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Jung PS, Pyrialakos GG, Wu FO, Parto M, Khajavikhan M, Krolikowski W, Christodoulides DN. Thermal control of the topological edge flow in nonlinear photonic lattices. Nat Commun 2022; 13:4393. [PMID: 35906224 PMCID: PMC9338248 DOI: 10.1038/s41467-022-32069-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/25/2022] [Accepted: 07/18/2022] [Indexed: 11/29/2022] Open
Abstract
The chaotic evolution resulting from the interplay between topology and nonlinearity in photonic systems generally forbids the sustainability of optical currents. Here, we systematically explore the nonlinear evolution dynamics in topological photonic lattices within the framework of optical thermodynamics. By considering an archetypical two-dimensional Haldane photonic lattice, we discover several prethermal states beyond the topological phase transition point and a stable global equilibrium response, associated with a specific optical temperature and chemical potential. Along these lines, we provide a consistent thermodynamic methodology for both controlling and maximizing the unidirectional power flow in the topological edge states. This can be achieved by either employing cross-phase interactions between two subsystems or by exploiting self-heating effects in disordered or Floquet topological lattices. Our results indicate that photonic topological systems can in fact support robust photon transport processes even under the extreme complexity introduced by nonlinearity, an important feature for contemporary topological applications in photonics. The nonlinear evolution dynamics in topological photonic lattices is systematically investigated within the framework of optical thermodynamics. This approach allows for the precise prediction of topological currents even under the extreme complexity introduced by nonlinearity.
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Affiliation(s)
- Pawel S Jung
- College of Optics & Photonics-CREOL, University of Central Florida, Orlando, FL, 32816, USA.,Faculty of Physics, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland
| | - Georgios G Pyrialakos
- College of Optics & Photonics-CREOL, University of Central Florida, Orlando, FL, 32816, USA
| | - Fan O Wu
- College of Optics & Photonics-CREOL, University of Central Florida, Orlando, FL, 32816, USA
| | - Midya Parto
- College of Optics & Photonics-CREOL, University of Central Florida, Orlando, FL, 32816, USA
| | - Mercedeh Khajavikhan
- College of Optics & Photonics-CREOL, University of Central Florida, Orlando, FL, 32816, USA.,Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, USA
| | - Wieslaw Krolikowski
- Laser Physics Centre, Research School of Physics and Engineering, Australian National University, Canberra, ACT, 0200, Australia.,Science Program, Texas A&M University at Qatar, Doha, Qatar
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Muniz ALM, Wimmer M, Bisianov A, Peschel U, Morandotti R, Jung PS, Christodoulides DN. 2D Solitons in PT-Symmetric Photonic Lattices. PHYSICAL REVIEW LETTERS 2019; 123:253903. [PMID: 31922782 DOI: 10.1103/physrevlett.123.253903] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2019] [Indexed: 06/10/2023]
Abstract
Over the last few years, parity-time (PT) symmetry has been the focus of considerable attention. Ever since, pseudo-Hermitian notions have permeated a number of fields ranging from optics to atomic and topological physics, as well as optomechanics, to mention a few. Unlike their Hermitian counterparts, nonconservative systems do not exhibit a priori real eigenvalues and hence unitary evolution. However, once PT symmetry is introduced, such dissipative systems can surprisingly display a real eigenspectrum, thus ensuring energy conservation during evolution. In optics, PT symmetry can be readily established by incorporating, in a balanced way, regions having an equal amount of optical gain and loss. However, thus far, all optical realizations of such PT symmetry have been restricted to a single transverse dimension (1D), such as arrays of optical waveguides or active coupled cavity arrangements. In most cases, only the loss function was modulated-a restrictive aspect that is only appropriate for linear systems. Here, we present an experimental platform for investigating the interplay between PT symmetry and nonlinearity in two-dimensional (2D) environments, where nonlinear localization and soliton formation can be observed. In contrast to typical dissipative solitons, we demonstrate a one-parameter family of soliton solutions that are capable of displaying attributes similar to those encountered in nonlinear conservative arrangements. For high optical powers, this new family of PT solitons tends to collapse on a discrete network-thus giving rise to an amplified, self-accelerating structure.
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Affiliation(s)
- Andre L M Muniz
- Abbe Center of Photonics, Friedrich Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Martin Wimmer
- Abbe Center of Photonics, Friedrich Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Arstan Bisianov
- Abbe Center of Photonics, Friedrich Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - Ulf Peschel
- Abbe Center of Photonics, Friedrich Schiller University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | | | - Pawel S Jung
- CREOL, University of Central Florida, Orlando, Florida 32816-2700, USA
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Muniz ALM, Alberucci A, Jisha CP, Monika M, Nolte S, Morandotti R, Peschel U. Kapitza light guiding in photonic mesh lattice. OPTICS LETTERS 2019; 44:6013-6016. [PMID: 32628207 DOI: 10.1364/ol.44.006013] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/17/2019] [Accepted: 11/01/2019] [Indexed: 06/11/2023]
Abstract
We experimentally demonstrate the transverse confinement of light in the presence of a longitudinally periodic photonic potential with vanishing average. In agreement with Kapitza's original findings in classical mechanics, we confirm that light undergoes a transverse localization due to the action of an effective potential proportional to the square of the first derivative of the potential. Experiments are performed based on (1+1) D synthetic dimensions realized in a fiber loop system, allowing for complete control of the transverse and longitudinal distributions of the potential.
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