Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2505.14154 · Physical review. B./Physical review. B

Spin Meissner effect in systems of coupled polariton condensates

Igor Yu. Chestnov, Andrey Kudlis, Anton V. Nalitov, Ivan Andreevich Shelykh

Published Sep 5, 2025• 1 citation
arXivHTMLPDF

Abstract

We theoretically investigate the interplay between Zeeman splitting and TE-TM-induced spin-flip tunneling in coupled exciton-polariton condensates systems and its impact on the spin-Meissner effect. We demonstrate that although a single condensate exhibits the effect of full paramagnetic screening via spin-anisotropic interactions, the inter-site spin-flip tunneling can dramatically alter this behavior. The geometry of the system is shown to play a crucial role. In particular, in a dyad, the chemical potential reveals quadratic scaling with the magnetic field. In a triangle, the competition between Zeeman and TE-TM splittings produces a rich phase diagram that features asymmetric polarization states corresponding to both positive and negative magnetic susceptibility. In a square configuration, the symmetry of the network can restore the spin-Meissner effect, so that the condensate emission frequency becomes magnetic field independent in an extended parameter range. These findings not only shed light on the fundamental physics of polariton lattices but also suggest promising avenues for engineering robust spin-controlled photonic devices and polaritonic simulators.

DOI
10.1103/n6yp-15hh

Related papers

Polarized Nonequilibrium Bose-Einstein Condensates of Spinor Exciton Polaritons in a Magnetic Field

A. V. Larionov, V. D. Kulakovskiĭ, Sven Höfling +3 more

The effect of a magnetic field on a spinor exciton-polariton condensate has been investigated. A quenching of a polariton Zeeman splitting and an elliptical polarization of the condensate have been observed at low magnetic fields B<2 T. The effects are attributed to a competition between the magnetic field induced circular polarization buildup and the spin-anisotropic polariton-polariton interaction which favors a linear polarization. The sign of the circular polarization of the condensate emission at B<3 T is negative, suggesting that a dynamic condensation in the excited spin state rather than the ground spin state takes place in this magnetic field range. From about 2T on, the Zeeman splitting opens and from then on the slope of the circular polarization degree changes its sign. For magnetic fields larger than the 3 T, the upper spin state occupation is energetically suppressed and circularly polarized condensation takes place in the ground state.

Physical Review Letters•Dec 14, 2010•107 citations

Effects of TE–TM splitting on bistability and nonlinear spin dynamics in resonantly driven spinor exciton-polaritons

Szu-Cheng Cheng, Ting-Wei Chen

We investigate the influence of transverse-electric–transverse-magnetic (TE–TM) splitting on the nonlinear response and bistability of resonantly driven spinor exciton-polaritons in a spatially homogeneous microcavity system. Using a coupled exciton–photon mean-field model, we find that TE–TM splitting significantly modifies the bistability threshold, hysteresis width, and spin composition of the steady states. In particular, TE–TM splitting counteracts the spin imbalance imposed by elliptically polarized pumping, leading to nearly equal populations of the two spin components and strongly suppressed degree of circular polarization in the steady state. The pump momentum plays a crucial role through its connection to the curvature of the lower polariton dispersion, resulting in distinct nonlinear regimes with different switching thresholds and dynamical responses. The intermediate branch within the hysteresis loop is unstable but may exhibit slow instability growth rates, giving rise to long-lived transient states. These results clarify how TE–TM splitting reshapes bistability and nonlinear spin dynamics in polariton systems and provide insight into the controlling polariton switching behavior through cavity anisotropy and pump parameters.

Journal of the Optical Society of America B•May 1, 2026•0 citations

Giant spin Meissner effect in a nonequilibrium exciton-polariton gas

Mateusz Król, Rafał Mirek, D. Stephan +7 more

The suppression of Zeeman energy splitting due to spin-dependent interactions (the spin Meissner effect) was predicted to occur within a Bose-Einstein condensate. We report a clear observation of this effect in semimagnetic microcavities which exhibit a giant Zeeman energy splitting between two spin-polarized polariton states as high as 2 meV and demonstrate that a partial suppression of the energy difference occurs already in the uncondensed phase in a striking similarity to the behavior of up-critical superconductors in the fluctuation-dominated regime. These observations are explained quantitatively by a kinetic model accounting for both the condensed and uncondensed polaritons and taking into account the nonequilibrium character of the system.

