Purified pseudomode model for nonlinear system-bath interactions
arXiv:2502.18707 · doi:10.1103/c91x-bhqw
Abstract
The theory of purified pseudomodes [arXiv:2412.04264 (2024)] was recently developed to provide a numerical tool for the analysis of the properties of a quantum system and the environment it couples to via linear system-bath interactions. Here we extend this theory to allow for the description of general nonlinear system-bath interactions. We demonstrate the validity of our method by considering the spontaneous decay of a two-level atom placed inside a single-mode lossy cavity and furthermore, its potential application to nanophotonics by calculating the resonance fluorescence spectrum of a quantum dot in the presence of a phonon environment. Our method provides a useful tool for the study of phonon-assisted emission in quantum dots and holds the the promise for broad applications in fields like quantum biology, nonlinear phononics, and nanophotonics.
13 pages, 2 figures
References in corpus (84)
- The density-matrix renormalization group in the age of matrix product states
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Ultrastrong coupling between light and matter
- Ultrastrong coupling regimes of light-matter interaction
- Unifying time evolution and optimization with matrix product states
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Efficient simulation of strong system-environment interactions
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- The AAA algorithm for rational approximation
- Decoherence-free interaction between giant atoms in waveguide QED
- Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
- Cavity Quantum Materials
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
- Nonexponential decay of a giant artificial atom
- Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
- Reduced hierarchical equations of motion in real and imaginary time: Correlated initial states and thermodynamic quantities
- Hierarchical Liouville-space approach for accurate and universal characterization of quantum impurity systems
- Efficient simulation of finite-temperature open quantum systems
- Oscillating bound states for a giant atom
- Nonlinear cavity optomechanics with nanomechanical thermal fluctuations
- Phonon-dressed Mollow triplet in the regime of cavity-QED
- Two-photon quantum Rabi model with superconducting circuits
- Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-Markovian path integrals
- Entanglement Dynamics of Two Qubits in a Common Bath
- Universal Markovian reduction of Brownian particle dynamics
- Exciting a Bound State in the Continuum through Multi-Photon Scattering plus Delayed Quantum Feedback
- Virtual excitations in the ultra-strongly-coupled spin-boson model: physical results from unphysical modes
- Mappings of open quantum systems onto chain representations and Markovian embeddings
- Few-mode Field Quantization of Arbitrary Electromagnetic Spectral Densities
- Taming Quantum Noise for Efficient Low Temperature Simulations of Open Quantum Systems
- Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
- Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
- Exact Solvability of the two-photon Rabi Hamiltonian
- Optimized auxiliary oscillators for the simulation of general open quantum systems
- How to discretize a quantum bath for real-time evolution
- Phonon Mediated Off-Resonant Quantum Dot-Cavity Coupling
- Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems
- Multiphoton blockade in the two-photon Jaynes-Cummings model
- Nonlinear effects in modulated quantum optomechanics
- Theory of the quantum-dot Mollow triplet in an exciton-driven semiconductor cavity
- Numerical Assessment for Accuracy and GPU Acceleration of TD-DMRG Time Evolution Schemes
- Exact dynamics of non-additive environments in non-Markovian open quantum systems
- Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes
- Tensor-network method to simulate strongly interacting quantum thermal machines
- Removing instabilities in the hierarchical equations of motion: exact and approximate projection approaches
- Ultrastrong coupling regime of non-dipolar light-matter interactions
- Polaron picture of the two-photon quantum Rabi model
- Characterization of a Two-Photon Quantum Battery: Initial Conditions, Stability and Work Extraction
- Fundamentals of Quantum Mechanics in Liouville Space
- Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
- Multiphoton Jaynes-Cummings Model: Arbitrary Rotations in Fock Space and Quantum Filters
- Open systems with error bounds: spin boson model with spectral density variations
- Nonlinear quantum dot optomechanics
- Efficient simulation of open quantum systems coupled to a fermionic bath
- Optimizing co-operative multi-environment dynamics in a dark-state-enhanced photosynthetic heat engine
- Optimized auxiliary representation of a non-Markovian environment by a Lindblad equation
- Phonon-mediated population inversion in a semiconductor quantum-dot cavity system
- Open Quantum System Dynamics from Infinite Tensor Network Contraction
- Enhanced nonlinear optomechanics in a coupled-mode photonic crystal device
- Efficient Real-Time Path Integrals for Non-Markovian Spin-Boson Models
- Cavity Light-Matter Entanglement through Quantum Fluctuations
- Quantum mechanics of open systems: Dissipaton theories
- Sublinear scaling in non-Markovian open quantum systems simulations
- A Lindblad master equation capable of describing hybrid quantum systems in the ultra-strong coupling regime
- Non-Hermitian Pseudomodes for Strongly Coupled Open Quantum Systems: Unravelings, Correlations and Thermodynamics
- Single photons by quenching the vacuum
- A quantum-classical decomposition of Gaussian quantum environments: a stochastic pseudomode model
- Quasi-Lindblad pseudomode theory for open quantum systems
- A pseudo-fermion method for the exact description of fermionic environments: from single-molecule electronics to Kondo resonance
- Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
- Waveguide QED with Quadratic Light-Matter Interactions
- Theory of quantum dissipation in a class of non-Gaussian environments
- Cavity quantum optomechanical nonlinearities and position measurement beyond the breakdown of the linearized approximation
- On stability issues of the HEOM method
- Fixing detailed balance in ancilla-based dissipative state engineering
- Dissipatons as generalized Brownian particles for open quantum systems: Dissipaton-embedded quantum master equation
- Dynamics of a quantum system interacting with white non-Gaussian baths: Poisson noise master equation
- Pseudomode treatment of strong-coupling quantum thermodynamics
- Optical manipulation of bipolarons in a system with nonlinear electron-phonon coupling
- Cavity Spectroscopy for Strongly Correlated Systems
- Input-Output Hierarchical Equations Of Motion
- Transmission-based noise spectroscopy for quadratic qubit-resonator interactions