Fast transport of Bose-Einstein condensates in anharmonic traps

• URL: http://arxiv.org/abs/2210.03788v1
• Date: Fri, 7 Oct 2022 19:20:33 GMT
• Title: Fast transport of Bose-Einstein condensates in anharmonic traps
• Authors: Jing Li, Xi Chen, Andreas Ruschhaupt
• Abstract summary: We present a method to transport Bose-Einstein condensates (BECs) in anharmonic traps. BECs can be transported in the presence of atom-atom interactions in short times without residual excitation. Potential applications are atom interferometry and quantum information processing.
• Score: 7.279037347094549
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present a method to transport Bose-Einstein condensates (BECs) in anharmonic traps and in the presence of atom-atom interactions in short times without residual excitation. Using a combination of a variational approach and inverse engineering methods, we derive a set of Ermakov-like equations that take into account the coupling between the center of mass motion and the breathing mode. By an appropriate inverse engineering strategy of those equations, we then design the trap trajectory to achieve the desired boundary conditions. Numerical examples for cubic or quartic anharmonicities are provided for fast and high-fidelity transport of BECs. Potential applications are atom interferometry and quantum information processing.

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