Quantum Inverse Scattering Method and Correlation Functions

Abstract

The book contain detailed explanation of Bethe Ansatz, Quantum Inverse Scattering Method and Algebraic Bether Ansatz as well. Main Models are Nonlinear Schrodinger equation (one dimensional Bose gas), Sine-Gordon and Thiring models. Heisenberg Antiferromagnet and Hubbard models. It is explained in detail, how to calculate correlation functions.

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Cited by in corpus (570)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• One-Dimensional Fermi liquids
• Time evolution of local observables after quenching to an integrable model
• Transport and conservation laws
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• How Algebraic Bethe Ansatz works for integrable model
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation
• Entanglement Entropy dynamics in Heisenberg chains
• On the Field-Induced Gap in Cu Benzoate and Other S=1/2 Antiferromagnets
• Solution for an interaction quench in the Lieb-Liniger Bose gas
• Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions
• Entanglement in XY Spin Chain
• Remarks on the notion of quantum integrability
• Yang-Yang thermodynamics on an atom chip
• Stability and phase coherence of trapped 1D Bose gases
• Pair correlations in a finite-temperature 1D Bose gas
• Families of quasi-local conservation laws and quantum spin transport
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Nonequilibrium electron transport using the density matrix renormalization group
• The Quench Action
• What is an integrable quench?
• Crystallization of strongly interacting photons in a nonlinear optical fiber
• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• Electron Spin Resonance in S=1/2 antiferromagnetic chains
• Dynamical density-density correlations in the one-dimensional Bose gas
• Integral representations for correlation functions of the XXZ chain at finite temperature
• Tailoring Three-Point Functions and Integrability
• Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
• Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain
• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Characterization of a Quasi-One Dimensional Spin-1/2 Magnet which is Gapless and Paramagnetic for g mu_B H <= J and k_B T << J
• Quantum Generalized Hydrodynamics
• Cold atom simulation of interacting relativistic quantum field theories
• Logarithmic scaling in gauge/string correspondence
• One-point Functions in Defect CFT and Integrability
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
• Form factors in finite volume II:disconnected terms and finite temperature correlators
• The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Integrability in QCD and beyond
• Off-diagonal Bethe ansatz and exact solution of a topological spin ring
• Structure of the conservation laws in integrable spin chains with short range interactions
• Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
• Generalized hydrodynamics with space-time inhomogeneous interactions
• Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
• Interaction quenches in the 1D Bose gas
• Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
• Towards a statistical theory of transport by strongly-interacting lattice fermions
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Quasilocal conservation laws in XXZ spin-1/2 chains: open, periodic and twisted boundary conditions
• Quantum quenches in the anisotropic spin-1/2 Heisenberg chain: different approaches to many-body dynamics far from equilibrium
• Matrix product solutions of boundary driven quantum chains
• Quantum Lattice Solitons
• Master equation for spin-spin correlation functions of the XXZ chain
• Correlation functions and transport coefficients in generalised hydrodynamics
• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• Preformed pairs in flat Bloch bands
• Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
• Finite temperature correlations in the Lieb-Liniger 1D Bose gas
• Anyon-fermion mapping and applications to ultracold gases in tight waveguides
• Finite-Size Scaling Analysis of the Eigenstate Thermalization Hypothesis in a One-Dimensional Interacting Bose gas
• Valence bond solids for SU(n) spin chains: exact models, spinon confinement, and the Haldane gap
• Factorization of Correlation Functions and the Replica Limit of the Toda Lattice Equation
• Relaxation dynamics in the gapped XXZ spin-1/2 chain
• Correlation functions of the one-dimensional attractive Bose gas
• Unquenched QCD Dirac Operator Spectra at Nonzero Baryon Chemical Potential
• A Gaudin-like determinant for overlaps of Néel and XXZ Bethe states
• Superuniversality of superdiffusion
• Exact steady states for quantum quenches in integrable Heisenberg spin chains
• Correlation Function of the Spin-1/2 XXX Antiferromagnet
• Correlation functions for a strongly correlated boson system
