Engineering photonic Floquet Hamiltonians through Fabry–Pérot resonators
In this paper we analyze an optical Fabry–Pérot resonator as a time-periodic driving of the (2D) optical field repeatedly traversing the resonator, uncovering that resonator twist produces a synthetic magnetic field applied to the light within the resonator, while mirror aberrations produce relativi...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2016-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/3/035008 |
| _version_ | 1827873695842959360 |
|---|---|
| author | Ariel Sommer Jonathan Simon |
| author_facet | Ariel Sommer Jonathan Simon |
| author_sort | Ariel Sommer |
| collection | DOAJ |
| description | In this paper we analyze an optical Fabry–Pérot resonator as a time-periodic driving of the (2D) optical field repeatedly traversing the resonator, uncovering that resonator twist produces a synthetic magnetic field applied to the light within the resonator, while mirror aberrations produce relativistic dynamics, anharmonic trapping and spacetime curvature. We develop a Floquet formalism to compute the effective Hamiltonian for the 2D field, generalizing the idea that the intra-cavity optical field corresponds to an ensemble of non-interacting, massive, harmonically trapped particles. This work illuminates the extraordinary potential of optical resonators for exploring the physics of quantum fluids in gauge fields and exotic space–times. |
| first_indexed | 2024-03-12T16:40:53Z |
| format | Article |
| id | doaj.art-d421f15d72964839a2691d68dcb9e6ab |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:40:53Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-d421f15d72964839a2691d68dcb9e6ab2023-08-08T14:30:57ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118303500810.1088/1367-2630/18/3/035008Engineering photonic Floquet Hamiltonians through Fabry–Pérot resonatorsAriel Sommer0Jonathan Simon1James Franck Institute and the Department of Physics at the University of Chicago , USAJames Franck Institute and the Department of Physics at the University of Chicago , USAIn this paper we analyze an optical Fabry–Pérot resonator as a time-periodic driving of the (2D) optical field repeatedly traversing the resonator, uncovering that resonator twist produces a synthetic magnetic field applied to the light within the resonator, while mirror aberrations produce relativistic dynamics, anharmonic trapping and spacetime curvature. We develop a Floquet formalism to compute the effective Hamiltonian for the 2D field, generalizing the idea that the intra-cavity optical field corresponds to an ensemble of non-interacting, massive, harmonically trapped particles. This work illuminates the extraordinary potential of optical resonators for exploring the physics of quantum fluids in gauge fields and exotic space–times.https://doi.org/10.1088/1367-2630/18/3/035008optical resonatorsphotonic materialsFloquet dynamicssynthetic gauge fieldssynthetic spacetime curvature |
| spellingShingle | Ariel Sommer Jonathan Simon Engineering photonic Floquet Hamiltonians through Fabry–Pérot resonators New Journal of Physics optical resonators photonic materials Floquet dynamics synthetic gauge fields synthetic spacetime curvature |
| title | Engineering photonic Floquet Hamiltonians through Fabry–Pérot resonators |
| title_full | Engineering photonic Floquet Hamiltonians through Fabry–Pérot resonators |
| title_fullStr | Engineering photonic Floquet Hamiltonians through Fabry–Pérot resonators |
| title_full_unstemmed | Engineering photonic Floquet Hamiltonians through Fabry–Pérot resonators |
| title_short | Engineering photonic Floquet Hamiltonians through Fabry–Pérot resonators |
| title_sort | engineering photonic floquet hamiltonians through fabry perot resonators |
| topic | optical resonators photonic materials Floquet dynamics synthetic gauge fields synthetic spacetime curvature |
| url | https://doi.org/10.1088/1367-2630/18/3/035008 |
| work_keys_str_mv | AT arielsommer engineeringphotonicfloquethamiltoniansthroughfabryperotresonators AT jonathansimon engineeringphotonicfloquethamiltoniansthroughfabryperotresonators |