Exact Spectral Function of One-Dimensional Bose Gases
arXiv:2209.15221 · doi:10.1093/nsr/nwaf294
Abstract
Exactly solved models provide rigorous understanding of many-body phenomena in strongly correlated systems. In this article, we report a breakthrough in uncovering universal many-body correlated properties of quantum integrable Lieb-Liniger model. We calculate exactly the dynamical correlation functions by computing the form factor through a newly developed method, by which we are capable of calculating all possible "relative excitations" over the ground state or a finite temperature state at a high precision. Consequently, full spectral functions obtained for the model manifests the unique power-law singularity behaviour at the spectral threshold, confirming the validity of nonlinear Luttinger liquid theory. Our method advances the theory of dynamical correlation functions with high precision towards the thermodynamic limit, and is capable of benchmarking experimental observation of such novel correlated properties.
8 pages, 3 figures, Supplementary Material
References in corpus (34)
- Many-Body Physics with Ultracold Gases
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- Using photoemission spectroscopy to probe a strongly interacting Fermi gas
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Finite-temperature transport in one-dimensional quantum lattice models
- Hydrodynamic Diffusion in Integrable Systems
- Soliton gases and generalized hydrodynamics
- Pair correlations in a finite-temperature 1D Bose gas
- Universal theory of nonlinear Luttinger liquids
- Dynamical density-density correlations in the one-dimensional Bose gas
- Bragg spectroscopy of a strongly interacting Fermi gas
- Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
- One-particle dynamical correlations in the one-dimensional Bose gas
- Form factor approach to dynamical correlation functions in critical models
- Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
- Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
- Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
- Finite temperature correlations in the Lieb-Liniger 1D Bose gas
- Expectation Values in the Lieb-Liniger Bose Gas
- Observation of Quantum Criticality and Luttinger Liquid in One-dimensional Bose Gases
- Correlation functions of integrable models: a description of the ABACUS algorithm
- Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
- Spin-charge separation in a 1D Fermi gas with tunable interactions
- Emergence of hydrodynamic spatial long-range correlations in nonequilibrium many-body systems
- Three-body local correlation function in the Lieb-Liniger model: bosonization approach
- Non-linear fluctuating hydrodynamics for KPZ scaling in isotropic spin chains
- Higher-order local and non-local correlations for 1D strongly interacting Bose gas
- Observation of universal dissipative dynamics in strongly correlated quantum gas
- Exact spectral function of a Tonks-Girardeau gas in a lattice
- Exact results of dynamical structure factor of Lieb-Liniger model
- Low-density limit of dynamical correlations in the Lieb-Liniger model
- One-body dynamical correlation function of Lieb-Liniger model at finite temperature