• Integrability and WKB solution of twist-three evolution equations
• Expectation Values in the Lieb-Liniger Bose Gas
• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• A comment on finite temperature correlations in integrable QFT
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
• Boundary interactions changing operators and dynamical correlations in quantum impurity problems
• Dynamical free energy and the Loschmidt-echo for a class of quantum quenches in the Heisenberg spin chain
• Breakdown of the Mott insulator: Exact solution of an asymmetric Hubbard model
• Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
• Exact two-spinon dynamical correlation function of the Heisenberg model
• Characterizing correlations with full counting statistics: classical Ising and quantum XY spin chains
• Bethe ansatz for the XXX-S chain with non-diagonal open boundaries
• Dynamical correlation functions of the XXZ spin-1/2 chain
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• The arctic curve of the domain-wall six-vertex model
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• Exact three-body local correlations for excited states of the 1D Bose gas
• Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
• Algebraic construction of current operators in integrable spin chains
• Baxter Q-operator and Separation of Variables for the open SL(2,R) spin chain
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Ground-state properties of the attractive one-dimensional Bose-Hubbard model
• Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
• Differential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point
• Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
• Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation
• Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
• On the spectrum of the Sinh-Gordon model in finite volume
• Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
• Entanglement spreading in non-equilibrium integrable systems
• A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg $XY$ model
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• The sl(n)-WZNW Fusion Ring: a combinatorial construction and a realisation as quotient of quantum cohomology
• Nonuniversal prefactors in correlation functions of 1D quantum liquids
• Quantum Flutter: Signatures and Robustness
• Low temperature correlation functions in integrable models: Derivation of the large distance and time asymptotics from the form factor expansion
• Integrable Fredholm Operators and Dual Isomonodromic Deformations
• Simulating spin-charge separation with light
• Lower Bounding Diffusion Constant by the Curvature of Drude Weight
• A spin chain model with non-Hermitian interaction: The Ising quantum spin chain in an imaginary field
• An integrable spin chain for the SL(2,R)/U(1) black hole sigma model
• Thermal transport of the XXZ chain in a magnetic field
• Higgs Bundles, Gauge Theories and Quantum Groups
• Exact relaxation dynamics of a localized many-body state in the 1D bose gas
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Algebraic Bethe Ansatz for a discrete-state BCS pairing model
• Integrable time-dependent quantum Hamiltonians
• Zero temperature correlation functions for the impenetrable fermion gas
• Interaction of Reggeized Gluons in the Baxter-Sklyanin Representation
• Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe ansatz
• Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra
• Front dynamics and entanglement in the XXZ chain with a gradient
• Short distance correlators in the XXZ spin chain for arbitrary string distributions
• Excitation spectrum of the Lieb-Liniger model
• Bethe vectors of GL(3)-invariant integrable models
• Exact null octagon
• On the Construction of Trigonometric Solutions of the Yang-Baxter Equation
• Overlaps of $q$-raised Néel states with XXZ Bethe states and their relation to the Lieb-Liniger Bose gas
• Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
• Universal broadening of the light cone in low-temperature transport
• Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
• Octagon at finite coupling
• Integrable spin-boson models descending from rational six-vertex models
• Thermal form-factor approach to dynamical correlation functions of integrable lattice models
• Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
• The continuum limit of sl(N/K) integrable super spin chains
• Combinatorial Formulae for Nested Bethe Vectors
• Quasilocal conservation laws from semicyclic irreducible representations of $U_q({\mathfrak{sl}}_2)$ in $XXZ$ spin-$1/2$ chains
• Absence of backscattering at integrable impurities in one-dimensional quantum many-body systems
• Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
• Overlaps of Partial Neel States and Bethe States
• The Spin-Exchange Dynamical Structure Factor of the S=1/2 Heisenberg Chain
