Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions

DOI10.1088/1742-5468/ab7751zbMath1457.82231arXiv1911.06133OpenAlexW3016573679MaRDI QIDQ5135114

Pierre Le Doussal, Alexandre Krajenbrink, Thimothée Thiery, Jacopo de Nardis

Publication date: 19 November 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06133

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Many-body theory; quantum Hall effect (81V70)

Related Items (7)

Stationary measures of the KPZ equation on an interval from Enaud–Derrida’s matrix product ansatz representation ⋮ Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case ⋮ The half-space Airy stat process ⋮ Time-time covariance for last passage percolation in half-space ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space ⋮ Boundary current fluctuations for the half‐space ASEP and six‐vertex model ⋮ Lyapunov exponents of the half-line SHE

Cites Work

• Height fluctuations for the stationary KPZ equation
• Exact formulas for random growth with half-flat initial data
• Fluctuations of TASEP and LPP with general initial data
• Solving the KPZ equation
• Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
• Directed polymers and the quantum Toda lattice
• Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
• Stationary measures for two dual families of finite and zero temperature models of directed polymers on the square lattice
• Orthogonality of Bethe ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove
• Random-walk in beta-distributed random environment
• Fluctuations of the one-dimensional polynuclear growth model in half-space
• Exact height distributions for the KPZ equation with narrow wedge initial condition
• Scaling for a one-dimensional directed polymer with boundary conditions
• Yang's system of particles and Hecke algebras
• Reunion probabilities of \(N\) one-dimensional random walkers with mixed boundary conditions
• Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
• Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
• Renormalization fixed point of the KPZ universality class
• The strict-weak lattice polymer
• A KPZ cocktail-shaken, not stirred\dots: Toasting 30 years of kinetically roughened surfaces
• A Fredholm determinant representation in ASEP
• Asymptotics in ASEP with step initial condition
• Level-spacing distributions and the Airy kernel
• Scale invariance of the PNG droplet and the Airy process
• Limiting distributions for a polynuclear growth model with external sources
• Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process
• Pfaffian Schur processes and last passage percolation in a half-quadrant
• Directed random polymers via nested contour integrals
• The KPZ limit of ASEP with boundary
• Completeness of the Bethe ansatz for an open \(q\)-Boson system with integrable boundary interactions
• Brownian analogues of Burke's theorem.
• On orthogonal and symplectic matrix ensembles
• The Bose gas and asymmetric simple exclusion process on the half-line
• Stationary correlations for the 1D KPZ equation
• Deriving boundary \(S\) matrices.
• Shape fluctuations and random matrices
• Tropical combinatorics and Whittaker functions
• Macdonald processes
• Tracy-widom asymptotics for a random polymer model with gamma-distributed weights
• Completeness of the Bethe ansatz on Weyl alcoves
• BOUND STATE BOUNDARY S MATRIX OF THE SINE-GORDON MODEL
• Two-point free energy distribution function in (1+1) directed polymers
• On the equal time two-point distribution of the one-dimensional KPZ equation by replica
• The propagator of the attractive delta-Bose gas in one dimension
• On the integrability of zero-range chipping models with factorized steady states
• The quantum nonlinear Schrödinger model with point-like defect
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• Bethe ansatz solution for one-dimensional directed polymers in random media
• The one-dimensional KPZ equation and the Airy process
• Bethe ansatz replica derivation of the GOE Tracy–Widom distribution in one-dimensional directed polymers with free endpoints
• The KPZ equation with flat initial condition and the directed polymer with one free end
• Log-gamma directed polymer with fixed endpoints via the replica Bethe Ansatz
• Crossover from droplet to flat initial conditions in the KPZ equation from the replica Bethe ansatz
• Interaction quench in a Lieb–Liniger model and the KPZ equation with flat initial conditions
• Current fluctuations and large deviations for periodic TASEP on the relaxation scale
• Tail of the two-time height distribution for KPZ growth in one dimension
• Bethe ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
• Dynamic Scaling of Growing Interfaces
• On integrable directed polymer models on the square lattice
• The Bethe Wavefunction
• Limit process of stationary TASEP near the characteristic line
• On the numerical evaluation of Fredholm determinants
• Completely integrable systems and groups generated by reflections
• Surface excitations and surface energy of the antiferromagneticXXZchain by the Bethe ansatz approach
• On the distribution of the length of the longest increasing subsequence of random permutations
• The nonlinear Schrödinger equation on the half line
• Boundary conditions for integrable quantum systems
• Current fluctuations for the totally asymmetric simple exclusion process
• Correlation functions of the openXXZchain: I
• Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques
• Dynamics of the attractive 1D Bose gas: analytical treatment from integrability
• Study of Exactly Soluble One-Dimensional N-Body Problems
• Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class
• Point-to-line polymers and orthogonal Whittaker functions
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum
• Surface free energy for systems with integrable boundary conditions
• The crossover regime for the weakly asymmetric simple exclusion process
• Unnamed Item

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