Stabilisation of an optical transition energy via nuclear Zeno dynamics in quantum dot-cavity systems

Abstract

We investigate the effect of nuclear spins on the phase shift and polarisation rotation of photons scattered off a quantum dot-cavity system. We show that as the phase shift depends strongly on the resonance energy of an electronic transition in the quantum dot, it can provide a sensitive probe of the quantum state of nuclear spins that broaden this transition energy. By including the electron-nuclear spin coupling at a Hamiltonian level within an extended input-output formalism, we show how a photon scattering event acts as a nuclear spin measurement, which when rapidly applied leads to an inhibition of the nuclear spin dynamics via the quantum Zeno effect, and a corresponding stabilisation of the optical resonance. We show how such an effect manifests in the intensity autocorrelation $g^{(2)}(\tau )$ of scattered photons, whose long-time bunching behaviour changes from quadratic decay for low photon scattering rates (weak laser intensities), to ever slower exponential decay for increasing laser intensities as optical measurements impede the nuclear spin evolution.

arXiv comment8 pages, 3 figures

References in corpus (29)

• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Interfacing single photons and single quantum dots with photonic nanostructures
• Deterministic Generation of a Cluster State of Entangled Photons
• Nuclear spin physics in quantum dots: an optical investigation
• A photonic cluster state machine gun
• Giant optical Faraday rotation induced by a single electron spin in a quantum dot: Applications to entangling remote spins via a single photon
• Symmetrised Characterisation of Noisy Quantum Processes
• Transform-limited single photons from a single quantum dot
• Entangling photons using a charged quantum dot in a microcavity
• Giant Optical Non-linearity induced by a Single Two-Level System interacting with a Cavity in the Purcell Regime
• Confluence of resonant laser excitation and bi-directional quantum dot nuclear spin polarization
• Quantum Zeno Dynamics
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Optically generated 2-dimensional photonic cluster state from coupled quantum dots
• Observation of non-Markovian dynamics of a single quantum dot in a micropillar cavity
• Modelling exciton-phonon interactions in optically driven quantum dots
• A charged quantum dot micropillar system for deterministic light matter interactions
• Improving a solid-state qubit through an engineered mesoscopic environment
• Nuclear spin dynamics and Zeno effect in quantum dots and defect centers
• All you ever wanted to know about the quantum Zeno effect in 70 minutes
• Electron-nuclear dynamics in a quantum dot under non-unitary electron control
• Theory of dynamic nuclear polarization and feedback in quantum dots
• Manipulation of the nuclear spin ensemble in a quantum dot with chirped magnetic resonance pulses
• Efficient deterministic giant photon phase shift from a single charged quantum dot
• Zeno dynamics in quantum open systems
• Error distributions on large entangled states with non-Markovian dynamics
• A solvable quantum model of dynamic nuclear polarization in quantum dots
• Noise effects and tomography of remote entangled spins in quantum dots
• Driving-induced population trapping and linewidth narrowing via the quantum Zeno effect

Cited by in corpus (4)

• Quantum Zeno effect under continuous spin noise measurement in a quantum dot-micropillar cavity
• Optical measurement of electron spins in quantum dots: Quantum Zeno effects
• Tuning the nuclei-induced spin relaxation of localized electrons by the quantum Zeno and anti-Zeno effects
• Polaron formation in a spin chain by measurement-induced imaginary Zeeman field