• Local Correlations in the Super Tonks-Girardeau Gas
• Relativistic Classical Integrable Tops and Quantum R-matrices
• Spectrum of Quantum Transfer Matrices via Classical Many-Body Systems
• Form factors in quantum integrable models with GL(3)-invariant R-matrix
• Exactly solvable magnet of conformal spins in four dimensions
• Highest coefficient of scalar products in SU(3)-invariant integrable models
• Interplay between Symmetric Exchange Anisotropy, Uniform Dzyaloshinskii-Moriya Interaction and Magnetic Fields in the Phase Diagram of Quantum Magnets and Superconductors
• A short introduction to Generalized Hydrodynamics
• Bethe Ansatz for 1D interacting anyons
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Emptiness formation probability in the domain-wall six-vertex model
• Baxter Q-operator from quantum K-theory
• Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains
• Solution of the SU(N) Vertex Model with Non-Diagonal Open Boundaries
• Charge-density-wave instabilities driven by multiple umklapp scattering
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Current presentation for the double super-Yangian $DY(\mathfrak{gl}(m|n))$ and Bethe vectors
• Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable Bosons
• Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains
• Quantum mechanics of null polygonal Wilson loops
• Impurity Green's function of a one-dimensional Fermi-gas
• Exact correlation functions of the BCS model in the canonical ensemble
• Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension
• Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas
• Temperature correlators in the two-component one-dimensional gas
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Excited state correlations of the finite Heisenberg chain
• Integrable Magnetic Model of Two Chains Coupled by Four-Body Interactions
• Interacting particles at a metal-insulator transition
• Three-body local correlation function in the Lieb-Liniger model: bosonization approach
• Isomonodromic Quantization of Dimensionally Reduced Gravity
• Shock waves in a one-dimensional Bose gas: from a Bose-Einstein condensate to a Tonks gas
• GL(3)-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators
• Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
• Integrability of two-loop dilatation operator in gauge theories
• Onsager symmetries in $U(1)$-invariant clock models
• Non compact conformal field theory and the a_2^{(2)} (Izergin-Korepin) model in regime III
• Scalar products in generalized models with SU(3)-symmetry
• Non-Equilibrium Steady State generated by a moving defect: the supersonic threshold
• Manifestations of Projection-Induced Memory: General Theory and the Tilted Single File
• On Ising Correlation Functions with Boundary Magnetic Field
• Coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field
• Quantum Shock Waves and Population Inversion in Collisions of Ultracold Atomic Clouds
• Quasi-local charges and the Generalized Gibbs Ensemble in the Lieb-Liniger model
• On two-point boundary correlations in the six-vertex model with DWBC
• Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices
• Scalar products of Bethe vectors in the models with $\mathfrak{gl}(m|n)$ symmetry
• The Staggered Six-Vertex Model: Conformal Invariance and Corrections to Scaling
• Towards Baxter equation in supersymmetric Yang-Mills theories
• Dynamics of Fluctuations in Quantum Simple Exclusion Processes
• Ground State Magnetization of Polymerized Spin Chains
• Quantum states of dark solitons in the 1D Bose gas
• Worldsheet Form Factors in AdS/CFT
• Exact steady state manifold of a boundary driven spin-1 Lai-Sutherland chain
• Explicit Construction of Local Conserved Quantities in the XYZ Spin-1/2 Chain
• Lectures on Integrable probability: Stochastic vertex models and symmetric functions
• Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas
• Phase Diagram of an Integrable Alternating $U_q[sl(2|1)]$ Superspin Chain
• Exact four-spinon dynamical correlation function of the Heisenberg model
• Finite Temperature Dynamical Structure Factor of the Heisenberg-Ising Chain
• Integrable structures and duality in high-energy QCD
• Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class
• Dynamic and static density-density correlations in the one-dimensional Bose gas: exact results and approximations
• "Separation of Variables and Hamiltonian Formulation for the Ernst Equation"
• Entanglement entropy production in deep inelastic scattering
• Evaluation of Dynamic spin structure factor for the spin-1/2 XXZ chain in a magnetic field
• Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation
• Violation of self-similarity in the expansion of a 1D Bose gas
• Quench action and large deviations: work statistics in the one-dimensional Bose gas
• Exact solution of a 1D many-body system with momentum dependent interactions
