exp2d

Python/C code for simulation of exciton-polaritons in artificial 2D lattices.

Jupyter notebook interactive examples

linear-farfield.ipynb: Calculation of the far-field radiation from a polariton lattice. Example for the Lieb lattice is below (Fig.S9a of the Supplementary Material of Ref.[1]):

linear-tetm.ipynb: Linear spectrum in presence of a TE-TM splitting. For, example, 15th mode for the Lieb lattice at (kx,ky)=(0,0) is presented below.

nonlinear-pump.ipynb: Nonlinear evolution in presence of the TE-TM splitting and a coherent pumping.

Supplementary files

README.md: this file.

exp2d.py: Python module containing function definitions etc.

exp2d.c: C library (used by linear-farfield.ipynb and nonlinear-pump.ipynb).

Makefile: Makefile to compile the supplementary C library (libexp2d.so produced as an output).

examples: A folder containing animation examples.

Installation

1. Clone:

   $ git clone https://github.com/drgulevich/exp2d.git
   

2. Make:

   $ make
   

3. Use:

   $ jupyter notebook linear-farfield.ipynb
   $ jupyter notebook linear-tetm.ipynb
   $ jupyter notebook nonlinear-pump.ipynb
   

The provided makefile is suitable for compilation on Linux machines. Modify the file accordingly to suit your needs. On MaC systems the flag -soname for compilation of the C shared library may need to be replaced by -install_name.

Research papers using exp2d

1. C. E. Whittaker, E. Cancellieri, P. M. Walker, D. R. Gulevich, H. Schomerus, D. Vaitiekus, B. Royall, D. M. Whittaker, E. Clarke, I. V. Iorsh, I. A. Shelykh, M. S. Skolnick, and D. N. Krizhanovskii, "Exciton Polaritons in a Two-Dimensional Lieb Lattice with Spin-Orbit Coupling", Phys. Rev. Lett. 120, 097401 (2018). https://arxiv.org/abs/1705.03006.

2. D. R. Gulevich and D. Yudin, "Mimicking graphene with polaritonic spin vortices", Phys. Rev. B 96, 115433 (2017). https://arxiv.org/abs/1707.09195.