Quantum correlation in degenerate optical parametric oscillators with mutual injections
Abstract
We theoretically and numerically study the quantum dynamics of two degenerate optical parametric oscillators with mutual injections. The cavity mode in the optical coupling path between the two oscillator facets is explicitly considered. Stochastic equations for the oscillators and mutual injection path based on the positive P representation are derived. The system of two gradually pumped oscillators with out-of-phase mutual injections is simulated, and its quantum state is investigated. When the incoherent loss of the oscillators other than the mutual injections is small, the squeezed quadratic amplitudes p̂ in the oscillators are positively correlated near the oscillation threshold. It indicates finite quantum correlation, estimated via Gaussian quantum discord, and the entanglement between the intracavity subharmonic fields. When the loss in the injection path is low, each oscillator around the phase transition point forms macroscopic superposition even under a small pump noise. It suggests that the squeezed field stored in the low-loss injection path weakens the decoherence in the oscillators.
Additional Information
© 2015 American Physical Society. (Received 30 May 2015; published 16 October 2015) We thank H. Tajima, Y. Nakamura, and Z. Wang for fruitful discussions. Also, we thank S. Pirandola and Y. Huang for their personal communications and comments about this paper. This work is supported by JST through its ImPACT program. K.T. acknowledges Grant-in-Aid for JSPS Fellows.Attached Files
Published - PhysRevA.92.043821.pdf
Accepted Version - 1506.00135
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Additional details
- Eprint ID
- 86974
- Resolver ID
- CaltechAUTHORS:20180611-145032709
- Council of Science, Technology and Innovation (Japan)
- Japan Society for the Promotion of Science (JSPS)
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2018-06-11Created from EPrint's datestamp field
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2021-11-15Created from EPrint's last_modified field