• A Yang-Baxter integrable cellular automaton with a four site update rule
• Quantum Stability for the Heisenberg Ferromagnet
• On $A_{n-1}^{(1)},B_n^{(1)},C_n^{(1)},D_n^{(1)},A_{2n}^{(2)},A_{2n-1}^{(2)}$ and $D_{n+1}^{(2)}$ Reflection $K$-Matrices
• Solitons in high-energy QCD
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Spectral densities and partition functions of modular quantum systems as derived from a central limit theorem
• Zero modes method and form factors in quantum integrable models
• Transition rates via Bethe ansatz for the spin-1/2 planar XXZ antiferromagnet
• Non-commutative rational Yang-Baxter maps
• An Izergin-Korepin procedure for calculating scalar products in six-vertex models
• Exact solution of generalized Schulz-Shastry type models
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Three-Dimensional Ordering in Weakly Coupled Antiferromagnetic Ladders and Chains
• The L(sl_2) symmetry of the Bazhanov-Stroganov model associated with the superintegrable chiral Potts model
• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
• Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
• Quasi-classical descendants of disordered vertex models with boundaries
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• Exact results for persistent currents of two bosons in a ring lattice
• Integrability of the russian doll BCS model
• Doping of a spin-1 chain: integrable model
• A Note on Dressed S-Matrices in Models with Long-Range Interactions
• Boundary polarization in the six-vertex model
• On factorized overlaps: Algebraic Bethe Ansatz, twists, and Separation of Variables
• Universality of the one dimensional Bose gas with delta interaction
• Boundary RG Flow Associated with the AKNS Soliton Hierarchy
• Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
• Fermionic R-Operator and Integrability of the One-Dimensional Hubbard Model
• Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
• Boxed Skew Plane Partition and Integrable Phase Model
• A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Single-shot simulations of dynamics of quantum dark solitons
• Probing non-thermal density fluctuations in the one-dimensional Bose gas
• Correlation functions of the half-infinite XXZ spin chain with a triangular boundary
• Characterizing quantum correlations in spin chains
• Universal scrambling in gapless quantum spin chains
• Integrable impurities for an open fermion chain
• Thermalization of interacting quasi-one-dimensional systems
• Photonic quantum transport in a nonlinear optical fiber
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• $\mathrm{T}\overline{\mathrm{T}}$-deformed 1d Bose gas
• Eigenvalue-based determinants for scalar products and form factors in Richardson-Gaudin integrable models coupled to a bosonic mode
• Unraveling the Excitation Spectrum of Many-Body Systems from Quantum Quenches
• Multiple integral formulae for the scalar product of on-shell and off-shell Bethe vectors in SU(3)-invariant models
• G/G gauged WZW model and Bethe Ansatz for the phase model
• Correlations in one dimensional quantum impurity problems with an external field
• Time and temperature dependent correlation functions of the 1D impenetrable electron gas
• Boundary form factors in finite volume
• Adiabatic formation of bound states in the 1d Bose gas
• Trigonometric osp(1|2) Gaudin model
• Crosscap States in Integrable Field Theories and Spin Chains
• On the origins of Riemann-Hilbert problems in mathematics
• Enhanced Charge and Spin Currents in the One-Dimensional Disordered Mesoscopic Hubbard Ring
• Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Eqaution
• $C_n^{(1)}$, $D_n^{(1)}$ and $A_{2n-1}^{(2)}$ reflection K-matrices
• Integrable Chain Model with Additional Staggered Model Parameter
• A method for solve integrable $A_2$ spin chains combining different representations
• Ultracold gases far from equilibrium
• Volume-Preserving Diffeomorphisms' versus Local Gauge Symmetry
• Integrable anyon chains: from fusion rules to face models to effective field theories
• Bethe vectors for models based on the super-Yangian $Y(\mathfrak{gl}(m|n))$
• Hidden order in bosonic gases confined in one dimensional optical lattices
• Affine Toda field theory as a 3-dimensional integrable system
• Off-diagonal correlations in one-dimensional anyonic models: A replica approach
• Strong coupling expansion of Baxter equation in N=4 SYM
• Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective
• Quasi-soliton scattering in quantum spin chains
• Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field
• Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases
• Entanglement spreading and quasiparticle picture beyond the pair structure
• Non-commutative lattice modified Gel'fand-Dikii systems
• Eigenvalue statistics as indicator of integrability of non-equilibrium density operators
