Metrics
3 Downloads 1 Citation
Share Dataset

Share this dataset on your favorite social media networks.

Quantum mechanical-like approach with non-Hermitian effective Hamiltonians in spin-orbit coupled optical cavities

Version 1.0

Szczytko, Jacek; Oliwa, Przemysław; Bardyszewski, Witold, 2025, "Quantum mechanical-like approach with non-Hermitian effective Hamiltonians in spin-orbit coupled optical cavities", https://doi.org/10.58132/XC1OMB, Dane Badawcze UW, V1

Learn about Data Citation Standards.

Description

Numerical data in Python format generated to plot figures 3,4,5 and 6 in Phys. Rev. Research 6, 013324 (2024).

We present a comprehensive analytical model of resonant states in birefringent microcavities with permeable mirrors. We derive an effective, non-Hermitian photonic Hamiltonian describing cavity mode dispersion and modal lifetimes by applying the Green's function technique based on the Mittag-Leffler expansion with respect to the resonant states and the 𝒌·𝒑 perturbation theory known from semiconductor physics. Using this formalism we obtained results which can be interpreted as effective cavity mode spin-orbit coupling. We use this method to derive the two-mode Hamiltonian to describe the properties of light in the cavity, which significantly reduces the computational effort and properly captures the polarization of the eigenmodes. This is done by introducing the necessary corrections to the Hamiltonian matrix and modifying the basis modes resulting from the coupling with other optical modes present in the system. This simplified Hamiltonian allows us to determine the positions of exceptional points in momentum space. These points are connected by Fermi arcs and appear due to non-Hermiticity and 𝒫𝒯 symmetry

Subject
Physics
Keyword

optical spin-orbit coupling

Related Publication

Oliwa, P., Bardyszewski, W., & Szczytko, J. (2024). Quantum mechanical-like approach with non-Hermitian effective Hamiltonians in spin-orbit coupled optical cavities. Physical Review Research, 6(1), 013324. https://doi.org/10.1103/PhysRevResearch.6.013324 https://doi.org/10.1103/PhysRevResearch.6.013324 doi: 10.1103/PhysRevResearch.6.013324

CC BY - Creative Commons Attribution 4.0 CC BY - Creative Commons Attribution 4.0

Find
1 to 4 of 4 Files
Figure3.npz
ZIP Archive - 1.0 MB - Dec 15, 2025 - 1 Download
MD5: a26aa96648366f7da9fd73894620e005
License: CC BY - Creative Commons Attribution 4.0
Numerical data in Python format for Figure 3. Dispersion relation in 𝑘𝑦 and 𝑘𝑥 directions (left and right parts of each figure, respectively) for three different possible regimes in a birefringent liquid crystal [(b), (d), (f)] obtained by diagonalization of two-mode effective Hamiltonian matrices.
Download
Figure4.npz
ZIP Archive - 4.2 MB - Dec 15, 2025 - 1 Download
MD5: 34d795ded39d4866d4ed4d04e22c79ea
License: CC BY - Creative Commons Attribution 4.0
Numerical data in Python format for Figure 4. Rashba-Dresselhaus 𝑋⁢(𝑚+1),𝑌⁡(𝑚) regime. Stokes polarization parameters [(a) and (d)] 𝑠1, [(b) and (e)] 𝑠2, and [(c) and (f)] 𝑠3 for upper energy branch in 𝒌 space. [(g)–(i)] The absolute values of real and imaginary parts and the phase of difference between two eigenvalues of Hamiltonian
Download
Figure5.npz
ZIP Archive - 4.5 MB - Dec 15, 2025 - 1 Download
MD5: bda12cb75aded17912447adbd8a4c106
License: CC BY - Creative Commons Attribution 4.0
Numerical data in Python format for Figure 5. The same-parity 𝑋⁢(𝑚+2), 𝑌⁡(𝑚) regime. Stokes polarization parameters [(a) and (d)] 𝑠1, [(b) and (e)] 𝑠2, and [(c) and (f)] 𝑠3 for upper energy branch in 𝒌 space. [(g)–(i)] The absolute values of real and imaginary parts and the phase of difference between two eigenvalues of Hamiltonian
Download
Figure6.npz
ZIP Archive - 4.5 MB - Dec 15, 2025 - 0 Downloads
MD5: 8da8f8d5704a4e128a0764d722bfe230
License: CC BY - Creative Commons Attribution 4.0
Numerical data in Python format for Figure 6. The same mode number 𝑋⁡(𝑚),𝑌⁡(𝑚) regime. Stokes polarization parameters [(a) and (d)] 𝑠1, [(b) and (e)] 𝑠2, and [(c) and (f)] 𝑠3 for upper energy branch in 𝒌 space. [(g)–(i)] The absolute values of real and imaginary parts and the phase of difference between two eigenvalues of Hamiltonian
Download
Select File(s)

