Multiphoton, multimode state classification for nonlinear optical circuits
We introduce a new classification of multimode states with a fixed number of photons. This classification is based on the factorizability of homogeneous multivariate polynomials and is invariant under unitary transformations. The classes physically correspond to field excitations in terms of single...
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-07-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/sv6z-v1gk |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849318623514984448 |
|---|---|
| author | Denis A. Kopylov Christian Offen Laura Ares Boris Wembe Sina Ober-Blöbaum Torsten Meier Polina R. Sharapova Jan Sperling |
| author_facet | Denis A. Kopylov Christian Offen Laura Ares Boris Wembe Sina Ober-Blöbaum Torsten Meier Polina R. Sharapova Jan Sperling |
| author_sort | Denis A. Kopylov |
| collection | DOAJ |
| description | We introduce a new classification of multimode states with a fixed number of photons. This classification is based on the factorizability of homogeneous multivariate polynomials and is invariant under unitary transformations. The classes physically correspond to field excitations in terms of single and multiple photons, each of which is in an arbitrary irreducible superposition of quantized modes. We further show how the transitions between classes are rendered possible by photon addition, photon subtraction, and photon-projection nonlinearities. We explicitly put forward a design for a multilayer interferometer in which the states for different classes can be generated with state-of-the-art experimental techniques. Limitations of the proposed designs are analyzed using the introduced classification, providing a benchmark for the robustness of certain states and classes. |
| format | Article |
| id | doaj-art-8b0673c97bbf4afeb23e117b8c69a1b3 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-8b0673c97bbf4afeb23e117b8c69a1b32025-08-20T03:50:45ZengAmerican Physical SocietyPhysical Review Research2643-15642025-07-017303306210.1103/sv6z-v1gkMultiphoton, multimode state classification for nonlinear optical circuitsDenis A. KopylovChristian OffenLaura AresBoris WembeSina Ober-BlöbaumTorsten MeierPolina R. SharapovaJan SperlingWe introduce a new classification of multimode states with a fixed number of photons. This classification is based on the factorizability of homogeneous multivariate polynomials and is invariant under unitary transformations. The classes physically correspond to field excitations in terms of single and multiple photons, each of which is in an arbitrary irreducible superposition of quantized modes. We further show how the transitions between classes are rendered possible by photon addition, photon subtraction, and photon-projection nonlinearities. We explicitly put forward a design for a multilayer interferometer in which the states for different classes can be generated with state-of-the-art experimental techniques. Limitations of the proposed designs are analyzed using the introduced classification, providing a benchmark for the robustness of certain states and classes.http://doi.org/10.1103/sv6z-v1gk |
| spellingShingle | Denis A. Kopylov Christian Offen Laura Ares Boris Wembe Sina Ober-Blöbaum Torsten Meier Polina R. Sharapova Jan Sperling Multiphoton, multimode state classification for nonlinear optical circuits Physical Review Research |
| title | Multiphoton, multimode state classification for nonlinear optical circuits |
| title_full | Multiphoton, multimode state classification for nonlinear optical circuits |
| title_fullStr | Multiphoton, multimode state classification for nonlinear optical circuits |
| title_full_unstemmed | Multiphoton, multimode state classification for nonlinear optical circuits |
| title_short | Multiphoton, multimode state classification for nonlinear optical circuits |
| title_sort | multiphoton multimode state classification for nonlinear optical circuits |
| url | http://doi.org/10.1103/sv6z-v1gk |
| work_keys_str_mv | AT denisakopylov multiphotonmultimodestateclassificationfornonlinearopticalcircuits AT christianoffen multiphotonmultimodestateclassificationfornonlinearopticalcircuits AT lauraares multiphotonmultimodestateclassificationfornonlinearopticalcircuits AT boriswembe multiphotonmultimodestateclassificationfornonlinearopticalcircuits AT sinaoberblobaum multiphotonmultimodestateclassificationfornonlinearopticalcircuits AT torstenmeier multiphotonmultimodestateclassificationfornonlinearopticalcircuits AT polinarsharapova multiphotonmultimodestateclassificationfornonlinearopticalcircuits AT jansperling multiphotonmultimodestateclassificationfornonlinearopticalcircuits |