Precise wavefunction engineering with magnetic resonance

Abstract

Controlling quantum fluids at their fundamental length scale will yield superlative quantum simulators, precision sensors, and spintronic devices. This scale is typically below the optical diffraction limit, precluding precise wavefunction engineering using optical potentials alone. We present a protocol to rapidly control the phase and density of a quantum fluid down to the healing length scale using strong time-dependent coupling between internal states of the fluid in a magnetic field gradient. We demonstrate this protocol by simulating the creation of a single stationary soliton and double soliton states in a Bose-Einstein condensate with control over the individual soliton positions and trajectories, using experimentally feasible parameters. Such states are yet to be realized experimentally, and are a path towards engineering soliton gases and exotic topological excitations.

8+ pages, 3 figures; revised parameters and added section about optimisation of adiabatic, finite-duration pulses and analytic resolution limit

References in corpus (13)

• Non-Abelian Anyons and Topological Quantum Computation
• Theory of ultracold Fermi gases
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Fisher Information and entanglement of non-Gaussian spin states
• Experimental observation of oscillating and interacting matter wave dark solitons
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
• Fast machine-learning online optimization of ultra-cold-atom experiments
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Bose-Einstein condensation in large time-averaged optical ring potentials
• Manipulation of Single Neutral Atoms in Optical Lattices

Cited by in corpus (3)

• Quantum gas magnifier for sub-lattice-resolved imaging of three-dimensional quantum systems
• Creating solitons with controllable and near zero velocity in Bose-Einstein condensates
• An atomic Fabry-Perot interferometer using a pulsed interacting Bose-Einstein condensate