Please select a file or files to be deleted.

Delete Files

The file(s) will be deleted after you click on the Delete button.

Files will not be removed from previously published versions of the dataset.

Select File(s)

Please select a file or files to be edited.

Select File(s)

Please select a file or files to be edited.

Select File(s)

Please select a file or files to be edited.

Edit license

For selected file(s) set a license to

Select File(s)

Please select a file or files to be downloaded.

Select File(s)

Please select a file or files for access request.

Select File(s)

Please select restricted file(s) to be unrestricted.

Request Access

  You need to Log In/Sign Up to request access to this file.

Continue
Dataset Terms

Please confirm and/or complete the information needed below in order to continue.

Asterisks indicate required fields

Request Access

Access to file(s) subject to additional consent under following conditions:

Accept
Package File Download
Restricted Files Selected

The restricted file(s) selected may not be downloaded because you have not been granted access.

Restricted Files Selected

The restricted file(s) selected may not be downloaded because you have not been granted access.

Click Continue to download the files you have access to download.

Delete Dataset

Are you sure you want to delete this dataset and all of its files? You cannot undelete this dataset.

Embargo

Embargo

Are you sure you want to lift the embargo?

Once you lift the embargo, you will not be able to set it again.

Delete Draft Version

Are you sure you want to delete this draft version? Files will be reverted to the most recently published version. You cannot undelete this draft.

Dataset Anonymized Private URL

Use a Anonymized Private URL to allow those without Dataverse accounts to access your dataset. For more information about the Private URL feature, please refer to the User Guide.

Private URL has not been created.

"WARNING. This dataset has at least one published version. Those who have access to the Anonymized Private URL for this dataset may be able to use its accessible metadata to look up the full, not anonymized version of this dataset.

Dataset Anonymized Private URL

Are you sure you want to disable the Private URL? If you have shared the Private URL with others they will no longer be able to use it to access your dataset.

Dataset Private URL

Use a Private URL to allow those without Dataverse accounts to access your dataset. For more information about the Private URL feature, please refer to the User Guide.

Private URL has not been created.

Dataset Private URL

Are you sure you want to disable the Private URL? If you have shared the Private URL with others they will no longer be able to use it to access your dataset.

Submit for Review

You will not be able to make changes to this dataset while it is in review.

Submit
Publish Dataset

This dataset cannot be published until Wydział Fizyki is published. Would you like to publish both right now?

Once you publish this dataset it must remain published.

Publish Dataset

Are you sure you want to republish this dataset?

Select if this is a minor or major version update.

Publish Dataset

This dataset cannot be published until Wydział Fizyki is published by its administrator.

Publish Dataset

This dataset cannot be published until Wydział Fizyki and Dane Badawcze UW are published.

Return for modification


Send a copy of this message to the return e-mail address.
OK
Deaccession Dataset

Are you sure you want to deaccession? The selected version(s) will no longer be viewable by the public.