Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session D66: Topological States in AMO Systems I
3:00 PM–5:48 PM,
Monday, March 6, 2023
Room: Room 413
Sponsoring
Unit:
DAMOP
Chair: Ying Su, University of Texas at Dallas
Abstract: D66.00008 : Topological phases of driven-dissipative lattices: non-Hermitian physics and experimental implementations*
4:48 PM–5:00 PM
Presenter:
Diego Porras
(Consejo Superior de Investigaciones Cien)
Authors:
Diego Porras
(Consejo Superior de Investigaciones Cien)
Tomas Ramos
(Consejo Superior de Investigaciones Cien)
Alejandro Gonzalez-Tudela
(Instituto de Física Fundamental-CSIC)
Álvaro Gómez-León
(Institute of Fundamental Physics, CSIC)
Collaboration:
Tomás Ramos (IFF-CSIC, Madrid, Spain)
Álvaro Gómez-León (IFF-CSIC, Madrid, Spain)
Alejandro Gonzalez-Tudela (IFF-CSIC, Madrid, Spain)
We show that a system of coupled photonic or phononic modes with parametric couplings displays an exciting dissipative topological phase diagram. We define a winding number that identifies non-trivial topological phases in which the system behaves as a directional amplifier. Our theoretical framework relies on the singular value decomposition of the non-Hermitian coupling matrix. In our model, zero-singular modes are the analog of zero-energy states in topological insulator theory. Such zero-singular modes dominate the Green’s function of the system, leading to a directional amplification mechanism. Our work reveals a connection between topological insulator theory, non-Hermitian physics and directional amplification. Our ideas can be implemented with a variety of physical setups, including superconducting circuits, trapped ions and optomechanical systems. We present several schemes for such experimental implementation that rely on periodically driving boson local frequencies or, alternatively, by using Kerr-nonlinearities in a four-wave mixing scheme.
*We acknowledge financial support from the Proyecto Sinérgico CAM 2020 Y2020/TCS-6545 (NanoQuCoCM), the CSIC Interdisciplinary Thematic Platform (PTI+) on Quantum Technologies (PTI-QTEP+) and from Spanish project PGC2018-094792-B100(MCIU/AEI/FEDER, EU). T.R. further acknowl- 18 edges support from the Juan de la Cierva fellowship IJC2019-040260-I
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