A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots

Abstract

We develop a versatile master equation approach to describe the non-equilibrium dynamics of a two-level system in contact with a bosonic environment, which allows for the exploration of a wide range of parameter regimes within a single formalism. As an experimentally relevant example, we apply this technique to the study of excitonic Rabi rotations in a driven quantum dot, and compare its predictions to the numerical Feynman integral approach. We find excellent agreement between the two methods across a generally difficult range of parameters. In particular, the variational master equation technique captures effects usually considered to be non-perturbative, such as multi-phonon processes and bath-induced driving renormalisation, and can give reliable results even in regimes in which previous master equation approaches fail.

5 pages, 2 figures. Published version, revised title, minor changes to the text

References in corpus (8)

• Phonon induced Rabi frequency renormalization of optically driven single InGaAs/GaAs quantum dots
• Quantum dot Rabi rotations beyond the weak exciton-phonon coupling regime
• Phonon-dressed Mollow triplet in the regime of cavity-QED
• Dephasing of Mollow Triplet Sideband Emission of a Resonantly Driven Quantum Dot in a Microcavity
• Resonant nature of phonon-induced damping of Rabi oscillations in quantum dots
• Photon statistics from a resonantly driven quantum dot
• Driving-dependent damping of Rabi oscillations in two-level semiconductor systems
• Quantum control of polaron states in semiconductor quantum dots

Cited by in corpus (91)

• Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
• Modelling exciton-phonon interactions in optically driven quantum dots
• Energy transfer in structured and unstructured environments: master equations beyond the Born-Markov approximations
• Exact states and spectra of vibrationally dressed polaritons
• Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
• Consistent treatment of coherent and incoherent energy transfer dynamics using a variational master equation
• When polarons meet polaritons: Exciton-vibration interactions in organic molecules strongly coupled to confined light fields
• Theory of the quantum-dot Mollow triplet in an exciton-driven semiconductor cavity
• Exact dynamics of non-additive environments in non-Markovian open quantum systems
• A multi-site variational master equation approach to dissipative energy transfer
• Polariton condensation with saturable molecules dressed by vibrational modes
• Detuning-Dependent Mollow Triplet of a Coherently-Driven Single Quantum Dot
• Triplet harvesting in the polaritonic regime: a variational polaron approach
• Model of the optical emission of a driven semiconductor quantum dot: phonon-enhanced coherent scattering and off-resonant sideband narrowing
• The role of phonons for exciton and biexciton generation in an optically driven quantum dot
• Quantum heat statistics with time-evolving matrix product operators
• Completely Positive, Simple, and Possibly Highly Accurate Approximation of the Redfield Equation
• Quantum theory of light emission from quantum dots coupled to structured photonic reservoirs and acoustic phonons
• Polaronic model of Two Level Systems in amorphous solids
• Optical Signatures of Non-Markovian Behaviour in Open Quantum Systems
• Non-Markovian features in semiconductor quantum optics: Quantifying the role of phonons in experiment and theory
• Phonon-mediated population inversion in a semiconductor quantum-dot cavity system
• Even a little delocalization produces large kinetic enhancements of charge-separation efficiency in organic photovoltaics
• On-Demand Generation of Indistinguishable Photons in the Telecom C-Band using Quantum Dot Devices
• Polaron master equation theory of pulse driven phonon-assisted population inversion and single photon emission from quantum dot excitons
• Ground state and dynamics of the biased dissipative two-state system: Beyond variational polaron theory
• Path integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative system
• Pulsed excitation dynamics in quantum dot-cavity systems: limits to optimizing the fidelity of on-demand single photon sources
• Lindblad theory of dynamical decoherence of quantum-dot excitons
• Nonlinear cavity feeding and unconventional photon statistics in solid-state cavity QED revealed by many-level real-time path-integral calculations
• Efficient Real-Time Path Integrals for Non-Markovian Spin-Boson Models
• The hierarchical and perturbative forms of stochastic Schrödinger equations and their applications to carrier dynamics in organic materials
• Phonon-Assisted Ultrafast Charge Separation in a Realistic PCBM Aggregate
• Phonon impact on optical control schemes of quantum dots: The role of quantum dot geometry and symmetry
• Sublinear scaling in non-Markovian open quantum systems simulations
• Vibration-induced coherence enhancement of the performance of a biological quantum heat engine
• When do weak-coupling approaches accurately capture the dynamics of complex quantum systems?
• Efficient Pulse-Excitation Techniques for Single Photon Sources from Quantum Dots in Cavities
• Vibrational effects in charge transport through a molecular double quantum dot
• Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
• Non-Markovian perturbation theories for phonon effects in strong-coupling cavity quantum electrodynamics
• Phonon Effects on Population Inversion in Quantum Dots: Resonant, Detuned and Frequency-swept Excitations
• Environment-Assisted Quantum Transport through Single-Molecule Junctions
• Light-harvesting with guide-slide superabsorbing condensed-matter nanostructures
• Effects of system-bath coupling on Photosynthetic heat engine: A polaron master equation approach
• Mechanism of delocalisation-enhanced exciton transport in disordered organic semiconductors
• Quantum dissipative dynamics of a bistable system in the sub-Ohmic to super-Ohmic regime
• Electron-phonon decoupling due to strong light-matter interactions
• Environmentally improved coherent light harvesting
• Towards a feasible implementation of quantum neural networks using quantum dots
• Asymptotic Floquet states of a periodically driven spin-boson system in the nonperturbative coupling regime
• Time-resolved pump-probe signals of a continuously driven quantum dot affected by phonons
• Cluster Gutzwiller Monte Carlo approach for a critical dissipative spin model
• An open source MATLAB program for fast numerical Feynman integral calculations for open quantum system dynamics on GPUs
• Entanglement in a quantum neural network based on quantum dots
• Cavity-waveguide interplay in lossy resonators and its role in optimal single-photon sources
• Quantum dynamics in a tiered non-Markovian environment
• Engineering a squeezed phonon reservoir with a bichromatic driving of a quantum dot
• Collective Quantum Dot Inversion and Amplification of Photon and Phonon Waves
• Quantum correlations of light and matter through environmental transitions
• Phonon wave packet emission during state preparation of a semiconductor quantum dot using different schemes
• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• Two-photon excitation with finite pulses unlocks pure dephasing-induced degradation of entangled photons emitted by quantum dots
• Probing bath-induced entanglement in a qubit pair by measuring photon correlations
• Polaron-transformed dissipative Lipkin-Meshkov-Glick Model
• Accessing the bath information in open quantum systems with the stochastic c-number Langevin equation method
• Efficient population transfer in a quantum dot exciton under phonon-induced decoherence via shortcuts to adiabaticity
• Establishment of correlated states in a quantum dot interacting with an acoustic phonon reservoir
• Analytic influence functionals for numerical Feynman integrals in most open quantum systems
• Polarization dependence of phonon influences in exciton-biexciton quantum dot systems
• Vibrational enhancement of quadrature squeezing and phase sensitivity in resonance fluorescence
• An analytic expression for the optical exciton transition rates in the polaron frame
• Transiently changing shape of the photon number distribution in a quantum-dot--cavity system driven by chirped laser pulses
• Non-Markovian dynamics of a two-level system in a bosonic bath and a Gaussian fluctuating environment with finite correlation time
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Non-Markovian Quantum Heat Statistics with the Reaction Coordinate Mapping
• A solid state emitter embedded in a microcavity under intense excitation: a variational master equation approach
• The role of polaron dressing in superradiant emission dynamics
• One-dimensional photonic wire as a single-photon source: Implications of cavity QED to a phonon bath of reduced dimensionality
• Dissipative quantum transport at arbitrary parameter regime: a variational method
• Understanding and utilizing the inner bonds of process tensors
• Verifying Quantum Memory in the Dynamics of Spin Boson Models
• Full-polaron master equation approach to dynamical steady states of a driven two-level system beyond the weak system-environment coupling
• Experimental measurement of the reappearance of Rabi rotations in semiconductor quantum dots
• Charge Separation and Dissipation in Molecular Wires under a Light Radiation
• Quantum-dot single photon source performance with off-resonant pulse preparation schemes
• A Nonequilibrium Variational Polaron Theory to Study Quantum Heat Transport
• Structured beam controlled super-resolution in quantum dots via rapid adiabatic passage
• Path-Integral Approach to Quantum Acoustics
• Optical signatures of coherence in molecular dimers
• Non-Markovian decoherence of a two-level system in a Lorentzian bosonic reservoir and a stochastic environment with finite correlation time