Polariton Chimeras: Bose-Einstein Condensates with Intrinsic Chaoticity and Spontaneous Long-Range Ordering

Abstract

The system of cavity polaritons driven by a plane electromagnetic wave is found to undergo the spontaneous breaking of spatial symmetry, which results in a lifted phase locking with respect to the driving field and, consequently, in the possibility of internal ordering. In particular, periodic spin and intensity patterns arise in polariton wires; they exhibit strong long-range order and can serve as media for signal transmission. Such patterns have the properties of dynamical chimeras: they are formed spontaneously in perfectly homogeneous media and can be partially chaotic. The reported new mechanism of chimera formation requires neither time-delayed feedback loops nor nonlocal interactions.

Nonlinear optics of coupled nanophotonic reasonators

“…Scattering with the excitonic reservoir and through intra-branch scattering, polaritons show rich oscillating spin precession in the photoluminescence (PL) distribution in real space. Such e↵ects are also reported in many recent papers [174,217,218].…”

“…2.2 [174]. Another work also shows that alternating patterns of spin polarization may form spontaneously under near-resonant excitation, o↵ering a further alternative for engineering spin-dependent coupling for our lattice [218]. In the tight-binding approximation with nearest-neighbor coupling, the Hamiltonian can be written aŝ…”

“…While the aforementioned works are promising for polaritonic devices in principle, a complication in applying the aforementioned phenomena is that they have been found under di↵erent conditions in di↵erent parameter ranges. Here, we consider whether solitons, stable structures, and evolving patterns can co-exist under the same conditions, together with the analogues of a variety of other solitonrelated structures studied separately in the literature, including: oscillating solitons and patterns [106,218,317]; guns [318] and soliton trains [99,103,195]; soliton explosions [102]; and backward radiation emitting solitons [196]. We also aim for polariton solitons and related structures to exist indefinitely [100,319], beyond the finite polariton lifetime, and survive in the presence of noise and disorder.…”

Critical dynamics and tree-like spatiotemporal patterns in exciton-polariton condensates

“…It was pointed out that this regime can be characterized by interesting chaotic dynamics with unusual momentum distribution of fluctuations 16 . Note that chaotic evolution has been recently predicted to occur also in a polariton model with resonant plane wave driving 17,18 .…”

Partial quantum revivals of localized condensates in distorted lattices

“…In particular, polariton condensates in FBs possess a rather short coherence length, and it is unclear if this is the consequence of a disorder, or condensate fragmentation is a generic property of out-of-equilibrium systems loaded in a FB. However, a periodic long-range order can appear spontaneously in resonantly-driven cavities [21]. Moreover, condensed out-of-equilibrium particles should not necessarily occupy the lowest energy state (typically the Γ point).…”