Simulating the spectral gap with polariton graphs
Simulating the spectral gap with polariton graphs
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 X Y 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.
180303-1-7
Kalinin, Kirill P.
cb5caf97-faac-4b3f-81a7-6d81476be1d0
Alyatkin, Sergey
485bddd5-8eb7-4045-911b-86b0d401bdd4
Lagoudakis, Pavlos
ea50c228-f006-4edf-8459-60015d961bbf
Askitopoulos, Alexis
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Berloff, Natalia G.
de2658f8-d78b-4552-ac62-33290762b797
20 November 2020
Kalinin, Kirill P.
cb5caf97-faac-4b3f-81a7-6d81476be1d0
Alyatkin, Sergey
485bddd5-8eb7-4045-911b-86b0d401bdd4
Lagoudakis, Pavlos
ea50c228-f006-4edf-8459-60015d961bbf
Askitopoulos, Alexis
f5793606-9831-4b09-a148-7710fbe4d08b
Berloff, Natalia G.
de2658f8-d78b-4552-ac62-33290762b797
Kalinin, Kirill P., Alyatkin, Sergey, Lagoudakis, Pavlos, Askitopoulos, Alexis and Berloff, Natalia G.
(2020)
Simulating the spectral gap with polariton graphs.
Physical Review B, 102 (18), .
(doi:10.1103/PhysRevB.102.180303).
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 X Y 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.
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Accepted/In Press date: 30 October 2020
Published date: 20 November 2020
Additional Information:
©2022 American Physical Society
Identifiers
Local EPrints ID: 457784
URI: http://eprints.soton.ac.uk/id/eprint/457784
ISSN: 2469-9950
PURE UUID: bdb5aa1d-64c2-42e2-893a-b0060fb03d22
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Date deposited: 16 Jun 2022 16:58
Last modified: 16 Mar 2024 16:32
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Contributors
Author:
Kirill P. Kalinin
Author:
Sergey Alyatkin
Author:
Pavlos Lagoudakis
Author:
Alexis Askitopoulos
Author:
Natalia G. Berloff
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