Rapid coherent control of population transfer in lattice systems

Abstract

We derive the driving potential that accelerates adiabatic population transfer from an initial state to a target state in a lattice system without unwanted excitation of other states by extending to discrete systems the fast-forward theory of adiabatic transfer. As an example we apply the theory to a model that describes a Bose-Einstein condensate in a quasi one-dimensional optical lattice, and show that modulation of the tilting of the lattice potential can transfer the population of the Bose-Einstein condensate from site to site with high fidelity and without unwanted excitations.

References in corpus (5)

• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states
• Transitionless quantum driving for spin systems
• Acceleration of adiabatic transport of interacting particles and rapid manipulations of dilute Bose gas in ground state
• Protection of quantum states from disturbance due to random potential by successive translation

Cited by in corpus (13)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Fast-Forward Assisted STIRAP
• Fast-forward scaling in a finite-dimensional Hilbert space
• Time scaling and quantum speed limit in non-Hermitian Hamiltonians
• Fast driving between arbitrary states of a quantum particle by trap deformation
• Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
• Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation
• Unitary deformations of counterdiabatic driving
• Fast-forward scaling theory
• Transition probability generating function of a transitionless quantum parametric oscillator
• Strongly interacting matter in extreme magnetic fields
• Time rescaling of nonadiabatic transitions
• Fast-forward scaling theory for quantum dynamics on curved space-time