Optimal control of Bose-Einstein condensates in three dimensions
arXiv:1507.07319 · doi:10.1088/1367-2630/17/11/113027
Abstract
Ultracold gases promise many applications in quantum metrology, simulation and computation. In this context, optimal control theory (OCT) provides a versatile framework for the efficient preparation of complex quantum states. However, due to the high computational cost, OCT of ultracold gases has so far mostly been applied to one-dimensional (1D) problems. Here, we realize computationally efficient OCT of the Gross-Pitaevskii equation (GPE) to manipulate Bose-Einstein condensates in all three spatial dimensions. We study various realistic experimental applications where 1D simulations can only be applied approximately or not at all. Moreover, we provide a stringent mathematical footing for our scheme and carefully study the creation of elementary excitations and their minimization using multiple control parameters. The results are directly applicable to recent experiments and might thus be of immediate use in the ongoing effort to employ the properties of the quantum world for technological applications.
References in corpus (22)
- Many-Body Physics with Ultracold Gases
- Nonlinear atom interferometer surpasses classical precision limit
- Matter-wave interferometry in a double well on an atom chip
- Experimental Observation of a Generalized Gibbs Ensemble
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Twin matter waves for interferometry beyond the classical limit
- Hysteresis in a quantized, superfluid atomtronic circuit
- Persistent currents in spinor condensates
- Bogoliubov modes of a dipolar condensate in a cylindrical trap
- Shortcut to adiabaticity for an interacting Bose-Einstein condensate
- Resistive flow in a weakly interacting Bose-Einstein condensate
- Stabilization of Ultracold Molecules Using Optimal Control Theory
- Optimal quantum control of Bose Einstein condensates in magnetic microtraps
- Interferometry with non-classical motional states of a Bose-Einstein condensate
- Long-Range Order in Electronic Transport through Disordered Metal Films
- Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Comparison of GRAPE and Krotov optimization schemes
- High-fidelity rapid ground-state loading of an ultracold gas into an optical lattice
- Multimode dynamics and emergence of a characteristic length-scale in a one-dimensional quantum system
- Local relaxation and light-cone-like propagation of correlations in a trapped one-dimensional Bose gas
- Prethermalization in one-dimensional Bose gases: description by a stochastic Ornstein-Uhlenbeck process
- Dynamical Instability Induced by Zero Mode Under Symmetry Breaking External Perturbation
Cited by in corpus (19)
- Self-bound dipolar droplets and supersolids in molecular Bose-Einstein condensates
- Quantum Optimal Control in a Chopped Basis: Applications in Control of Bose-Einstein Condensates
- Quantum state control of a Bose-Einstein condensate in an optical lattice
- Optimal control of the transport of Bose-Einstein condensates with atom chips
- QEngine: An open-source C++ Library for Quantum Optimal Control of Ultracold Atoms
- A fully efficient time-parallelized quantum optimal control algorithm
- Josephson oscillations in split one-dimensional Bose gases
- Quantum control of continuous systems via nonharmonic potential modulation
- Optimal control for feedback cooling in cavityless levitated optomechanics
- Creation and manipulation of quantized vortices in Bose-Einstein condensates using reinforcement learning
- A Reduction-Based Strategy for Optimal Control of Bose-Einstein Condensates
- Optimal control of a Bose-Eintein Condensate in an optical lattice: The non-linear and two-dimensional cases
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Quantum thermochemical engines
- Optimal control of large quantum systems: assessing memory and runtime performance of GRAPE
- Optimal control of the self-bound dipolar droplet formation process
- Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
- An Optimal Control Approach to Gradient-Index Design for Beam Reshaping
- Bayesian optimization for state engineering of quantum gases