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arXiv · 1607.04119

Shortcut to adiabaticity in spinor condensates

Arnau Sala·David López Núñez·Joan Martorell·Luigi De Sarlo·Tilman Zibold·Fabrice Gerbier·Artur Polls·Bruno Juliá-Díaz
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Abstract

We devise a method to shortcut the adiabatic evolution of a spin-1 Bose gas with an external magnetic field as the control parameter. An initial many-body state with almost all bosons populating the Zeeman sublevel $m=0$, is evolved to a final state very close to a macroscopic spin-singlet condensate, a fragmented state with three macroscopically occupied Zeeman states. The shortcut protocol, obtained by an approximate mapping to a harmonic oscillator Hamiltonian, is compared to linear and exponential variations of the control parameter. We find a dramatic speedup of the dynamics when using the shortcut protocol.

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Arnau Sala, David López Núñez, Joan Martorell, Luigi De Sarlo, Tilman Zibold, Fabrice Gerbier, Artur Polls, Bruno Juliá-Díaz. 2016-07-14. Shortcut to adiabaticity in spinor condensates. https://doi.org/10.1103/physreva.94.043623

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