Kardar–Parisi–Zhang universality in a one-dimensional polariton condensate

Fontaine, Quentin; Squizzato, Davide; Baboux, Florent; Amelio, Ivan; Lemaı̂tre, A.; Morassi, Martina; Sagnes, I.; Gratiet, L. Le; Harouri, A.; Wouters, Michiel; Carusotto, Iacopo; Amo, A.; Richard, Maxime; Minguzzi, Anna; Canet, Léonie; Ravets, Sylvain; Bloch, J.

doi:10.1038/s41586-022-05001-8

Cited by 44 publications

(19 citation statements)

References 40 publications

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“…2c) is not the global one. The inverted dispersion can also eliminate instabilities of exciton-polariton condensates 26 , which can, for example, enable studies of the Kardar-Parisi-Zhang phase in quantum systems without the complexities of an underlying lattice structure 42 .…”

Section: Discussionmentioning

confidence: 99%

Negative-mass exciton polaritons induced by dissipative light-matter coupling in an atomically thin semiconductor

et al. 2023

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Dispersion engineering is a powerful and versatile tool that can vary the speed of light signals and induce negative-mass effects in the dynamics of particles and quasiparticles. Here, we show that dissipative coupling between bound electron-hole pairs (excitons) and photons in an optical microcavity can lead to the formation of exciton polaritons with an inverted dispersion of the lower polariton branch and hence, a negative mass. We perform direct measurements of the anomalous dispersion in atomically thin (monolayer) WS2 crystals embedded in planar microcavities and demonstrate that the propagation direction of the negative-mass polaritons is opposite to their momentum. Our study introduces the concept of non-Hermitian dispersion engineering for exciton polaritons and opens a pathway for realising new phases of quantum matter in a solid state.

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Section: Discussionmentioning

confidence: 99%

Negative-mass exciton polaritons induced by dissipative light-matter coupling in an atomically thin semiconductor

et al. 2023

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“…Even though we will focus on the case of a continuous wire, the main results also apply to discrete lattices, e.g. the Lieb arrays of polariton micropillars considered in [9] as well to the edge modes of 2D topological lasers [15? ]. Assuming that the reservoir of carriers can be adiabatically eliminated, the field dynamics is described by the stochastic complex Ginzburg-Landau equation (CGLE)…”

Section: Kpz Universality In One-dimensional Non-equilibrium Condensatesmentioning

confidence: 99%

“…In this work we study the linewidth of a drivendissipative 1D (quasi-)condensate. Experimentally rel-evant platforms to investigate this physics include lasing in 1D spatially extended systems such as photonic [6] or polariton [7] wires, discrete arrays of polariton micropillars [8,9] or VCSELs [10,11], or even the edge modes of 2D topological lasers [12][13][14][15]. In all these systems, a natural and technologically very relevant observable is the emission linewidth, namely the spectral width of the light emitted from a given point of the device.…”

Section: Introductionmentioning

confidence: 99%

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Kardar-Parisi-Zhang universality in the linewidth of non-equilibrium 1D quasi-condensates

Amelio¹,

Chiocchetta²,

Carusotto³

2023

Preprint

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We investigate the finite-size origin of the emission linewidth of a spatially-extended, onedimensional non-equilibrium condensate. We show that the well-known Schawlow-Townes scaling of laser theory, possibly including the Henry broadening factor, only holds for small system sizes, while in larger systems the linewidth displays a novel scaling determined by Kardar-Parisi-Zhang physics. This is shown to lead to an opposite dependence of the linewidth on the optical nonlinearity in the two cases. We then study how sub-universal properties of the phase dynamics such as the higher moments of the phase-phase correlator are affected by the finite size and discuss the relation between the field coherence and the exponential of the phase-phase correlator. We finally identify a configuration with enhanced open boundary conditions, which supports a spatially uniform steady-state and facilitates experimental studies of the linewidth scaling.

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“…Beyond the eponym KPZ equation, it has been found in a variety of models describing growing interfaces such as the ballistic deposition model [5], the Eden model [6,7], or the restricted solid-on-solid model [8]. Perhaps more surprisingly, in recent years, it has also been discovered in a variety of quantum phenomena such as the growth of entanglement entropy in random unitary circuits [9], stochastic conformal field theory [10], noisy fermions [11], and transport properties of dipolar spin ensembles [12] and integrable spin chains [13][14][15][16].…”

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confidence: 99%

Kardar-Parisi-Zhang Physics and Phase Transition in a Classical Single Random Walker under Continuous Measurement

Jin

Martin

2022

Phys. Rev. Lett.

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We introduce and study a new model consisting of a single classical random walker undergoing continuous monitoring at rate γ on a discrete lattice. Although such a continuous measurement cannot affect physical observables, it has a nontrivial effect on the probability distribution of the random walker. At small γ, we show analytically that the time evolution of the latter can be mapped to the stochastic heat equation. In this limit, the width of the log-probability thus follows a Family-Vicsek scaling law, N α fðt=N α=β Þ, with roughness and growth exponents corresponding to the Kardar-Parisi-Zhang (KPZ) universality class, i.e., α 1D KPZ ¼ 1=2 and β 1D KPZ ¼ 1=3, respectively. When γ is increased outside this regime, we find numerically in 1D a crossover from the KPZ class to a new universality class characterized by exponents α 1DM ≈ 1 and β 1D M ≈ 1.4. In 3D, varying γ beyond a critical value γ c M leads to a phase transition from a smooth phase that we identify as the Edwards-Wilkinson class to a new universality class with α 3D M ≈ 1.

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Kardar–Parisi–Zhang universality in a one-dimensional polariton condensate

Cited by 44 publications

References 40 publications

Negative-mass exciton polaritons induced by dissipative light-matter coupling in an atomically thin semiconductor

Negative-mass exciton polaritons induced by dissipative light-matter coupling in an atomically thin semiconductor

Kardar-Parisi-Zhang universality in the linewidth of non-equilibrium 1D quasi-condensates

Kardar-Parisi-Zhang Physics and Phase Transition in a Classical Single Random Walker under Continuous Measurement

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