Quantum Statistical Properties of a Three-Mode Atom-Molecule Bose-Einstein Conden-sates System for Non-Zero Intraspecific Interactions: Antibunching

Authors S.K. Giri

Department of Physics, Panskura Banamali College (Autonomous), 721152 Panskura, India

Е-mail sandipgiri26@gmail.com
Issue Volume 16, Year 2024, Number 1
Dates Received 15 December 2023; revised manuscript received 17 February 2024; published online 28 February 2024
Citation S.K. Giri, J. Nano- Electron. Phys. 16 No 1, 01028 (2024)
DOI https://doi.org/10.21272/jnep.16(1).01028
PACS Number(s) 42.50.Ex, 67.85.Jk
Keywords Bose-Einstein condensates, Bose-stimulated Raman adiabatic passage, Photoassociation, Quantum coherence, Quantum antibunching.

Stable molecular Bose-Einstein condensate (MBEC) can be formed through the Bose-stimulated Raman adiabatic passage from atomic Bose-Einstein condensate (ABEC) via an intermediate excited MBEC state. Such a three-mode atom-molecule Bose-Einstein condensates (AMBECs) system is consists of three Bose-Einstein condensates (BECs) in which there are one ABEC, one excited MBEC, and one stable MBEC. Nonzero intermodal couplings and intramodal interactions are present in the system. The free-bound coupling is present between the ABEC and the excited MBEC, and the bound-bound coupling is present between the excited MBEC and the stable MBEC. The intraspecies interactions are due to the third order nonlinearity of the system. The quantum mechanical Hamiltonian of the system is constructed considering the intermodal couplings and intramodal interactions. We solve the system Hamiltonian analytically to find out the time evaluation of the field operators associated with all three BEC modes. In our solution process we have considered up to the second order of all coupling and interaction constants. Employing these solutions and starting from an initial composite coherent state of three BEC modes, we study the second order quantum coherence function of three pure BEC modes and three coupled modes (ABEC-exited MBEC, excited MBEC-stable MBEC, and ABEC-stable MBEC). Quantum antibunching is reported in all three pure BEC modes and in ABEC-excited MBEC, excited MBEC-stable MBEC coupled modes whereas the joint mode of ABEC and stable MBEC is always coherent. We also study the quantum statistical properties of the system by introducing an initial phase to the coherent states of pure BEC modes. The quantum statistical properties of different pure and coupled modes also depend on the initial phase angles of the pure BEC modes. A comprehensive study on this is also reported here.

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