From GPE to KPZ: finite temperature dynamical structure factor of the 1D Bose gas

Abstract

We study the finite temperature dynamical structure factor $S(k,\omega )$ of a 1D Bose gas using numerical simulations of the Gross--Pitaevskii equation appropriate to a weakly interacting system. The lineshape of the phonon peaks in $S(k,\omega )$ has a width $\propto |k{|}^{3/2}$ at low wavevectors. This anomalous width arises from resonant three-phonon interactions, and reveals a remarkable connection to the Kardar--Parisi--Zhang universality class of dynamical critical phenomena.

References in corpus (5)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Exact scaling functions for one-dimensional stationary KPZ growth
• Exact results for anomalous transport in one dimensional Hamiltonian systems
• Self-Consistent Mode-Coupling Approach to 1D Heat Transport
• Hydrodynamics of Superfluid Helium in a Single Nanohole

Cited by in corpus (50)

• Non-Hermitian Physics
• Nonlinear fluctuating hydrodynamics for anharmonic chains
• Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
• Dynamic Correlators of Fermi-Pasta-Ulam Chains and Nonlinear Fluctuating Hydrodynamics
• Diffusive hydrodynamics from integrability breaking
• Spontaneous coherence in spatially extended photonic systems: Non-Equilibrium Bose-Einstein condensation
• Kardar-Parisi-Zhang universality from soft gauge modes
• Kardar-Parisi-Zhang Scaling for an Integrable Lattice Landau-Lifshitz Spin Chain
• Nonlinear Fluctuating Hydrodynamics in One Dimension: the Case of Two Conserved Fields
• Kardar-Parisi-Zhang physics in integrable rotationally symmetric dynamics on discrete space-time lattice
• Universality in driven open quantum matter
• Non-Equilibrium Universality in the Heating Dynamics of Interacting Luttinger Liquids
• Equilibrium time-correlation functions for one-dimensional hard-point systems
• Fluctuating hydrodynamics for a discrete Gross-Pitaevskii equation: mapping to Kardar-Parisi-Zhang universality class
• From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
• The spatial coherence of weakly interacting one-dimensional non-equilibrium Bosonic quantum fluids
• Family-Vicsek Scaling of Roughness Growth in a Strongly Interacting Bose Gas
• Long-lived non-thermal states realized by atom losses in one-dimensional quasi-condensates
• Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium
• From stochastic spin chains to quantum Kardar-Parisi-Zhang dynamics
• High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging KPZ-scaling in the zero-magnetization limit
• Nonlinear Fluctuating Hydrodynamics for the Classical XXZ Spin Chain
• Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
• Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation
• Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain
• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
• Kinetics of mobile impurities and correlation functions in one-dimensional superfluids at finite temperature
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• KPZ equation with short-range correlated noise: emergent symmetries and non-universal observables
• Tail of the two-time height distribution for KPZ growth in one dimension
• Non-universality of front fluctuations for compact colonies of non-motile bacteria
• Delta-Bose gas on a half-line and the KPZ equation: boundary bound states and unbinding transitions
• Strong-coupling phases of the anisotropic Kardar-Parisi-Zhang equation
• Dynamic criticality far-from-equilibrium: one-loop flow of Burgers-Kardar-Parisi-Zhang systems with broken Galilean invariance
• Kinetic Theory for Interacting Luttinger Liquids
• Thermal Transport in One Dimensional Electronic Fluid
• Perturbative solution for the spectral gap of the weakly asymmetric exclusion process
• Fluctuating hydrodynamics for a chain of nonlinearly coupled rotators
• KPZ fluctuations in finite volume
• Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• The influence of interaction between quasiparticles on parametric resonance process in Bose-Einstein condensates
• Spin correlation functions and quasiparticle decay
• Dynamical regimes of finite temperature discrete nonlinear Schrödinger chain
• From Kardar-Parisi-Zhang scaling to soliton proliferation in Josephson junction arrays
• Emergent tilt order in Dirac polymer liquids
• Superdiffusion resilience in Heisenberg Chains with 2D interactions on a quantum processor
• Anomalous Landau damping and algebraic thermalization in two-dimensional superfluids far from equilibrium
• Exact results, transient generalized Gibbs ensembles, and analytic approximations for spacetime propagators of massive, real scalar fields in one spatial dimension
• Current fluctuations for the second class particle : joint statistics