Optimal control of the self-bound dipolar droplet formation process
arXiv:1905.12546 · doi:10.1016/j.cpc.2019.06.002
Abstract
Dipolar Bose-Einstein condensates have recently attracted much attention in the world of quantum many body experiments. While the theoretical principles behind these experiments are typically supported by numerical simulations, the application of optimal control algorithms could potentially open up entirely new possibilities. As a proof of concept, we demonstrate that the formation process of a single dipolar droplet state could be dramatically accelerated using advanced concepts of optimal control. More specifically, our optimization is based on a multilevel B-spline method reducing the number of required cost function evaluations and hence significantly reducing the numerical effort. Moreover, our strategy allows to consider box constraints on the control inputs in a concise and efficient way. To further improve the overall efficiency, we show how to evaluate the dipolar interaction potential in the generalized Gross-Pitaevskii equation without sacrificing the spectral convergence rate of the underlying time-splitting spectral method.
References in corpus (39)
- The physics of dipolar bosonic quantum gases
- Training Schrödinger's cat: quantum optimal control
- Numerical Solution of the Gross-Pitaevskii Equation for Bose-Einstein Condensation
- Quantum error correction in a solid-state hybrid spin register
- Self-bound droplets of a dilute magnetic quantum liquid
- Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
- Observation of a dipolar quantum gas with metastable supersolid properties
- Optimal control technique for Many Body Quantum Systems dynamics
- Chopped random-basis quantum optimization
- d-wave collapse and explosion of a dipolar Bose-Einstein condensate
- High fidelity spin entanglement using optimal control
- Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
- Quantum filaments in dipolar Bose-Einstein condensates
- Quantum Fluctuations in Dipolar Bose Gases
- Self-bound dipolar droplet: a localized matter-wave in free space
- Bogoliubov modes of a dipolar condensate in a cylindrical trap
- Twin-atom beams
- Gradient optimization of analytic controls: the route to high accuracy quantum optimal control
- Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
- Dressing the chopped-random-basis optimization: a bandwidth-limited access to the trap-free landscape
- Optimal control of complex atomic quantum systems
- Optimal quantum control of Bose Einstein condensates in magnetic microtraps
- Path-integral Monte Carlo study on a droplet of a dipolar Bose-Einstein condensate stabilized by quantum fluctuation
- Striped states in a many-body system of tilted dipoles
- Emergence of chaotic scattering in ultracold Er and Dy
- Fast convolution with free-space Green's functions
- Interferometry with non-classical motional states of a Bose-Einstein condensate
- Smooth optimal quantum control for robust solid state spin magnetometry
- Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Comparison of GRAPE and Krotov optimization schemes
- Charting the circuit QED design landscape using optimal control theory
- Quantum Optimal Control in a Chopped Basis: Applications in Control of Bose-Einstein Condensates
- Optimal control of number squeezing in trapped Bose-Einstein condensates
- Vibrational state inversion of a Bose-Einstein condensate: optimal control and state tomography
- Onset of a modulational instability in trapped dipolar Bose-Einstein condensates
- Optimal control of Bose-Einstein condensates in three dimensions
- Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation
- OCTBEC - A Matlab toolbox for optimal quantum control of Bose-Einstein condensates
- Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Consideration of filter effects
- A GPU accelerated and error-controlled solver for the unbounded Poisson equation in three dimensions
Cited by in corpus (4)
- New states of matter with fine-tuned interactions: quantum droplets and dipolar supersolids
- Supersolidity in Two-Dimensional Trapped Dipolar Droplet Arrays
- Numerical calculation of dipolar quantum droplet stationary states
- Creation and manipulation of quantized vortices in Bose-Einstein condensates using reinforcement learning