Simulating the spectral gap with polariton graphs

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

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number180303
JournalPhysical Review B
Volume102
Issue number18
DOIs
Publication statusPublished - 20 Nov 2020

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