Engineering fast and stable splitting of matter waves

Abstract

When attempting to split coherent cold atom clouds or a Bose-Einstein condensate (BEC) by bifurcation of the trap into a double well, slow adiabatic following is unstable with respect to any slight asymmetry, and the wave "collapses" to the lower well, whereas a generic fast chopping splits the wave but it also excites it. Shortcuts to adiabaticity engineered to speed up the adiabatic process through non-adiabatic transients, provide instead quiet and robust fast splitting. The non-linearity of the BEC makes the proposed shortcut even more stable.

References in corpus (13)

• Matter-wave interferometry in a double well on an atom chip
• Squeezing and entanglement in a Bose-Einstein condensate
• Shortcut to adiabatic passage in two and three level atoms
• Control of Interaction-Induced Dephasing of Bloch Oscillations
• Atom interferometry with a weakly-interacting Bose Einstein condensate
• Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
• Optimal quantum control of Bose Einstein condensates in magnetic microtraps
• Optimizing number squeezing when splitting a mesoscopic condensate
• Realization of a single Josephson junction for Bose-Einstein condensates
• Condensate splitting in an asymmetric double well for atom chip based sensors
• Fast and robust spin manipulation in a quantum dot by electric fields
• Atom interferometry with trapped Bose-Einstein condensates: Impact of atom-atom interactions
• Fast generation of spin-squeezed states in bosonic Josephson junctions

Cited by in corpus (18)

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• Noise Resistant Quantum Control Using Dynamical Invariants
• Breaking the resilience of a two-dimensional Bose-Einstein condensate to fragmentation
• Fast driving between arbitrary states of a quantum particle by trap deformation
• Invariant-based inverse engineering of crane control parameters
• Fast and stable manipulation of a charged particle in a Penning trap
• Shortcuts to adiabaticity with general two-level non-Hermitian systems
• Action-Noise-Assisted Quantum Control
• Quantum Coherent Control via Pauli Blocking
• Particle in a box with a time-dependent $\delta$-function potential
• Invariant-based inverse engineering for fast and robust load transport in a double pendulum bridge crane
• Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
• Shortcut to spin dynamics for quantum mixtures
• Invariant-based inverse engineering for balanced displacement of a cart-pole system