Non-adiabatic generation of NOON states in a Tonks--Girardeau gas

Abstract

With adiabatic techniques, it is possible to create quantum superposition states with high fidelity while exercising limited control over the parameters of a system. However, because these techniques are slow compared to other timescales in the system, they are usually not suitable for creating highly unstable states or performing time-critical processes. Both of these situations arise in quantum information processing, where entangled states may only be isolated from the environment for a short time and where quantum computers require high-fidelity operations to be performed quickly. Recently it has been shown that techniques like optimal control and shortcuts to adiabaticity may be used to prepare quantum states non-adiabatically with high fidelity. Here we present two examples of how these techniques can be used to create maximally entangled many-body NOON states in one-dimensional Tonks--Girardeau gases.

16 pages, 10 figures

References in corpus (6)

• Fast atomic transport without vibrational heating
• Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
• High-fidelity rapid ground-state loading of an ultracold gas into an optical lattice
• Generation of macroscopic superposition states in ring superlattices
• Robust Mesoscopic Superposition of Strongly Correlated Ultracold Atoms
• Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons

Cited by in corpus (6)

• Shortcuts to adiabaticity: concepts, methods, and applications
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Shaken not stirred: Creating exotic angular momentum states by shaking an optical lattice
• Static and dynamic phases of a Tonks-Girardeau gas in an optical lattice
• A robust boson dispenser: Quantum state preparation in interacting many-particle systems
• Generation of N00N-like interferences with two thermal light sources