MPSDynamics.jl: Tensor network simulations for finite-temperature (non-Markovian) open quantum system dynamics
arXiv:2406.07052 · doi:10.1063/5.0223107
Abstract
The MPSDynamics.jl package provides an easy to use interface for performing open quantum systems simulations at zero and finite temperatures. The package has been developed with the aim of studying non-Markovian open system dynamics using the state-of-the-art numerically exact Thermalized-Time Evolving Density operator with Orthonormal Polynomials Algorithm (T-TEDOPA) based on environment chain mapping. The simulations rely on a tensor network representation of the quantum states as matrix product states (MPS) and tree tensor network (TTN) states. Written in the Julia programming language, MPSDynamics.jl is a versatile open-source package providing a choice of several variants of the Time-Dependent Variational Principle (TDVP) method for time evolution (including novel bond-adaptive one-site algorithms). The package also provides strong support for the measurement of single and multi-site observables, as well as the storing and logging of data, which makes it a useful tool for the study of many-body physics. It currently handles long-range interactions, time-dependent Hamiltonians, multiple environments, bosonic and fermionic environments, and joint system-environment observables.
11 pages, 3 figures
References in corpus (36)
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- The ITensor Software Library for Tensor Network Calculations
- Time-dependent variational principle for quantum lattices
- Time-evolution methods for matrix-product states
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Efficient simulation of strong system-environment interactions
- Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- Concepts of quantum non-Markovianity: a hierarchy
- Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials
- Quantum collision models: open system dynamics from repeated interactions
- Efficient simulation of finite-temperature open quantum systems
- Numerically exact open quantum systems simulations for arbitrary environments using automated compression of environments
- A variational description of the quantum phase transition in the sub-Ohmic spin-boson model
- Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution
- How to discretize a quantum bath for real-time evolution
- Thermofield-based chain mapping approach for open quantum systems
- Dissipation-assisted matrix product factorization
- Simulating Bosonic Baths with Error Bars
- Noise-assisted digital quantum simulation of open systems
- Exact Simulation of Pigment-Protein Complexes Unveils Vibronic Renormalization of Electronic Parameters in Ultrafast Spectroscopy
- Tensor Network simulation of polaron-polaritons in organic microcavities
- Sublinear scaling in non-Markovian open quantum systems simulations
- Anatomy of quantum critical wave functions in dissipative impurity problems
- Efficient mapping for Anderson impurity problems with matrix product states
- Phase-dependent exciton transport and energy harvesting from thermal environments
- Fingerprint and universal Markovian closure of structured bosonic environments
- Systematic coarse-graining of environments for the non-perturbative simulation of open quantum systems
- Survey of the Hierarchical Equations of Motion in Tensor-Train format for non-Markovian quantum dynamics
- Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics
- From Non-Markovian Dissipation to Spatiotemporal Control of Quantum Nanodevices
- Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials
- Thermal cycle and polaron formation in structured bosonic environments
- Extending Non-Perturbative Simulation Techniques for Open-Quantum Systems to Excited-State Proton Transfer and Ultrafast Non-Adiabatic Dynamics
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- Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
- Making Quantum Collision Models Exact
- Verifying Quantum Memory in the Dynamics of Spin Boson Models
- On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians
- Process Tensor Approaches to Non-Markovian Quantum Dynamics
- Testing bath correlation functions for open quantum dynamics simulations