2025/01 Entanglement Generation and Non-Stationary States

This repository contains the codes associated with the work:

"Generation of Entanglement and Non-Stationary States via Competing Coherent and Incoherent Bosonic Hopping"

by Parvinder Solanki, Albert Cabot, Matteo Brunelli, Federico Carollo, Christoph Bruder, and Igor Lesanovsky.

Dependencies

Python (Version 3.12.3)

The following libraries and their respective versions are required:

• QuTiP: 4.7.5
• NumPy: 1.26.4
• Matplotlib: 3.6.3
• SciPy: 1.11.4

Julia (Version 1.10.5)

The following libraries are required:

• DiffEqBase v6.155.1
• QuadGK v2.11.1
• DiffEqCallbacks v3.9.1
• OrdinaryDiffEq v6.89.0
• LinearAlgebra
• Distributed

Folder Structure

All the codes are contained within the following directories:

1) Correlations

• Contains the code for calculating entanglement, quantum discord, and classical discord.
• Relevant figures: Fig. 3(a,c) (main text), Fig. S2, S3 (supplemental material).

2) Eigenspectra

• Contains the code for computing the eigenspectra of the Liouville superoperator for different system sizes.
• Relevant figures: Fig. 2(g-i) (main text).

3) Mean-field_Dynamics

• Contains the code for generating data and plots related to the mean-field dynamics of the system.
• Relevant figures: Fig. 2, Fig. 3(d) (main text), Fig. S1 (supplemental material).

4) Exact_Dynamics

• Contains the code for evolving the master equation for different system sizes.
• Relevant figures: Fig. 2(d-f) (main text).

5) Spin_equivalent_model

• Contains the code for evolving the spin-equivalent model of the Bose-Hubbard model.
• Includes both mean-field equations and exact time evolution of the master equation for different system sizes.

Additional Folders

• Arxiv: Contains the draft submitted to ArXiv.
• PRL: Contains the draft submitted to Physical Review Letters.

---

For any questions or clarifications, please refer to the manuscript or contact the authors. Happy coding!