ArticleNature communications2018
Efficient non-Markovian quantum dynamics using time-evolving matrix product operators.
Article in Nature communications, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed.
- TENSO: Software Package for Numerically Exact Open Quantum Dynamics Based on Efficient Tree Tensor Network Decomposition of the Hierarchical Equations of Motion.Journal of chemical theory and computation · 2026Article
- Scalable Distributed Memory Implementation of the Quasi-Adiabatic Propagator Path Integral.Journal of chemical theory and computation · 2026Article
- Dissipation Pathways in a Photosynthetic Complex.The journal of physical chemistry letters · 2025Article
- Full microscopic simulations uncover persistent quantum effects in primary photosynthesis.Science advances · 2025Article
- Quantum simulation of spin-boson models with structured bath.Nature communications · 2025Article
- High-Frequency Tails in Spectral Densities.The journal of physical chemistry. A · 2025Article
- High-purity and stable single-photon emission in bilayer WSeCommunications physics · 2025Article
- Trapped-ion quantum simulation of electron transfer models with tunable dissipation.Science advances · 2024Article
- Unified framework for open quantum dynamics with memory.Nature communications · 2024Article
- Seeking a quantum advantage with trapped-ion quantum simulations of condensed-phase chemical dynamics.Nature reviews. Chemistry · 2024Review
- Article
- Mapping electronic decoherence pathways in molecules.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- Spin-phonon coupling and magnetic relaxation in single-molecule magnets.Chemical Society reviews · 2023Review
- Phase transitions in the classical simulability of open quantum systems.Scientific reports · 2023Article
- Formally Exact Simulations of Mesoscale Exciton Diffusion in a Light-Harvesting 2 Antenna Nanoarray.The journal of physical chemistry letters · 2023Article
- Invariant-Parameterized Exact Evolution Operator forEntropy (Basel, Switzerland) · 2023Article
- A Theoretical Perspective on Molecular Polaritonics.ACS photonics · 2022Review
- Matrix Product State Simulations of Non-Equilibrium Steady States and Transient Heat Flows in the Two-Bath Spin-Boson Model at Finite Temperatures.Entropy (Basel, Switzerland) · 2021Article
- Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution.Entropy (Basel, Switzerland) · 2020Article
- Relevance of the Quadratic Diamagnetic and Self-Polarization Terms in Cavity Quantum Electrodynamics.ACS photonics · 2020Article
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5 authors.
Funding
Abstract
In order to model realistic quantum devices it is necessary to simulate quantum systems strongly coupled to their environment. To date, most understanding of open quantum systems is restricted either to weak system-bath couplings or to special cases where specific numerical techniques become effective. Here we present a general and yet exact numerical approach that efficiently describes the time evolution of a quantum system coupled to a non-Markovian harmonic environment. Our method relies on expressing the system state and its propagator as a matrix product state and operator, respectively, and using a singular value decomposition to compress the description of the state as time evolves. We demonstrate the power and flexibility of our approach by numerically identifying the localisation transition of the Ohmic spin-boson model, and considering a model with widely separated environmental timescales arising for a pair of spins embedded in a common environment.
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