Dipolar optimal control of entangled current states
arXiv:2507.22822 · doi:10.1103/yt2c-1qh7
Abstract
Quantum state control is a fundamental tool for quantum technologies. In this work, we propose and analyze the use of quantum optimal control to exploit the dipolar interaction of ultracold atoms on a lattice ring, focusing on the generation of selected states with entangled circulation. This scheme requires time-dependent control over the orientation of the magnetic field, a technique that is feasible in ultracold atom laboratories. The system's evolution is driven by just two independent control functions. We describe the symmetry constraints of this approach and numerically test them using the extended Bose-Hubbard model. We find that the proposed control can engineer entangled current states with perfect fidelity across a wide range of systems, and that in the remaining cases, the theoretical upper bounds for fidelity are reached.
References in corpus (48)
- Machine learning and the physical sciences
- A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
- Bose-Einstein condensation of chromium
- A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
- Bose-Einstein Condensation of Erbium
- Training Schrödinger's cat: quantum optimal control
- Quantum control theory and applications: A survey
- Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
- Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
- Quantum Brachistochrone
- Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
- Complete controllability of quantum systems
- Monotonically convergent optimization in quantum control using Krotov's method
- Roadmap on Atomtronics: State of the art and perspective
- Energy-time uncertainty relation for driven quantum systems
- Phase-slip flux qubits
- Geometric derivation of the quantum speed limit
- Quantum Control Landscapes
- Generating shortcuts to adiabaticity in quantum and classical dynamics
- Observation of Bose-Einstein Condensation of Dipolar Molecules
- Atomtronic circuits: from many-body physics to quantum technologies
- One decade of quantum optimal control in the chopped random basis
- Quantum state manipulation and cooling of ultracold molecules
- Dipolar quantum solids emerging in a Hubbard quantum simulator
- Observation of vortices and vortex stripes in a dipolar Bose-Einstein condensate
- Complete controllability of finite-level quantum systems
- Symmetry Principles in Quantum Systems Theory
- Tuning the dipole-dipole interaction in a quantum gas with a rotating magnetic field
- Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation
- Physics-informed neural networks for quantum control
- Adiabatic preparation of many-body states in optical lattices
- Bose-Einstein condensation of 162Dy and 160Dy
- Atomtronic protocol designs for NOON states
- Quantum sensing using imbalanced counter-rotating Bose--Einstein condensate modes
- Vortex Lattice Formation in Dipolar Bose-Einstein Condensates via Rotation of the Polarization
- Relaxation vs. adiabatic quantum steady state preparation: which wins?
- The role of anisotropy in dipolar bosons in triple-well potentials
- Bose-Einstein Condensation of Europium
- Optimal Control for Quantum Metrology via Pontryagin's principle
- Quantum Optimal Control via Semi-Automatic Differentiation
- Vortices in dipolar Bose-Einstein condensates
- Optimal steering of matrix product states and quantum many-body scars
- Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
- Arbitrary-angle rotation of the polarization of a dipolar Bose-Einstein condensate
- Ultracold dipolar bosons trapped in atomtronic circuits
- Quantum superpositions of current states in Rydberg-atom networks
- Optimal control for preparing fractional quantum Hall states in optical lattices
- Dipolar magnetostirring protocol for three-well atomtronic circuits