Time-dependent harmonic potentials for momentum or position scaling
arXiv:2007.09949 · doi:10.1103/PhysRevResearch.2.043162
Abstract
Cooling methods and particle slowers as well as accelerators are basic tools for fundamental research and applications in different fields and systems. We put forward a generic mechanism to scale the momentum of a particle, regardless of its initial position and momentum, by means of a transient harmonic potential. The design of the time-dependent frequency makes use of a linear invariant and inverse techniques drawn from ''shortcuts to adiabaticity''. The timing of the process may be decided beforehand and its influence on the system evolution and final features is analyzed. We address quantum systems but the protocols found are also valid for classical particles. Similar processes are possible as well for position scaling.
References in corpus (12)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Fast optimal frictionless atom cooling in harmonic traps
- Matter wave lensing to picokelvin temperatures
- Engineered swift equilibration of a Brownian particle
- Shortcut to Equilibration of an Open Quantum System
- Shortcuts to Adiabaticity in Driven Open Quantum Systems: Balanced Gain and Loss and Non-Markovian Evolution
- Swift heat transfer by fast-forward driving in open quantum systems
- Towards magnetic slowing of atoms and molecules
- Getting a Grip on the Transverse Motion in a Zeeman Decelerator
- Noether's Theorem and time-dependent quantum invariants
- Robust dynamical exchange cooling with trapped ions
- Speeding Up Particle Slowing using Shortcuts to Adiabaticity