By Dawid Hryniuk

A Julia package for solving many-body Lindblad master equations of dissipative spin chains for the non-equilibrium dynamics via variational Monte Carlo optimization of matrix product operators.

Keywords: Open Quantum Systems, Dynamics, Variational Monte Carlo, Tensor Networks, Spins, Lattices, Long-range interactions

Description:

This package is a Julia implementation of a time-dependent variational matrix product operator Monte Carlo method (t-VMPOMC). This methods simulates the non-equilibrium dynamics by means of time-dependent variational Monte Carlo applied to a matrix product operator (MPO) trial state for the many-body density operator. It is suitable for simulating finite, periodic, translationally-invariant, interacting spin chains in contact with an external Markovian environment, including spins with (multiple) long-range interactions.

Installation:

Simply clone the repository via

git clone https://github.com/dhryniuk/t-VMPOMC.git

Example Problems:

Dissipative Ising Model

Further reading:

Hryniuk, D. A.; Szymańska, M. H. Variational approach to open quantum systems with long-range competing interactions. arXiv:2510.01543 [quant-ph].

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