Parametric squeezing amplification of Bose-Einstein condensates
Georg J\"ager, Tarik Berrada, J\"org Schmiedmayer, Thorsten Schumm,, Ulrich Hohenester
TL;DR
This paper proposes a method to generate highly squeezed states of Bose-Einstein Condensates using parametric amplification via tunnel coupling modulation, enhancing precision in atom interferometry.
Contribution
It introduces a theoretical approach combining parametric amplification and optimal control to produce highly squeezed BEC states for quantum sensing.
Findings
Achieved a squeezing factor of 0.12, corresponding to -18 dB squeezing.
Demonstrated the effectiveness of tunnel coupling modulation at twice the Josephson frequency.
Used multi configurational Hartree method for bosons (MCTDHB) for simulations.
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, dB) suitable for atom interferometry.
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