Smooth bang-bang shortcuts to adiabaticity for atomic transport in a moving harmonic trap
arXiv:2002.11605 · doi:10.1103/PhysRevA.101.063410
Abstract
Bang-bang control is often used to implement a minimal-time shortcut to adiabaticity for efficient transport of atoms in a moving harmonic trap. However, drastic changes of the on-off controller, leading to high transport-mode excitation and energy consumption, become infeasible under realistic experimental conditions. To circumvent these problems, we propose smooth bang-bang protocols with near-minimal time, by setting the physical constraints on the relative displacement, speed, and acceleration between the mass center of the atom and the trap center. We adopt Pontryagin's maximum principle to obtain the analytical solutions of smooth bang-bang protocol for near-time-minimal control. More importantly, it is found that the energy excitation and sloshing amplitude are significantly reduced at the expense of operation time. We also present a multiple shooting method for the self-consistent numerical analysis. Finally, this method is applied to other tasks, e.g., energy minimization, where obtaining smooth analytical form is complicated.
References in corpus (51)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Space-borne Bose-Einstein condensation for precision interferometry
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Controlling fast transport of cold trapped ions
- Coherent Diabatic Ion Transport and Separation in a Multi-Zone Trap Array
- Fast atomic transport without vibrational heating
- Transport of Bose-Einstein Condensates with Optical Tweezers
- Fast-forward of adiabatic dynamics in quantum mechanics
- Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
- Optimal trajectories for efficient atomic transport without final excitation
- Optimal transport of ultracold atoms in the non-adiabatic regime
- Exploring the Quantum Speed Limit with Computer Games
- Frictionless atom cooling in harmonic traps: a time-optimal approach
- Long Distance Transport of Ultracold Atoms using a 1D optical lattice
- Hypersonic Bose-Einstein Condensates in Accelerator Rings
- Fast transport of Bose-Einstein condensates
- Transport dynamics of single ions in segmented microstructured Paul trap arrays
- Transport in a harmonic trap: shortcuts to adiabaticity and robust protocols
- Fast manipulation of Bose-Einstein condensates with an atom chip
- Controlling the transport of an ion: Classical and quantum mechanical solutions
- High-fidelity fast quantum transport with imperfect controls
- Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment
- Fast shuttling of a trapped ion in the presence of noise
- Fast transport of two ions in an anharmonic trap
- Fast transport of mixed-species ion chains within a Paul trap
- Quantum control of the motional states of trapped ions through fast switching of trapping potentials
- Optimal control of the transport of Bose-Einstein condensates with atom chips
- Optimal work in a harmonic trap with bounded stiffness
- Acceleration of adiabatic transport of interacting particles and rapid manipulations of dilute Bose gas in ground state
- Applying machine learning optimization methods to the production of a quantum gas
- Fast and optimal transport of atoms with non-harmonic traps
- Realistic Shortcuts to Adiabaticity in Optical Transfer
- Optimal shortcuts for atomic transport in anharmonic traps
- Invariant-based inverse engineering of crane control parameters
- Fast shuttling of a particle under weak spring-constant noise of the moving trap
- Contrast and phase-shift of a trapped atom interferometer using a thermal ensemble with internal state labelling
- Comparison between optimal control and shortcut to adiabaticity protocols in a linear control system
- Fast, high-precision optical polarization synthesizer for ultracold-atom experiments
- Inverse engineering for fast transport and spin control of spin-orbit-coupled Bose-Einstein condensates in moving harmonic traps
- Fast transitionless expansions of Gaussian anharmonic traps for cold atoms: bang-singular-bang control
- Long range transport of ultra cold atoms in a far-detuned 1D optical lattice
- Transport of Atom Packets in a Train of Ioffe-Pritchard Traps
- Speeding up the spatial adiabatic passage of matter waves in optical microtraps by optimal control
- Decoherence and dephasing errors caused by D.C. Stark effect in rapid ion transport
- Noise Sensitivities for an Atom Shuttled by a Moving Optical Lattice via Shortcuts to Adiabaticity
- Can math beat gamers in Quantum Moves?
- Bang-bang shortcut to adiabaticity in trapped ion quantum simulators
- A minimalistic and optimized conveyor belt for neutral atoms
- Trigonometric protocols for shortcuts to adiabatic transport of cold atoms in anharmonic traps
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