Observation of a generalized Gibbs ensemble in photonics
arXiv:2503.16526 · doi:10.1103/xz2w-hndp
Abstract
In generic classical and quantum many-body systems, where typically energy and particle number are the only conserved quantities, stationary states are described by thermal equilibrium. In contrast, integrable systems showcase an infinite hierarchy of conserved quantities that inhibits conventional thermalization, forcing relaxation to a Generalized Gibbs Ensemble (GGE) -- a concept first introduced in quantum many-body physics. In this study, we provide experimental evidence for the emergence of a GGE in a photonic system. By investigating partially coherent waves propagating in a normal dispersion optical fiber, governed by the one-dimensional defocusing nonlinear Schroedinger equation, we directly measure the density of states of the spectral parameter (rapidity) to confirm the time invariance of the full set of conserved charges. We also observe the relaxation of optical power statistics to the GGE's theoretical prediction, obtained using the experimentally measured density of states. These complementary measurements unambiguously establish the formation of a GGE in our photonic platform, highlighting its potential as a powerful tool for probing many-body integrability and bridging classical and quantum integrable systems.
13 pages, 4 figures
References in corpus (47)
- Nonequilibrium dynamics of closed interacting quantum systems
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Quantum Quench in the Transverse Field Ising Chain
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Experimental Observation of a Generalized Gibbs Ensemble
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Dispersive shock waves and modulation theory
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Quasilocal charges in integrable lattice systems
- Soliton gases and generalized hydrodynamics
- Direct observation of Rogue Waves in optical turbulence using Time Microscopy
- An introduction to integrable techniques for one-dimensional quantum systems
- Observations of density fluctuations in an elongated Bose gas: ideal gas and quasi-condensate regimes
- Kinetic equation for a dense soliton gas
- Generalized hydrodynamics in strongly interacting 1D Bose gases
- Validity of the GGE for quantum quenches from interacting to noninteracting models
- Analytic results for a quantum quench from free to hard-core one dimensional bosons
- Dynamics of hard rods with initial domain wall state
- Integrable turbulence and formation of rogue waves
- Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
- Probing three-body correlations in a quantum gas using the measurement of the third moment of density fluctuations
- Observation of Dynamical Fermionization
- Correlation functions and transport coefficients in generalised hydrodynamics
- Bound state soliton gas dynamics underlying the noise-induced modulational instability
- Exact large-scale correlations in integrable systems out of equilibrium
- Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
- Thermalization and pseudolocality in extended quantum systems
- String-charge duality in integrable lattice models
- Nonlinear spectral synthesis of soliton gas in deep-water surface gravity waves
- Statistical properties of nonlinear stage of modulation instability in fiber optics
- Equilibration Properties of Classical Integrable Field Theories
- Nonlinear random optical waves: integrable turbulence, rogue waves and intermittency
- From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
- Direct observation of hydrodynamization and local prethermalization
- Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation
- Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
- Rapidity and momentum distributions of 1D dipolar quantum gases
- Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
- Nonlinear propagation of an optical speckle field
- Statistics of extreme events in integrable turbulence
- Experimental study of integrable turbulence in shallow water
- Probing the local rapidity distribution of a 1D Bose gas
- Landau-Lifschitz magnets: exact thermodynamics and transport