• A connection between non-local one-body and local three-body correlations of the Lieb-Liniger model
• Norm of Bethe vectors in models with $\mathfrak{gl}(m|n)$ symmetry
• Universal Character, Phase Model and Topological Strings on ${\mathbb{C}}^3$
• Quasi-conserved charges in the perturbed spin-1/2 XXX model
• One-Dimensional Bose Gases with N-Body Attractive Interactions
• Hyperelliptic Loop Solitons with Genus g: Investigations of a Quantized Elastica
• Painlevé Functions in Statistical Physics
• Entanglement Entropy in the Calogero-Sutherland Model
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
• Fermionic R-Operator for the Fermion Chain Model
• One Dimensional Gas of Bosons with Feshbach Resonant Interactions
• Geometric discretization of the Koenigs nets
• Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist
• Probability Distributions of Line Lattices in Random Media from the 1D Bose Gas
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• Gapped Heisenberg spin chains in a field
• Exact solution of the $2d$ dimer model: Corner free energy, correlation functions and combinatorics
• Discretized vs. continuous models of p-wave interacting fermions in 1D
• Fusion hierarchies for N = 4 superYang-Mills theory
• Analytic solutions of the 1D finite coupling delta function Bose gas
• Fermionisation of the Spin-S Uimin-Lai-Sutherland Model: Generalisation of Supersymmetric t-J Model to Spin-S
• Bethe Ansatz and Classical Hirota Equation
• Boundary susceptibility in the open XXZ-chain
• Koornwinder polynomials and the XXZ spin chain
• Algebraic Bethe ansatz for the elliptic quantum group $E_{\tau ,\eta }(s{l}_n)$ and its applications
• Instabilities of the Hubbard chain in a magnetic field
• Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
• Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss
• Algebraic Solution of the Hubbard Model on the Infinite Interval
• Spinon excitations in the XX chain: spectra, transition rates, observability
• The pentagon relation and incidence geometry
• Algebraic Bethe Ansatz for the Zamolodchikov-Fateev and Izergin-Korepin models with open boundary conditions
• Spectrum of the supersymmetric t-J model with non-diagonal open boundaries
• Electron spin resonance in high-field critical phase of gapped spin chains
• Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
• Results on the symmetries of integrable fermionic models on chains
• Extreme boundary conditions and random tilings
• Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
• New supersymmetric generalization of the Liouville equation
• Energy-pressure relation for low-dimensional gases
• Reflection algebra and functional equations
• New enumeration formulas for alternating sign matrices and square ice partition functions
• Quenches and confinement in a Heisenberg-Ising spin ladder
• Universal off-diagonal long-range order behaviour for a trapped Tonks-Girardeau gas
• $A_{n-1}^{(1)}$ Reflection K-Matrices
• Domain-wall melting in ultracold boson systems with holes and spin-flip defects
• Scalar products in models with GL(3) trigonometric R-matrix. Highest coefficient
• Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry
• The density profile of the six vertex model with domain wall boundary conditions
• Colour-independent partition functions in coloured vertex models
• Staggered Anisotropy Parameter Modification of the Anisotropic $t-J$ Model
• Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction
• Highest weight representations of $U_q(\widehat{sl}(2|1))$ and correlation functions of the q-deformed supersymmetric t-J model
• Reduction of Toda Lattice Hierarchy to Generalized KdV Hierarchies and Two-Matrix Model
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Boundary transfer matrices and boundary quantum KZ equations
• On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
• Exact solution for the Bariev model with boundary fields
• Physics in one dimension: theoretical concepts for quantum many-body systems
• Factorized Three-body S-Matrix Restrained by Yang-Baxter Equation and Quantum Entanglements
• Multiple commutation relations in the models with gl(2|1) symmetry
• Density distributions for trapped one-dimensional spinor gases
• Algebraic Bethe Ansatz for U(1) Invariant Integrable Models: The Method and General Results
• The 6-vertex model with fixed boundary conditions
• Phase-induced transport in atomic gases: from superfluid to Mott insulator
• Exact Boundary Modes in an Interacting Quantum Wire
• Universal local pair correlations of Lieb-Liniger bosons at quantum criticality
• Correlation Functions and the Boundary qKZ Equation in a Fractured XXZ Chain
• Exact Yrast Spectra of Cold Atoms on a Ring
• Spectrum and transition rates of the XX chain analyzed via Bethe ansatz
• On the theory of plateau-plateau transitions in Quantum Hall Effect
• B_{n}^{(1)} and A_{2n}^{(2)}reflection K-matrices
