Fast expansions and compressions of trapped-ion chains

Abstract

We investigate the dynamics under diabatic expansions/compressions of linear ion chains.Combining a dynamical normal-mode harmonic approximation with the invariant-based inverse-engineering technique, we design protocols that minimize the final motional excitation of the ions. This can substantially reduce the transition time between high and low trap-frequency operations, potentially contributing to the development of scalable quantum information processing.

7 pages, 6 figures

References in corpus (5)

• Fast atomic transport without vibrational heating
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states
• Experimental realization of fast ion separation in segmented Paul traps
• Dynamics and control of fast ion crystal splitting in segmented Paul traps

Cited by in corpus (14)

• Shortcuts to adiabaticity: concepts, methods, and applications
• From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
• Invariant-based inverse engineering of crane control parameters
• Fast separation of two trapped ions
• Fast shuttling of a particle under weak spring-constant noise of the moving trap
• Transient particle energies in shortcuts to adiabatic expansions of harmonic traps
• Shortcuts to adiabaticity for an ion in a rotating radially-tight trap
• Dynamical normal modes for time-dependent Hamiltonians in two dimensions
• Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators
• The Dynamical Invariant of Open Quantum System
• Robust dynamical exchange cooling with trapped ions
• Fast state and trap rotation of a particle in an anisotropic potential
• Optimal control with a multidimensional quantum invariant
• Numerically Optimizing Shortcuts to Adiabaticity: A Hybrid Control Strategy