A conjugate gradient minimisation approach to generating holographic traps for ultracold atoms

Abstract

Direct minimisation of a cost function can in principle provide a versatile and highly controllable route to computational hologram generation. However, to date iterative Fourier transform algorithms have been predominantly used. Here we show that the careful design of cost functions, combined with numerically efficient conjugate gradient minimisation, establishes a practical method for the generation of holograms for a wide range of target light distributions. This results in a guided optimisation process, with a crucial advantage illustrated by the ability to circumvent optical vortex formation during hologram calculation. We demonstrate the implementation of the conjugate gradient method for both discrete and continuous intensity distributions and discuss its applicability to optical trapping of ultracold atoms.

11 pages, 4 figures

References in corpus (7)

• Atom Interferometers
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• A high-accuracy algorithm for designing arbitrary holographic atom traps
• High-resolution imaging of ultracold fermions in microscopically tailored optical potentials
• Smooth, holographically generated ring trap for the investigation of superfluidity in ultracold atoms
• Dark dynamic acousto-optic ring lattices for ultracold atoms
• Spatial shaping for generating arbitrary optical dipoles traps for ultracold degenerate gases

Cited by in corpus (4)

• Multi-wavelength holography with a single Spatial Light Modulator for ultracold atom experiments
• Feedback-enhanced algorithm for aberration correction of holographic atom traps
• Measuring the Edwards-Anderson order parameter of the Bose glass: a quantum gas microscope approach
• Efficient and fast algorithms to generate holograms for optical tweezers