arXiv:1807.06619•Physical review. B./Physical review. B•Mar 28, 2019•24 citations

Extended XY Model for Spinor Polariton Simulators

Andrey Kudlis, D. Novokreschenov, Ivan Andreevich Shelykh

The classic lattice XY model is one of the universal models of statistical mechanics appearing in a broad variety of optical and condensed matter systems. One of its possible realizations is a system of tunnel-coupled spinor polariton condensates, where phases of individual condensates play a role of the two- dimensional spins. We show that the account of the polarization degree of freedom of cavity polaritons adds a new twist to the problem, modifying in particular the structure of the ground state. We formulate the corresponding classical spin Hamiltonian, which couples phase and polarization dynamics, and consider several particular geometries, demonstrating the principal differences between the scalar and spinor cases. Possible analog of spin Meissner effect for coupled condensates is discussed.

arXiv:2412.09245•Physical Review Letters•Aug 25, 2025•1 citation

Interacting quantum fluid in a polariton Chern insulator

O. Bleu, Dmitry D. Solnyshkov, G. Malpuech

We study Bogoliubov excitations of a spinor Bose-Einstein condensate in a honeycomb periodic potential, in the presence of a Zeeman field and of a spin-orbit coupling specific for photonic systems, which is due to the energy splitting between TE and TM polarized eigenstates. We also consider spin-anisotropic interactions typical for cavity polaritons. We show that the nontrivial topology of the single-particle case is also present for the interacting system. At low condensate density, the topology of the single-particle bands is transferred to the bogolon dispersion. At a critical value, the self-induced Zeeman field at the Dirac points of the dispersion becomes equal to the real Zeeman field and then exceeds it. The gap is thus closed and then reopened with inverted Chern numbers. This change of topology is accompanied by a change of the propagation directions of the one-way edge modes. This result demonstrates that the chirality of a topological insulator can be reversed by collective effects in a Bose-Einstein condensate.

arXiv:1511.07758•Physical review. B./Physical review. B•Feb 26, 2016•82 citations

Nonequilibrium spinor exciton-polariton condensates in a magnetic field

Ting-Wei Chen, Szu-Cheng Cheng

Abstract A complete-nonequilibrium model is proposed to investigate spinor exciton-polariton condensates (SEPCs) in a magnetic field. Due to the Zeeman splitting (ZS), the loss rates of two spin components in a magnetic field are distinct and affected by the magnetic field. Therefore, the individual spin component of a SEPC has its own threshold pump power. We investigate the ZS and degree of circular polarization of the SEPC as a function of the excitation power and magnetic field. Above both spin-dependent threshold pump powers, we find an increasing degree of circular polarization with the magnetic field and a quenching of the ZS below a critical strength of the magnetic field. The ZS of a SEPC shows a reverse sign and its magnitude is increasing significantly compared to the uncondensed exciton-polartion ZS. The effect of a magnetic field on excitation spectra of SEPCs are also investigated. We find that the excitation dispersions are Bogoliubov excitations if the pump power is low. The nonequilibrium fluctuations in a SEPC are reduced when a magnetic field is applied.

