Quantum correlations in the Kerr Ising model
In this article we present a full description of the quantum Kerr Ising model—a linear optical network of parametrically pumped Kerr nonlinearities. We consider the non-dissipative Kerr Ising model and, using variational techniques, show that the energy spectrum is primarily determined by the adjace...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab7255 |
| _version_ | 1797750369309163520 |
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| author | M J Kewming S Shrapnel G J Milburn |
| author_facet | M J Kewming S Shrapnel G J Milburn |
| author_sort | M J Kewming |
| collection | DOAJ |
| description | In this article we present a full description of the quantum Kerr Ising model—a linear optical network of parametrically pumped Kerr nonlinearities. We consider the non-dissipative Kerr Ising model and, using variational techniques, show that the energy spectrum is primarily determined by the adjacency matrix in the Ising model and exhibits highly non-classical cat like eigenstates. We then introduce dissipation to give a quantum mechanical treatment of the measurement process based on homodyne detection via the conditional stochastic Schrodinger equation. Finally, we identify a quantum advantage in comparison to the classical analogue for the example of two anti-ferromagnetic cavities. |
| first_indexed | 2024-03-12T16:31:47Z |
| format | Article |
| id | doaj.art-b93fb35d267d4e95985b2d9d254fa25d |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:47Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-b93fb35d267d4e95985b2d9d254fa25d2023-08-08T15:27:27ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122505304210.1088/1367-2630/ab7255Quantum correlations in the Kerr Ising modelM J Kewming0https://orcid.org/0000-0002-0242-120XS Shrapnel1https://orcid.org/0000-0001-8407-7176G J Milburn2Centre for Engineered Quantum Systems, School of Mathematics and Physics, University of Queensland , QLD 4072 AustraliaCentre for Engineered Quantum Systems, School of Mathematics and Physics, University of Queensland , QLD 4072 AustraliaCentre for Engineered Quantum Systems, School of Mathematics and Physics, University of Queensland , QLD 4072 AustraliaIn this article we present a full description of the quantum Kerr Ising model—a linear optical network of parametrically pumped Kerr nonlinearities. We consider the non-dissipative Kerr Ising model and, using variational techniques, show that the energy spectrum is primarily determined by the adjacency matrix in the Ising model and exhibits highly non-classical cat like eigenstates. We then introduce dissipation to give a quantum mechanical treatment of the measurement process based on homodyne detection via the conditional stochastic Schrodinger equation. Finally, we identify a quantum advantage in comparison to the classical analogue for the example of two anti-ferromagnetic cavities.https://doi.org/10.1088/1367-2630/ab7255Ising modelKerr nonlinearityquantum correlationscoherent Ising machine |
| spellingShingle | M J Kewming S Shrapnel G J Milburn Quantum correlations in the Kerr Ising model New Journal of Physics Ising model Kerr nonlinearity quantum correlations coherent Ising machine |
| title | Quantum correlations in the Kerr Ising model |
| title_full | Quantum correlations in the Kerr Ising model |
| title_fullStr | Quantum correlations in the Kerr Ising model |
| title_full_unstemmed | Quantum correlations in the Kerr Ising model |
| title_short | Quantum correlations in the Kerr Ising model |
| title_sort | quantum correlations in the kerr ising model |
| topic | Ising model Kerr nonlinearity quantum correlations coherent Ising machine |
| url | https://doi.org/10.1088/1367-2630/ab7255 |
| work_keys_str_mv | AT mjkewming quantumcorrelationsinthekerrisingmodel AT sshrapnel quantumcorrelationsinthekerrisingmodel AT gjmilburn quantumcorrelationsinthekerrisingmodel |