Transport in a harmonic trap: shortcuts to adiabaticity and robust protocols

Abstract

We study the fast transport of a particle or a Bose-Einstein condensate in a harmonic potential. An exact expression for the final excitation energy in terms of the Fourier transform of the trap acceleration is used to engineer optimal transport protocols (with no final excitation) that are robust with respect to spring-constant errors. The same technique provides a way to design the simultaneous and robust transport of a few non-interacting species that experience different harmonic trap frequencies in the same trap.

6 pages, 2 figures

References in corpus (4)

• Fast atomic transport without vibrational heating
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Optimal transport of ultracold atoms in the non-adiabatic regime
• Transport dynamics of single ions in segmented microstructured Paul trap arrays

Cited by in corpus (17)

• Hypersonic Bose-Einstein Condensates in Accelerator Rings
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Faster State Preparation across Quantum Phase Transition Assisted by Reinforcement Learning
• Fast driving between arbitrary states of a quantum particle by trap deformation
• Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system
• Reverse engineering protocols for controlling spin dynamics
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Fast and robust magnon transport in a spin chain
• Unitary deformations of counterdiabatic driving
• Connection between inverse engineering and optimal control in shortcuts to adiabaticity
• Spatial non-adiabatic passage using geometric phases
• Robust control of linear systems and shortcut to adiabaticity based on superoscillations
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Trigonometric protocols for shortcuts to adiabatic transport of cold atoms in anharmonic traps
• Open loop linear control of quadratic Hamiltonians with applications
• Time-Optimal Transport of a Harmonic Oscillator: Analytic Solution
• Fast ion shuttling which is robust versus oscillatory perturbations