Production of Fock Mixtures in Trapped Ions for Motional Metrology

Abstract

We present a protocol to produce a class of non-thermal Fock state mixtures in trapped ions. This class of states features a clear metrological advantage with respect to the ground state, thus overcoming the standard quantum limit without the need for full sideband cooling and Fock-state preparation on a narrow electronic transition. The protocol consists in the cyclic repetition of red-sideband, measurement and preparation laser pulses. By means of the Kraus map representation of the protocol, it is possible to relate the length of the red sideband pulses to the specific class of states that can be generated. With the help of numerical simulations, we analyze the parametric regime where these states can be reliably reproduced.

arXiv comment16 pages, 6 figures

References in corpus (18)

• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
• Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
• Observation of Entangled States of a Fully Controlled 20-Qubit System
• Ground state laser cooling using electromagnetically induced transparency
• Quantum-enhanced sensing of displacements and electric fields with large trapped-ion crystals
• Quantum amplification of mechanical oscillator motion
• Ultrasensitive force and displacement detection using trapped ions
• Weak force detection with superposed coherent states
• Quantum-enhanced sensing of a mechanical oscillator
• Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
• Observation of quantum interference between separated mechanical oscillator wavepackets
• Quantum Lock-in Force Sensing using Optical Clock Doppler Velocimetry
• Simple experimental methods for trapped ion quantum processors
• Experimental and theoretical investigation of a multi-mode cooling scheme using multiple EIT resonances
• High-precision force sensing using a single trapped ion
• Dynamics of an unbalanced two-ion crystal in a Penning trap for application in optical mass spectrometry
• Double-path dark-state laser cooling in a three-level system

Cited by in corpus (5)

• Generating Fock-state superpositions from coherent states by selective measurement
• Optimal Phase-Insensitive Force Sensing with Non-Gaussian States
• Transient dynamics of the quantum Stuart-Landau oscillator
• Probing parameters estimation with Gaussian non-commutative measurements
• An almost deterministic cooling by measurements