Abstract

We theoretically study the dissipative Bose–Hubbard model describing the array of tunneling-coupled cavities with non-conservative photon–photon interaction. The bound two-photon states are formed in this system either in the limited range of the center-of-mass wave vectors or in the full Brillouin zone, depending on the strength of the dissipative interaction. Transition between these two regimes is manifested as an exceptional point in the complex energy spectrum. This improves fundamental understanding of the interplay of non-Hermiticity and interactions in the quantum structures and can potentially be used for on-demand nonlinear light generation in photonic lattices.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Photon-pair generation in arrays of cubic nonlinear waveguides

Alexander S. Solntsev, Andrey A. Sukhorukov, Dragomir N. Neshev, and Yuri S. Kivshar
Opt. Express 20(24) 27441-27446 (2012)

Control of exceptional points in photonic crystal slabs

Piotr M. Kamiński, Alireza Taghizadeh, Olav Breinbjerg, Jesper Mørk, and Samel Arslanagić
Opt. Lett. 42(15) 2866-2869 (2017)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (12)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription