Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
Open accessAbstract
We investigate the appearance of spontaneous coherence in the parametric emission from planar semiconductor microcavities in the strong coupling regime. Calculations are performed by means of a quantum Monte Carlo technique based on the Wigner representation of the coupled exciton and cavity-photon fields. The numerical results are interpreted in terms of a nonequilibrium phase transition occurring at the parametric oscillation threshold: below the threshold, the signal emission is incoherent, and both the first and the second-order coherence functions have a finite correlation length which becomes macroscopic as the threshold is approached. Above the threshold, the emission is instead phase coherent over the whole two-dimensional sample and intensity fluctuations are suppressed. Similar calculations for quasi-one-dimensional microcavities show that in this case the phase coherence of the signal emission has a finite extension even above the threshold, while intensity fluctuations are suppressed.
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Within the truncated Wigner approximation, effects beyond mean-field can be described by adding a stochastic white noise term to the right-hand side of the equation of motion (39).
“Within a semiclassical approach, effects beyond the mean-field can be described within the so-called truncated Wigner approximation [55,79] by adding a stochastic white noise term ξ(r ∥ , t ) on the right-hand side of the motion equation ( 39)”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [79]
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Laserlight ? first example of a second-order phase transition far away from thermal equilibrium
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Non-equilibrium Bose–Einstein condensation in photonic systems
Bloch, J., Carusotto, I., & Wouters, M. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00464-0 · Cited by 105 · see citing works
Self-citationAnalog Hawking radiation from an acoustic black hole in a flowing polariton superfluid
Gerace, D., & Carusotto, I. (2012) · Physical Review B · doi:10.1103/physrevb.86.144505 · Cited by 88 · see citing works
Self-citationObservation of the diffusive Nambu–Goldstone mode of a non-equilibrium phase transition
Claude, F., Jacquet, M. J., Glorieux, Q., Wouters, M., Giacobino, E., Carusotto, I., & Bramati, A. (2025) · Nature Physics · doi:10.1038/s41567-025-02902-z · Cited by 7 · see citing works
“https://doi.org/10.1038/s41567-025-02902-z of the coherently pumped mode at k P , the dynamical equations of the parametric oscillator are invariant under a simultaneous and opposite shift of the signal and idler phases 14,23,26,28 .”
InfluentialSelf-citationHow to exploit driving and dissipation to stabilize and manipulate quantum many-body states
Carusotto, I. (2025) · Comptes Rendus. Physique · doi:10.5802/crphys.258 · Cited by 5 · see citing works
“While this is often sufficient to get physically reliable predictions for the field correlation functions [58], it is important to note that the approximation of truncating higher-order noise terms [64] that underlies (45) typically loses accuracy when strong interactions and/or very…”
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- Authors
- Carusotto, I., & Ciuti, C.
- Affiliations
- University of Trento (IT)
- École Normale Supérieure - PSL (FR)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2005-09-21
- Volume
- 72
- Issue
- 12
- Pages
- 125335
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1987198007
- Cited by
- 111
- References
- 2
- Citations by year
- 2026: 2 · 2025: 7 · 2023: 5 · 2022: 9 · 2021: 8 · 2020: 7 · 2019: 4 · 2018: 5 · 2017: 7 · 2016: 7 · 2015: 4 · 2014: 5 · 2013: 5 · 2012: 6
- FWCI
- 3.28
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- Iris (University of Trento) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Semiconductor Quantum Structures and Devices
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- microcavity polaritons, spontaneous coherence, semiconductor microcavities, strong coupling, nonequilibrium phase transitions, second-order coherence, intensity fluctuations, Wigner representation
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