Parametric squeezing amplification of Bose-Einstein condensates

Abstract

We theoretically investigate the creation of squeezed states of a Bose-Einstein Condensate (BEC) trapped in a magnetic double well potential. The number or phase squeezed states are created by modulating the tunnel coupling between the two wells periodically with twice the Josephson frequency, i.e., through parametric amplification. Simulations are performed with the multi configurational Hartree method for bosons (MCTDHB). We employ optimal control theory to bring the condensate to a complete halt at a final time, thus creating a highly squeezed state (squeezing factor of 0.12, ${\xi }_S^2=-18$ dB) suitable for atom interferometry.

8 pages, 9 figures

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Cited by in corpus (6)

• Parametric Excitation and Squeezing in a Many-Body Spin System
• Optimal control of the transport of Bose-Einstein condensates with atom chips
• Many-body excitations and de-excitations in trapped ultracold bosonic clouds
• Squeezing oscillations in a multimode bosonic Josephson junction
• Creation and manipulation of quantized vortices in Bose-Einstein condensates using reinforcement learning
• Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates