Coherent Control of Trapped Bosons

Abstract

We investigate the quantum behavior of a mesoscopic two-boson system produced by number-squeezing ultracold gases of alkali metal atoms. The quantum Poincare maps of the wavefunctions are affected by chaos in those regions of the phase space where the classical dynamics produces features that are comparable to hbar. We also investigate the possibility for quantum control in the dynamics of excitations in these systems. Controlled excitations are mediated by pulsed signals that cause Stimulated Raman Adiabatic passage (STIRAP) from the ground state to a state of higher energy. The dynamics of this transition is affected by chaos caused by the pulses in certain regions of the phase space. A transition to chaos can thus provide a method of controlling STIRAP.

17 figures, Appended a paragraph on section 1 and explained details behind the hamiltonian on section 5

References in corpus (8)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Regimes of quantum degeneracy in trapped 1D gases
• Atom interferometry with Bose-Einstein condensates in a double-well potential
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• A Quantum Tweezer for Atoms
• Entanglement generation and multiparticle interferometry with neutral atoms
• Chaos assisted adiabatic passage
• Avoided crossings in driven systems

Cited by in corpus (4)

• The fate of dynamical many-body localization in the presence of disorder
• Nonequilibrium Generalised Langevin Equation for the calculation of heat transport properties in model 1D atomic chains coupled to two 3D thermal baths
• Quantum Control of Interacting Bosons in Periodic Optical Lattice
• Time-of-Flight Signatures of Bosons in a Double Well