Shortcut to adiabaticity in spinor condensates
Arnau Sala, David L\'opez N\'u\~nez, Joan Martorell, Luigi De Sarlo,, Tilman Zibold, Fabrice Gerbier, Artur Polls, Bruno Juli\'a-D\'iaz
TL;DR
This paper presents a shortcut protocol for rapidly evolving a spin-1 Bose gas from a nearly all-zero Zeeman sublevel state to a spin-singlet condensate, significantly speeding up the adiabatic process.
Contribution
A novel shortcut method for adiabatic evolution in spinor condensates using an approximate harmonic oscillator mapping.
Findings
Shortcut protocol achieves faster state transformation.
Compared to linear and exponential control variations, the shortcut significantly reduces evolution time.
The method effectively approximates adiabatic dynamics in many-body quantum systems.
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 , 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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