• Some properties for the low-lying spectrum of the ferromagnetic, quantum XXZ spin system
• An Algebraic Bootstrap for Dimensionally Reduced Quantum Gravity
• Algebraic bosonization: the study of the Heisenberg and Calogero-Sutherland models
• $c$-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow
• The Coxeter relations and KP map for non-commuting symbols
• Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
• On S-Matrix factorization of the Landau-Lifshitz model
• Universality at work -- the local sine-Gordon model, lattice fermions, and quantum circuits
• Edge Modes in One Dimensional Topological Charge Conserving Spin-Triplet Superconductors: Exact Results from Bethe Ansatz
• Topological phase transitions in four dimensions
• Integrability and duality in spin chains
• Temperature-driven crossover in the Lieb-Liniger model
• Commensurate-Incommensurate Phase Transitions for Multichain Quantum Spin Models: Exact Results
• Ground state properties of a one-dimensional strongly-interacting Bose-Fermi mixture in a double-well potential
• Correlation functions of integrable $O(n)$ spin chains
• Six-vertex model on a finite lattice: integral representations for nonlocal correlation functions
• Hexagonalization of Fishnet integrals I: mirror excitations
• The q-deformed Bose gas: Integrability and thermodynamics
• Short Distance Expansions of Correlation Functions in the Sine-Gordon Theory
• Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Derivation of matrix product states for the Heisenberg spin chain with open boundary conditions
• Exact thermodynamics of an Extended Hubbard Model of single and paired carriers in competition
• Integrable spin chains and the Clifford group
• Efficient Thermodynamic Description of Multi-Component One-Dimensional Bose Gases
• Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas
• Generalized harmonic-fluid approach for the off-diagonal correlations of a one-dimensional interacting Bose gas
• $sl(2|1{)}^{(2)}$ Gaudin Magnet and its associated Knizhnik-Zamolodchikov equation
• String tension and robustness of confinement properties of in the Schwinger-Thirring model
• One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains
• Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
• Computational complexity of non-equilibrium steady states of quantum spin chains
• Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions
• Universality and quantum criticality of the one-dimensional spinor Bose gas
• Geometric discretization of the Bianchi system
• Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas
• Algebraic Bethe ansatz for U(1) Invariant Integrable Models: Compact and non-Compact Applications
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• On Affine Fusion and the Phase Model
• Drinfeld twists of the open XXZ chain with non-diagonal boundary terms
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Exotic pairing in 1D spin-3/2 atomic gases with $SO(4)$ symmetry
• QED for a Fibrillar Medium of Two-Level Atoms
• A supersymmetric U_{q}[osp(2|2)]-extended Hubbard model with boundary fields
• Reflection matrices for the $U_q[sl(m|n{)}^{(1)}]$ vertex model
• Quantum Giant Magnons
• Ground-state phase diagram for a system of interacting, $D(D_3)$ non-Abelian anyons
• Solutions of the reflection equations for the $U_q[G_2]$ vertex model
• The asymptotic Bethe ansatz solution for one-dimensional SU(2) spinor bosons with finite range Gaussian interactions
• Generalized emptiness formation probability in the six-vertex model
• Boundary correlation functions of the six and nineteen vertex models with domain wall boundary conditions
• Super-rough phase of the random-phase sine-Gordon model: Two-loop results
• Low-density limit of dynamical correlations in the Lieb-Liniger model
• Non-regular eigenstate of the XXX model as some limit of the Bethe state
• Bethe ansatz and Hirota equation in integrable models
• A pedagogical introduction to quantum integrability, with a view towards theoretical high-energy physics
• Slavnov determinants, Yang-Mills structure constants, and discrete KP
• Quantum Supersymmetric Toda-mKdV Hierarchies
• Parametric Excitation of a 1D Gas in Integrable and Nonintegrable Cases
• On the domain wall partition functions of level-1 affine so(n) vertex models
• Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
• Non-Markovian Particle Dynamics in Continuously Controlled Quantum Gases
• OPE in planar QCD from integrability
• Parametric Statistics of Individual Energy Levels in Random Hamiltonians
• Kondo Length in Bosonic Lattices
• Mixed integrable SU(N) vertex model with arbitrary twists
• On a Zero Curvature Representation for Bosonic Strings and $p$-Branes
• Ordering of Energy Levels in Heisenberg Models and Applications
• Integrability and PT-symmetry of $N$-Body Systems with Spin-coupling $\delta$-Interactions
