Global optimization for quantum dynamics of few-fermion systems

Abstract

Quantum state preparation is vital to quantum computation and quantum information processing tasks. In adiabatic state preparation, the target state is theoretically obtained with nearly perfect fidelity if the control parameter is tuned slowly enough. As this, however, leads to slow dynamics, it is often desirable to be able to do processes faster. In this work, we employ two global optimization methods to estimate the quantum speed limit for few-fermion systems confined in a one-dimensional harmonic trap. Such systems can be produced experimentally in a well controlled manner. We determine the optimized control fields and achieve a reduction in the ramping time of more than a factor of four compared to linear ramping. We also investigate how robust the fidelity is to small variations of the control fields away from the optimized shapes.

8 pages, 5 figures, 1 table

References in corpus (11)

• Quantum speed limits in open system dynamics
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Pairing in a system of a few attractive fermions in a harmonic trap
• Pairing of few Fermi atoms in one dimension
• A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap
• Integrable families of hard-core particles with unequal masses in a one-dimensional harmonic trap
• Strongly Interacting One-Dimensional Systems with Small Mass Imbalance
• Quantum adiabatic protocols using emergent local Hamiltonians
• Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures

Cited by in corpus (9)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
• Static and dynamic properties of a few spin $1/2$ interacting fermions trapped in an harmonic potential
• Approximate Dynamics Lead to More Optimal Control: Efficient Exact Derivatives
• Iterative Power Algorithm for Global Optimization with Quantics Tensor Trains
• Fast control of interactions in an ultracold two atom system: Managing correlations and irreversibility
• Optimal protocols for finite-duration quantum quenches in the Luttinger model
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Swinging small quantum systems out of available values of control parameters