Miscible–immiscible transition and nonequilibrium scaling in two-component driven open condensate wires

Abstract

We investigate the steady state phase diagram of two-component driven open condensates (DOCs) in one dimension. We identify a miscible-immiscible transition which is predominantly driven by gapped density fluctuations and occurs upon increasing the inter-component dissipative coupling. Below the transition in the miscible phase, we find the effective long wavelength dynamics to be described by a twocomponent Kardar-Parisi-Zhang (KPZ) equation that belongs to the nonequilibrium universality class of the one-dimensional single-component KPZ equation at generic choices of parameters. Our results are relevant for different experimental realizations for two-component DOCs in exciton-polariton systems.

Topological Defects in Anisotropic Driven Open Systems

“…Due to this non-linear term, the vortex interaction is exponentially screened at large distances -thus, the ordered phase ceases to exist. This finding is particularly relevant, since the cKPZ equation is the long-wavelength description of a vast variety of systems, ranging from "polar active smectics" or "moving stripes" [11], to driven-dissipative condensates such as exciton-polaritons [3,[8][9][10][12][13][14][15][16][17][18][19], synchronization in arrays of limit-cycle oscillators [20], and limit-cycle phases that emerge from a Hopf bifurcation [21][22][23][24][25] such phases have attracted a lot of attention recently and could be coined dissipative time crystals [26].…”

“…θ is a compact variable, i.e., one that admits topological defects. In physical realizations, θ may be the phase field in driven-open condensates [3,[8][9][10][12][13][14][15][16][17][18], in limitcycle phases [21][22][23][24][25] or in oscillator arrays. In the latter case, Eq.…”

“…Conclusions.-We studied the effect of strong spatial anisotropy on the structure and dynamics of vortices in 2D out-of-equilibrium systems with U(1) symmetry. These are described by the caKPZ equation (1), and physical realizations include active systems [11], drivendissipative condensates [3,[8][9][10][12][13][14][15][16][17][18], oscillator arrays [20], and limit-cycle phases [21][22][23][24][25]. To address the thermodynamic stability of the ordered phase in which vortices exist only as tightly bound pairs, we considered the structure of single vortices.…”