Nonuniversal prefactors in correlation functions of 1D quantum liquids

Abstract

We develop a general approach to calculating "nonuniversal" prefactors in static and dynamic correlation functions of 1D quantum liquids at zero temperature, by relating them to the finite size scaling of certain matrix elements (form factors). This represents a new, powerful tool for extracting data valid in the thermodynamic limit from finite-size effects. As the main application, we consider weakly interacting spinless fermions with an arbitrary pair interaction potential, for which we perturbatively calculate certain prefactors in static and dynamic correlation functions. We also non-perturbatively evaluate prefactors of the long-distance behavior of correlation functions for the exactly solvable Lieb-Liniger model of 1D bosons.

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Cited by in corpus (50)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• The Quench Action
• Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
• Form factor approach to dynamical correlation functions in critical models
• Observing complex bound states in the spin-1/2 Heisenberg XXZ chain using local quantum quenches
• Finite temperature correlations in the Lieb-Liniger 1D Bose gas
• Form factor approach to the asymptotic behavior of correlation functions in critical models
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
• The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
• Long-distance asymptotic behaviour of multi-point correlation functions in massless quantum models
• Particle-hole pairs and density-density correlations in the Lieb-Liniger model
• Theory of superfluidity and drag force in the one-dimensional Bose gas
• Density form factors of the 1D Bose gas for finite entropy states
• Metastable criticality and the super Tonks-Girardeau gas
• Transverse spectral functions and Dzyaloshinskii-Moriya interactions in XXZ spin chains
• Thermodynamic bootstrap program for integrable QFT's: Form factors and correlation functions at finite energy density
• A systematic $1/c$-expansion of form factor sums for dynamical correlations in the Lieb-Liniger model
• Split Fermi seas in one-dimensional Bose fluids
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Projective phase measurements in one-dimensional Bose gases
• Real-time dynamics in the one-dimensional Hubbard model
• Correlation lengths of the repulsive one-dimensional Bose gas
• Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases
• The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
• Microscopic approach to a class of 1D quantum critical models
• Charge and Spin Fractionalization Beyond the Luttinger Liquid Paradigm
• Effective free-fermionic form factors and the XY spin chain
• Deviations from Off-Diagonal Long-Range Order in One-Dimensional Quantum Systems
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
• On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
• Magnetic excitations in the one-dimensional Heisenberg-Ising model with external fields and their experimental realizations
• Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
• On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
• The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large $N$
• Excitations in the Yang-Gaudin Bose gas
• Threshold singularities in the correlators of the one-dimensional models
• Spinon decay in the spin-1/2 Heisenberg chain with weak next nearest neighbour exchange
• Spinon dynamics in quantum integrable antiferromagnets
• Integrability breaking and bound states in Google's decorated XXZ circuits
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• One-body dynamical correlation function of Lieb-Liniger model at finite temperature
• Spin operator and spin states in Galilean covariant Fermi field theories
• On the universal relations for the prefactors in correlation functions of 1D quantum liquids
• Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
• One-body correlations and momentum distributions of trapped one-dimensional Bose gases at finite temperature
• Threshold singularities in the XXZ- spin chain
• Dynamic structure factor of quantum hard rods from exact form-factors