Measurement of energy eigenstates by a slow detector

Abstract

We propose a method for a weak continuous measurement of the energy eigenstates of a fast quantum system by means of a "slow" detector. Such a detector is only sensitive to slowly-changing variables, e. g. energy, while its back-action can be limited solely to decoherence of the eigenstate superpositions. We apply this scheme to the problem of detection of quantum jumps between energy eigenstates in a harmonic oscillator.

arXiv comment4 pages

References in corpus (8)

• Decoherence, einselection, and the quantum origins of the classical
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• The wave nature of biomolecules and fluorofullerenes
• Quantum limit of decoherence: Environment induced superselection of energy eigenstates
• Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
• Measurement induced quantum-classical transition
• A Quantum Non-demolition measurement of Fock states of mesoscopic mechanical oscillators
• Quantum limited sensitivity of SET-based displacement detectors

Cited by in corpus (25)

• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Macroscopic Quantum Mechanics: Theory and Experimental Concepts of Optomechanics
• Standard Quantum Limit for Probing Mechanical Energy Quantization
• Preparing a mechanical oscillator in non-Gaussian quantum states
• Surface dissipation in nanoelectromechanical systems: Unified description with the standard tunneling model and effects of metallic electrodes
• Self-consistent theory of molecular switching
• Engineering Quantum States of a Nano-Resonator via a Simple Auxiliary System
• Phonon number quantum jumps in an optomechanical system
• Ground state cooling of nanomechanical resonator via parametric linear coupling
• Weak and strong measurement of a qubit using a switching-based detector
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Phonon Quantum Nondemolition Measurements in Nonlinearly Coupled Optomechanical Cavities
• Thermal intermodulation noise in cavity-based measurements
• Quantum nondemolition measurement of mechanical motion quanta
• Temporal Dynamics and Nonclassical Photon Statistics of Quadratically Coupled Optomechanical Systems
• Non-adiabatic elimination of auxiliary modes in continuous quantum measurements
• Continuous quantum non-demolition measurement of Fock states of a nanoresonator using feedback-controlled circuit QED
• Beyond Zeno: Approaching Infinite Temperature upon Repeated Measurements
• Shelving-style QND phonon-number detection in quantum optomechanics
• Arbitrary distribution and nonlinear modal interaction in coupled nanomechanical resonators
• Observing controlled quantum state collapse in a single quantum trajectory of a mechanical oscillator
• Quantum Hamiltonian daemons: unitary analogs of combustion engines
• Muon lifetime dependent effects in MiniBooNE and LSND
• Emergent Quantum Jumps in a Nano-Electro-Mechanical System