Swinging small quantum systems out of available values of control parameters

Abstract

When a quantum system is prepared in its many-body ground state, it can be adiabatically driven to another ground state by changing its control parameter. However, relying on adiabaticity is experimentally unjustified. Moreover, the target value of the control parameter may occur outside the experimentally accessible range. The indicated target state, however, can still be reached within a clever protocol of temporal changes of the control parameter provided its decomposition into some basis is known. It turns out that such a protocol can be obtained in the framework of the optimal control theory. In this paper, we show how to apply such an optimization scheme to small quantum systems treating interaction strength as the control parameter. We believe that the proposed approach can be creatively extended to various complex quantum systems.

arXiv commentAuthors' version accepted for publication

References in corpus (23)

• Quantum Simulation
• Control of quantum phenomena: Past, present, and future
• Zoo of quantum-topological phases of matter
• Training Schrödinger's cat: quantum optimal control
• The European Quantum Technologies Roadmap
• Optimal Control at the Quantum Speed Limit
• Optimal control technique for Many Body Quantum Systems dynamics
• Driving at the quantum speed limit: Optimal control of a two-level system
• Time Minimal Trajectories for a Spin 1/2 Particle in a Magnetic Field
• Few-body physics with ultracold atomic and molecular systems in traps
• Gradient optimization of analytic controls: the route to high accuracy quantum optimal control
• Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
• An information theoretical analysis of quantum optimal control
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Quantum Optimal Control in a Chopped Basis: Applications in Control of Bose-Einstein Condensates
• Extensions of the Mandelstam-Tamm quantum speed limit to systems in mixed states
• Broken symmetry in a two-qubit quantum control landscape
• Quantum Exciton-Polariton Networks through Inverse Four-Wave Mixing
• Dynamical blockade in a bosonic Josephson junction using optimal coupling
• Exact universal bounds on quantum dynamics and fast scrambling
• Colloquium: Synthetic quantum matter in non-standard geometries
• Global optimization for quantum dynamics of few-fermion systems
• Boosting Entanglement Between Exciton-Polaritons with On-Off Switching of Josephson Coupling