Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity
Апстракт
One of the simplest [1] and nowadays hugely investigated models [2-5] for which topological features can be determined is the one-dimensional SSH (Su–Schrieffer–Heeger) model. In photonics, it can be realized as a waveguide array with alternating values of coupling between waveguides, Figure 1. While the linear regime has been investigated in great detail, the nonlinear regime leaves a number of questions open and is the subject of the work presented here. The light propagation through the waveguide array is mathematically modeled by the tight-binding differential-difference Schrödinger-like equation and numerically solved by the 4th order Runge-Kutta procedure. By tuning the ratio between the coupling constants of neighboring sites in the lattice, a topological phase transition can be induced. Boundary-bulk correspondence then provides creation of an integer number of edge states and the response of the bulk via integer value of the Zak-phase. We play with adding defects and inducing ...the nonlinear lattice response in order to confirm existing and find and manage new topological transitions in the system. This has potential applications in realization of the basic logic gates with controlled light (classical and quantum) beams which are necessary for solving quantum computing issues.
Извор:
16th Photonics Workshop : Book of abstracts, 2023, 17-17Издавач:
- Belgrade : Institute of Physics
Напомена:
- XVI Photonics Workshop : Book of abstracts; March 12-15, 2023; Kopaonik, Serbia
Колекције
Институција/група
VinčaTY - CONF AU - Bugarski, Kolja AU - Petrović, Jovana AU - Maluckov, Aleksandra PY - 2023 UR - https://vinar.vin.bg.ac.rs/handle/123456789/13040 AB - One of the simplest [1] and nowadays hugely investigated models [2-5] for which topological features can be determined is the one-dimensional SSH (Su–Schrieffer–Heeger) model. In photonics, it can be realized as a waveguide array with alternating values of coupling between waveguides, Figure 1. While the linear regime has been investigated in great detail, the nonlinear regime leaves a number of questions open and is the subject of the work presented here. The light propagation through the waveguide array is mathematically modeled by the tight-binding differential-difference Schrödinger-like equation and numerically solved by the 4th order Runge-Kutta procedure. By tuning the ratio between the coupling constants of neighboring sites in the lattice, a topological phase transition can be induced. Boundary-bulk correspondence then provides creation of an integer number of edge states and the response of the bulk via integer value of the Zak-phase. We play with adding defects and inducing the nonlinear lattice response in order to confirm existing and find and manage new topological transitions in the system. This has potential applications in realization of the basic logic gates with controlled light (classical and quantum) beams which are necessary for solving quantum computing issues. PB - Belgrade : Institute of Physics C3 - 16th Photonics Workshop : Book of abstracts T1 - Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity SP - 17 EP - 17 UR - https://hdl.handle.net/21.15107/rcub_vinar_13040 ER -
@conference{ author = "Bugarski, Kolja and Petrović, Jovana and Maluckov, Aleksandra", year = "2023", abstract = "One of the simplest [1] and nowadays hugely investigated models [2-5] for which topological features can be determined is the one-dimensional SSH (Su–Schrieffer–Heeger) model. In photonics, it can be realized as a waveguide array with alternating values of coupling between waveguides, Figure 1. While the linear regime has been investigated in great detail, the nonlinear regime leaves a number of questions open and is the subject of the work presented here. The light propagation through the waveguide array is mathematically modeled by the tight-binding differential-difference Schrödinger-like equation and numerically solved by the 4th order Runge-Kutta procedure. By tuning the ratio between the coupling constants of neighboring sites in the lattice, a topological phase transition can be induced. Boundary-bulk correspondence then provides creation of an integer number of edge states and the response of the bulk via integer value of the Zak-phase. We play with adding defects and inducing the nonlinear lattice response in order to confirm existing and find and manage new topological transitions in the system. This has potential applications in realization of the basic logic gates with controlled light (classical and quantum) beams which are necessary for solving quantum computing issues.", publisher = "Belgrade : Institute of Physics", journal = "16th Photonics Workshop : Book of abstracts", title = "Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity", pages = "17-17", url = "https://hdl.handle.net/21.15107/rcub_vinar_13040" }
Bugarski, K., Petrović, J.,& Maluckov, A.. (2023). Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity. in 16th Photonics Workshop : Book of abstracts Belgrade : Institute of Physics., 17-17. https://hdl.handle.net/21.15107/rcub_vinar_13040
Bugarski K, Petrović J, Maluckov A. Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity. in 16th Photonics Workshop : Book of abstracts. 2023;:17-17. https://hdl.handle.net/21.15107/rcub_vinar_13040 .
Bugarski, Kolja, Petrović, Jovana, Maluckov, Aleksandra, "Localized modes in SSH photonic lattice in the presence of defects and local nonlinearity" in 16th Photonics Workshop : Book of abstracts (2023):17-17, https://hdl.handle.net/21.15107/rcub_vinar_13040 .