Coupled Lindblad pseudomode theory for simulating open quantum systems
arXiv:2506.10308 · doi:10.1103/qfkp-jc7s
Abstract
Coupled Lindblad pseudomode theory is a promising approach for simulating non-Markovian quantum dynamics on both classical and quantum platforms, with dynamics that can be realized as a quantum channel. We provide theoretical evidence that the number of coupled pseudomodes only needs to scale as in the simulation time and precision . Inspired by the realization problem in control theory, we also develop a robust numerical algorithm for constructing the coupled modes that avoids the non-convex optimization required by existing approaches. We demonstrate the effectiveness of our method by computing population dynamics and absorption spectra for the spin-boson model. This work provides a significant theoretical and computational improvement to the coupled Lindblad framework, which impacts a broad range of applications from classical simulations of quantum impurity problems to quantum simulations on near-term quantum platforms.
References in corpus (40)
- Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
- Ultrastrong coupling regimes of light-matter interaction
- The ITensor Software Library for Tensor Network Calculations
- Open Quantum Systems. An Introduction
- Nonequilibrium dynamical mean-field theory and its applications
- Efficient simulation of strong system-environment interactions
- Non-perturbative treatment of non-Markovian dynamics of open quantum systems
- Virtual excitations in the ultra-strongly-coupled spin-boson model: physical results from unphysical modes
- Pseudomodes as an effective description of memory: Non-Markovian dynamics of two-state systems in structured reservoirs
- Auxiliary master equation approach to non-equilibrium correlated impurities
- Taming Quantum Noise for Efficient Low Temperature Simulations of Open Quantum Systems
- Optimized auxiliary oscillators for the simulation of general open quantum systems
- How to discretize a quantum bath for real-time evolution
- Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model
- Dissipation-assisted matrix product factorization
- Generalized theory of pseudomodes for exact descriptions of non-Markovian quantum processes
- Universal Prony fitting decomposition for optimized hierarchical quantum master equations
- Removing instabilities in the hierarchical equations of motion: exact and approximate projection approaches
- Simulating Open Quantum Systems Using Hamiltonian Simulations
- Simulating Bosonic Baths with Error Bars
- Scalable and Programmable Phononic Network with Trapped Ions
- Open systems with error bounds: spin boson model with spectral density variations
- Programmable quantum simulations of bosonic systems with trapped ions
- Markovian Treatment of non-Markovian Dynamics of Open Fermionic Systems
- 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
- Seeking a quantum advantage with trapped-ion quantum simulations of condensed-phase chemical dynamics
- Dynamical error bounds for continuum discretisation via Gauss quadrature rules, -- a Lieb-Robinson bound approach
- 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
- Systematic coarse-graining of environments for the non-perturbative simulation of open quantum systems
- Convergence guarantees for discrete mode approximations to non-Markovian quantum baths
- Full Microscopic Simulations Uncover Persistent Quantum Effects in Primary Photosynthesis
- On stability issues of the HEOM method
- Modeling the unphysical pseudomode model with physical ensembles: simulation, mitigation, and restructuring of non-Markovian quantum noise
- Minimal pole representation for spectral functions
- Transient dynamical phase diagram of the spin-boson model
- Efficient Pseudomode Representation and Complexity of Quantum Impurity Models
- Real-time propagation of adaptive sampling selected configuration interaction wave function
- Error Bounds for Open Quantum Systems with Harmonic Bosonic Bath