MPSDynamics.jl: Tensor network simulations for finite-temperature (non-Markovian) open quantum system dynamics.

Area of Science:

• Quantum physics
• Computational physics

Background:

• Simulating open quantum systems is computationally demanding.
• Understanding non-Markovian dynamics is crucial for quantum technologies.
• Existing methods often struggle with accuracy at finite temperatures.

Purpose of the Study:

• Introduce MPSDynamics.jl, a Julia package for open quantum systems simulations.
• Provide an easy-to-use interface for studying non-Markovian dynamics.
• Facilitate simulations at both zero and finite temperatures.

Main Methods:

• Utilizes numerically exact Thermalized-Time Evolving Density operator with Orthonormal Polynomials Algorithm (TTRG).
• Employs tensor network representations, specifically matrix product states (MPS) and tree tensor network states.
• Implements various Time-Dependent Variational Principle (TDVP) methods, including bond-adaptive algorithms.

Main Results:

• MPSDynamics.jl offers a versatile platform for simulating complex quantum dynamics.
• The package supports long-range interactions, time-dependent Hamiltonians, and diverse environmental couplings (bosonic/fermionic).
• Robust data storage, logging, and measurement capabilities are integrated.

Conclusions:

• MPSDynamics.jl provides a powerful and accessible tool for researchers in many-body physics and quantum information.
• The package enables accurate, state-of-the-art simulations of non-Markovian open quantum systems.
• Its features facilitate the study of quantum phenomena across various physical systems.