent regime. The joint probability distribution of photon and/or noncondensed atom numbers is calculated via a matrix hafnian that, for certain parameters of the system, is hardly to be effectively calculated by classical computers. Such experiments are at reach via existing cavity-QED and cold-gas technology.
