Work

Simulating the spectral gap with polariton graphs

Year: 2020

Type: article

Abstract: Polariton graphs were recently proposed and validated as a novel platform for solving hard optimization problems that can be mapped into the Ising or $XY$ models. Here, we elucidate a relationship between the energy spectrum of the $XY$ Hamiltonian, Hermitian and non-Hermitian, and the total number of condensed polariton particles. Using a hexagonal unit lattice we show that the lower-energy states of the $XY$ Hamiltonian are faithfully reproduced by mean-field simulations. We further confirm experimentally a possibility of finite spectral gaps near the condensation threshold for the triangular lattice configurations of polariton condensates. Our study paves the way to simulating the spectral gap of Hermitian and non-Hermitian $XY$ models using polariton graphs.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.102.180303

Authors: Kirill P. Kalinin, Sergey Alyatkin, Pavlos G. Lagoudakis, Alexis Askitopoulos, Natalia G. Berloff

Institutions: University of Cambridge, Skolkovo Institute of Science and Technology, University of Southampton

Language: English

Topic: Strong Light-Matter Interactions

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Award: G6864793976