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Analytic model for elastic scattering losses from colliding condensates

This study presents a comprehensive quantum model to analyze how spontaneously initiated emissions transition to stimulated mode in scattered atoms, forming a squeezed state resembling a multi-component condensate. The model allows calculation of mode occupation dynamics and full statistics of scattered atoms, serving as a test ground for stochastic methods.

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Analytic model for elastic scattering losses from colliding condensates

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  1. Analytic model for elastic scattering losses from colliding condensates M. Trippenbach P. Zin, J. Chwedenczuk, A. Perez Physics Department, Warsaw University, Yehuda Band Chemistry Department, Ben Gurion University

  2. Outline • Spontaneous & Stimulated – processes • Examples from Quantum Optics • Examples from BEC (elastic scattering) • Stochastic Approach • Benchmark – our simple quantum model to study properties of the scattered atoms

  3. Parametric down conversion

  4. Superradiance

  5. Bragg Scattering

  6. Elastic collisions

  7. Model - 1

  8. Model - 2

  9. Model - 3

  10. Summary • We presented FULL quantum model (multimodel) to study how spontaneously initiated emission can get into stimulated mode • Scattered atoms form a squeezed state that can be viewed as a multi-component condensate. • Not only are we able to calculate the dynamics of mode occupation, but also the full statistics ofscattered atoms. • Test ground for other (stochastic) methods

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