Physica Scripta•Feb 15, 2024•1 citation
We theoretically investigate the interplay between Zeeman splitting and TE-TM-induced spin-flip tunneling in coupled exciton-polariton condensates systems and its impact on the spin-Meissner effect. We demonstrate that although a single condensate exhibits the effect of full paramagnetic screening via spin-anisotropic interactions, the inter-site spin-flip tunneling can dramatically alter this behavior. The geometry of the system is shown to play a crucial role. In particular, in a dyad, the chemical potential reveals quadratic scaling with the magnetic field. In a triangle, the competition between Zeeman and TE-TM splittings produces a rich phase diagram that features asymmetric polarization states corresponding to both positive and negative magnetic susceptibility. In a square configuration, the symmetry of the network can restore the spin-Meissner effect, so that the condensate emission frequency becomes magnetic field independent in an extended parameter range. These findings not only shed light on the fundamental physics of polariton lattices but also suggest promising avenues for engineering robust spin-controlled photonic devices and polaritonic simulators.
The effect of a magnetic field on a spinor exciton-polariton condensate has been investigated. A quenching of a polariton Zeeman splitting and an elliptical polarization of the condensate have been observed at low magnetic fields B<2 T. The effects are attributed to a competition between the magnetic field induced circular polarization buildup and the spin-anisotropic polariton-polariton interaction which favors a linear polarization. The sign of the circular polarization of the condensate emission at B<3 T is negative, suggesting that a dynamic condensation in the excited spin state rather than the ground spin state takes place in this magnetic field range. From about 2T on, the Zeeman splitting opens and from then on the slope of the circular polarization degree changes its sign. For magnetic fields larger than the 3 T, the upper spin state occupation is energetically suppressed and circularly polarized condensation takes place in the ground state.
We investigate the influence of transverse-electric–transverse-magnetic (TE–TM) splitting on the nonlinear response and bistability of resonantly driven spinor exciton-polaritons in a spatially homogeneous microcavity system. Using a coupled exciton–photon mean-field model, we find that TE–TM splitting significantly modifies the bistability threshold, hysteresis width, and spin composition of the steady states. In particular, TE–TM splitting counteracts the spin imbalance imposed by elliptically polarized pumping, leading to nearly equal populations of the two spin components and strongly suppressed degree of circular polarization in the steady state. The pump momentum plays a crucial role through its connection to the curvature of the lower polariton dispersion, resulting in distinct nonlinear regimes with different switching thresholds and dynamical responses. The intermediate branch within the hysteresis loop is unstable but may exhibit slow instability growth rates, giving rise to long-lived transient states. These results clarify how TE–TM splitting reshapes bistability and nonlinear spin dynamics in polariton systems and provide insight into the controlling polariton switching behavior through cavity anisotropy and pump parameters.
The suppression of Zeeman energy splitting due to spin-dependent interactions (the spin Meissner effect) was predicted to occur within a Bose-Einstein condensate. We report a clear observation of this effect in semimagnetic microcavities which exhibit a giant Zeeman energy splitting between two spin-polarized polariton states as high as 2 meV and demonstrate that a partial suppression of the energy difference occurs already in the uncondensed phase in a striking similarity to the behavior of up-critical superconductors in the fluctuation-dominated regime. These observations are explained quantitatively by a kinetic model accounting for both the condensed and uncondensed polaritons and taking into account the nonequilibrium character of the system.
The classic lattice XY model is one of the universal models of statistical mechanics appearing in a broad variety of optical and condensed matter systems. One of its possible realizations is a system of tunnel-coupled spinor polariton condensates, where phases of individual condensates play a role of the two- dimensional spins. We show that the account of the polarization degree of freedom of cavity polaritons adds a new twist to the problem, modifying in particular the structure of the ground state. We formulate the corresponding classical spin Hamiltonian, which couples phase and polarization dynamics, and consider several particular geometries, demonstrating the principal differences between the scalar and spinor cases. Possible analog of spin Meissner effect for coupled condensates is discussed.
We study Bogoliubov excitations of a spinor Bose-Einstein condensate in a honeycomb periodic potential, in the presence of a Zeeman field and of a spin-orbit coupling specific for photonic systems, which is due to the energy splitting between TE and TM polarized eigenstates. We also consider spin-anisotropic interactions typical for cavity polaritons. We show that the nontrivial topology of the single-particle case is also present for the interacting system. At low condensate density, the topology of the single-particle bands is transferred to the bogolon dispersion. At a critical value, the self-induced Zeeman field at the Dirac points of the dispersion becomes equal to the real Zeeman field and then exceeds it. The gap is thus closed and then reopened with inverted Chern numbers. This change of topology is accompanied by a change of the propagation directions of the one-way edge modes. This result demonstrates that the chirality of a topological insulator can be reversed by collective effects in a Bose-Einstein condensate.
Abstract A complete-nonequilibrium model is proposed to investigate spinor exciton-polariton condensates (SEPCs) in a magnetic field. Due to the Zeeman splitting (ZS), the loss rates of two spin components in a magnetic field are distinct and affected by the magnetic field. Therefore, the individual spin component of a SEPC has its own threshold pump power. We investigate the ZS and degree of circular polarization of the SEPC as a function of the excitation power and magnetic field. Above both spin-dependent threshold pump powers, we find an increasing degree of circular polarization with the magnetic field and a quenching of the ZS below a critical strength of the magnetic field. The ZS of a SEPC shows a reverse sign and its magnitude is increasing significantly compared to the uncondensed exciton-polartion ZS. The effect of a magnetic field on excitation spectra of SEPCs are also investigated. We find that the excitation dispersions are Bogoliubov excitations if the pump power is low. The nonequilibrium fluctuations in a SEPC are reduced when a magnetic field is applied.