• Density ripples in expanding low-dimensional gases as a probe of correlations
• Approximate expression for the dynamic structure factor in the Lieb-Liniger model
• On the ${\mathcal{U}}_q[sl(2)]$ Temperley-Lieb reflection matrices
• Integrability in anyonic quantum spin chains via a composite height model
• Finite temperature correlations for the U_q(sl(2|1))-invariant generalized Hubbard model
• Multiparametric and coloured extensions of the quantum group $G{L}_q(N)$ and the Yangian algebra $Y(g{l}_N)$ through a symmetry transformation of the Yang-Baxter equation
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• Bethe ansatz for the three-layer Zamolodchikov model
• Convergence radius of perturbative Lindblad driven non-equilibrium steady states
• Form factors and correlation functions of an interacting spinless fermion model
• Singular eigenstates in the even(odd) length Heisenberg spin chain
• Free fermions in classical and quantum integrable models
• Universal Quantum Fluctuation-Dissipation Relation for Systems Far From Equilibrium
• Spectrum statistics in the integrable Lieb-Liniger model
• Reflection matrices for the $U_q[sl(r|2m{)}^{(2)}]$ vertex model
• All correlation functions of the open XXX spin 1/2 quantum chains for unparallel boundary magnetic fields with one constraint
• On a class of q-orthogonal polynomials and the q-Riemann Hilbert Problem
• Supersymmetric quantum mechanics of the flux tube
• Reflection of a Lieb-Liniger wave packet from the hard-wall potential
• Creation operators and algebraic Bethe ansatz for the elliptic quantum group $E_{\tau ,\eta }(s{o}_3)$
• Viscous Properties of a Degenerate One-Dimensional Fermi Gas
• Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
• Dual wavefunction of the symplectic ice
• Symmetries and Correlations in Strongly Interacting One-dimensional Quantum Gases
• Emptiness and Depletion Formation Probability in spin models with inverse square interaction
• Vanishing and non-vanishing persistent currents of various conserved quantities
• Hubbard chain with a Kondo impurity
• Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
• A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains
• Quantum sine-Gordon dynamics on analogue curved spacetime in a weakly imperfect scalar Bose gas
• The LeClair-Mussardo series and nested Bethe Ansatz
• Bethe states for the two-site Bose-Hubbard model: a binomial approach
• The Lax pair for the fermionic Bazhanov-Stroganov $R$-operator
• Quantized Lax Equations and Their Solutions
• Thermodynamic Bethe Ansatz for the Spin-1/2 Staggered XXZ- Model
• Reduction formula of form factors for the integrable spin-s XXZ chains and application to the correlation functions
• Quasi-Exactly Solvable Models Derived from the Quasi-Gaudin Algebra
• The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models
• Finite-size effects from higher conservation laws for the one-dimensional Bose gas
• Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain
• Symmetry classes of alternating sign matrices in the nineteen-vertex model
• Hopf algebra structure of generalized quasi-symmetric functions in partially commutative variables
• Domain wall dynamics of the Ising chains in a transverse field
• An algebraic approach to discrete time integrability
• Finite temperature bosonization
• Emptiness Formation in Polytropic Quantum Liquids
• The Zoo of Opers and Dualities
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• Emptiness Formation Probability in 1D Bose Liquids
• Partial Fermionization---Spectral Universality in 1D Repulsive Bose Gases
• Boundary K-matrices and the Lax pair for 1D open XYZ spin-chain
• Original electric-vertex formulation of the symmetric eight-vertex model on the square lattice is fully non-universal
• Spin nematic states in antiferromagnets containing ferromagnetic bonds
• A Quantum Analogue of the $\mathcal{Z}$ Algebra
• The Role of the Central Element in the Quantum Algebra Underlying the Twisted XXZ Chain
• Analytic continuation of Bethe energies and application to the thermodynamic limit of the $SL(2,\mathbb{C})$ non-compact spin chains
• Dynamics of one-dimensional quantum many-body systems in time-periodic linear potentials
• A bosonic multi-state two-well model
• Solution of quantum integrable systems from quiver gauge theories
• Quantum entanglement, supersymmetry, and the generalized Yang-Baxter equation
• Exact quantum dynamics of yrast states in the finite 1D Bose gas
• Topologically Twisted SUSY Gauge Theory, Gauge-Bethe Correspondence and Quantum Cohomology
• Exact Derivation of Luttinger Liquid Relation in a One-Dimensional Two-Component Quantum System with Hyperbolic Interactions
• $A_2^{(2)}$ Gaudin model and its associated Knizhnik-Zamolodchikov equation
• Comments on David Aldous and Persi Diaconis' "Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem"
• Stochastic analysis & discrete quantum systems
• Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions
• Quantum Generalized Hydrodynamics of the Tonks-Girardeau gas: density fluctuations and entanglement entropy
• Sum rules for the supersymmetric eight-vertex model
• Interferometry with Atoms
• Finite temperature properties of an integrable zigzag ladder chain
• Heisenberg model and Rigged Configurations
• Measurement of one-dimensional matter-wave quantum breather
• Nonstationary generalized TASEP in KPZ and jamming regimes
• Sum rules for four-spinon dynamic structure factor in XXX model
• New series of multi-parametric solutions to GYBE: quantum gates and integrability
• Overlap between usual and modified Bethe vectors
• Osp(1|2) Off-shell Bethe Ansatz Equations
• Dressed excitations, thermodynamics and relaxation in the 1D XXZ Heisenberg model
• Remarks towards the spectrum of the Heisenberg spin chain type models
• Construction of the Bethe State for the $E_{\tau ,\eta }(s{o}_3)$ Elliptic Quantum Group
• Universal quantum computation in integrable systems
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
• Series of the solutions to Yang-Baxter equations: Hecke type matrices and descendant R-, L-operators
• High accuracy energy formulas for the attractive two-site Bose-Hubbard model
• A convenient basis for the Izergin-Korepin model
• Finite size and finite temperature studies of the $osp(1|2)$ spin chain
• Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements
• Exactly Solvable Ginzburg-Landau theories of Superconducting Order Parameters coupled to Elastic Modes
• Quantum magnetism on small-world networks
• "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
• On computing non-equilibrium dynamics following a quench
• Integrable Stochastic Ladder Models
• Solitons in Nonlinear Schrödinger Model and the Collective Ground State of One-Dimensional Delta-Function Gas
• Maxwell-Bloch equation and Correlation function for penetrable Bose gas
• Exact Wavefunctions for a Delta Function Bose Gas with Higher Derivatives
• More General Correlation Functions of Twist Fields From Ward Identities in the Massive Dirac Theory
• Transition Matrix, Poisson Bracket for gravitational solitons in the dressing formalism
• Small polaron with generic open boundary conditions revisit: exact solution via the off-diagonal Bethe ansatz
• Scalar products of the elliptic Felderhof model and elliptic Cauchy formula
• Nonlocal pair correlations in Lieb-Liniger gases: A unified nonperturbative approach from weak degeneracy to high temperatures
• Integrability of twist-three evolution equations in QCD
• Bethe's Quantum Numbers And Rigged Configurations
• Lattice Models, Hamiltonian Operators, and Symmetric Functions
• Scattering matrix of elementary excitations in the antiperiodic XXZ spin chain with η=iπ/3
• On the Degenerate Multiplicity of the $s{l}_2$ Loop Algebra for the 6V Transfer Matrix at Roots of Unity
• General scalar products in the arbitrary six-vertex model
• On Wronskians and $qq$-systems
• Interrelations among frustration-free models via Witten's conjugation
• Revisiting the Exact Dynamical Structure Factor of the Heisenberg Antiferromagnetic Model
• Hamiltonian Dynamics, Classical R-matrices and Isomonodromic Deformations
• Action of the monodromy matrix entries in the generalized algebraic Bethe ansatz
• Optimal state for a Tavis-Cummings quantum battery via the Bethe ansatz method
• Dynamics and transport near quantum-critical points
• Time evolution in quantum systems and stochastics
• Integrable models and $K$-theoretic pushforward of Grothendieck classes
• Bethe Ansatz in Quantum Mechanics. 1. The Inverse Method of Separation of Variables
• Q-operator for the quantum NLS model
• Non-additive fusion, Hubbard models and non-locality
• Short-time Fourier transform of the pointwise product of two functions with application to the nonlinear Schrödinger equation
• New approach to scalar products of Bethe vectors
• Graded Off-diagonal Bethe ansatz solution of the $SU(2|2)$ spin chain model with generic integrable boundaries
• Aspects of Symmetry in Sine-Gordon Theory
• On non-stationary Lamé equation from WZW model and spin-1/2 XYZ chain
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain
• A Hermite-Padé perspective on Gell-Mann--Low renormalization group: an application to the correlation function of Lieb-Liniger gas
• Love--Lieb integral equations: applications, theory, approximations, and computation
• On the Integrability of the One-Dimensional Open XYZ Spin Chain
• Canonical formulation for the thermodynamics of $s{l}_n$-invariant integrable spin chains
• Quantum critical surface of the zigzag spin chain under magnetic field: Application to superconducting quantum dots
• Thermodynamics of trapped interacting bosons in one dimension
• Ultracold Atomic Gases in Artificial Magnetic Fields (PhD thesis)
• Integrable Lattice Systems and Markov Processes