Polaritonic XY-Ising machine
Gain-dissipative systems of various physical origin have recently shown the ability to act as analogue minimisers of hard combinatorial optimisation problems. Whether or not these proposals will lead to any advantage in performance over the classical computations depends on the ability to establish...
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2020-06-01
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Online Access: | https://doi.org/10.1515/nanoph-2020-0162 |
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doaj-d506bad3f8924a91b7729282034855442021-09-06T19:20:35ZengDe GruyterNanophotonics2192-86062192-86142020-06-019134127413810.1515/nanoph-2020-0162nanoph-2020-0162Polaritonic XY-Ising machineKalinin Kirill P.0Amo Alberto1Bloch Jacqueline2Berloff Natalia G.3Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA, UKUniv. Lille, CNRS, UMR 8523 – PhLAM – Physique des Lasers Atomes et Molécules, Lille, F-59000, FranceUniversité Paris-Saclay, CNRS, Centre de Nanosciences et de Nanotechnologies, Palaiseau, 91120, FranceDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA, UKGain-dissipative systems of various physical origin have recently shown the ability to act as analogue minimisers of hard combinatorial optimisation problems. Whether or not these proposals will lead to any advantage in performance over the classical computations depends on the ability to establish controllable couplings for sufficiently dense short- and long-range interactions between the spins. Here, we propose a polaritonic XY-Ising machine based on a network of geometrically isolated polariton condensates capable of minimising discrete and continuous spin Hamiltonians. We elucidate the performance of the proposed computing platform for two types of couplings: relative and absolute. The interactions between the network nodes might be controlled by redirecting the emission between the condensates or by sending the phase information between nodes using resonant excitation. We discuss the conditions under which the proposed machine leads to a pure polariton simulator with pre-programmed couplings or results in a hybrid classical polariton simulator. We argue that the proposed architecture for the remote coupling control offers an improvement over geometrically coupled condensates in both accuracy and stability as well as increases versatility, range, and connectivity of spin Hamiltonians that can be simulated with polariton networks.https://doi.org/10.1515/nanoph-2020-0162analogue computing machineexciton-polaritonsising hamiltonianpolaritonic xy-ising machinexy hamiltonianunconventional computing |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Kalinin Kirill P. Amo Alberto Bloch Jacqueline Berloff Natalia G. |
spellingShingle |
Kalinin Kirill P. Amo Alberto Bloch Jacqueline Berloff Natalia G. Polaritonic XY-Ising machine Nanophotonics analogue computing machine exciton-polaritons ising hamiltonian polaritonic xy-ising machine xy hamiltonian unconventional computing |
author_facet |
Kalinin Kirill P. Amo Alberto Bloch Jacqueline Berloff Natalia G. |
author_sort |
Kalinin Kirill P. |
title |
Polaritonic XY-Ising machine |
title_short |
Polaritonic XY-Ising machine |
title_full |
Polaritonic XY-Ising machine |
title_fullStr |
Polaritonic XY-Ising machine |
title_full_unstemmed |
Polaritonic XY-Ising machine |
title_sort |
polaritonic xy-ising machine |
publisher |
De Gruyter |
series |
Nanophotonics |
issn |
2192-8606 2192-8614 |
publishDate |
2020-06-01 |
description |
Gain-dissipative systems of various physical origin have recently shown the ability to act as analogue minimisers of hard combinatorial optimisation problems. Whether or not these proposals will lead to any advantage in performance over the classical computations depends on the ability to establish controllable couplings for sufficiently dense short- and long-range interactions between the spins. Here, we propose a polaritonic XY-Ising machine based on a network of geometrically isolated polariton condensates capable of minimising discrete and continuous spin Hamiltonians. We elucidate the performance of the proposed computing platform for two types of couplings: relative and absolute. The interactions between the network nodes might be controlled by redirecting the emission between the condensates or by sending the phase information between nodes using resonant excitation. We discuss the conditions under which the proposed machine leads to a pure polariton simulator with pre-programmed couplings or results in a hybrid classical polariton simulator. We argue that the proposed architecture for the remote coupling control offers an improvement over geometrically coupled condensates in both accuracy and stability as well as increases versatility, range, and connectivity of spin Hamiltonians that can be simulated with polariton networks. |
topic |
analogue computing machine exciton-polaritons ising hamiltonian polaritonic xy-ising machine xy hamiltonian unconventional computing |
url |
https://doi.org/10.1515/nanoph-2020-0162 |
work_keys_str_mv |
AT kalininkirillp polaritonicxyisingmachine AT amoalberto polaritonicxyisingmachine AT blochjacqueline polaritonicxyisingmachine AT berloffnataliag polaritonicxyisingmachine |
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1717776519676297216 |