Fast bias inversion of a double well without residual particle excitation
S. Mart\'inez-Garaot, M. Palmero, D. Gu\'ery-Odelin, J. G. Muga

TL;DR
This paper presents a method for rapidly inverting the bias of an asymmetric double well potential without residual motional excitation by combining a fast bias change with a compensating linear ramp.
Contribution
It introduces a novel technique that achieves fast bias inversion in double wells while suppressing residual excitation, surpassing adiabatic limitations.
Findings
Residual excitation is effectively suppressed during fast bias inversion.
The method enables vibrational state inversion without internal state excitation.
The approach combines a predetermined bias change with a compensating linear ramp.
Abstract
We design fast bias inversions of an asymmetric double well so that the lowest states in each well remain so and free from residual motional excitation. This cannot be done adiabatically, and a sudden bias switch produces in general motional excitation. The residual excitation is suppressed by complementing a predetermined fast bias change with a linear ramp whose time-dependent slope compensates for the displacement of the wells. The process, combined with vibrational multiplexing and demultiplexing, can produce vibrational state inversion without exciting internal states, just by deforming the trap.
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