Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2014, Volume 90, Issue 3, p. 032912

.... The proposed model can be viewed as a discretization of a recently obtained integrable nonlocal nonlinear Schrodinger equation.

SOLITONS | PHYSICS, FLUIDS & PLASMAS | DYNAMICS | LATTICES | WAVE-GUIDE ARRAYS | PHYSICS, MATHEMATICAL | DIFFERENTIAL-DIFFERENCE EQUATIONS | Nonlinear Dynamics | Linear Models | Physical Phenomena

SOLITONS | PHYSICS, FLUIDS & PLASMAS | DYNAMICS | LATTICES | WAVE-GUIDE ARRAYS | PHYSICS, MATHEMATICAL | DIFFERENTIAL-DIFFERENCE EQUATIONS | Nonlinear Dynamics | Linear Models | Physical Phenomena

Journal Article

Journal of statistical mechanics, ISSN 1742-5468, 2016, Volume 2016, Issue 6, p. 064007

.... Since then, the GGE has been demonstrated to be a powerful tool to predict the outcome of the relaxation dynamics of few-body observables in a variety of integrable models, a process we call generalized thermalization...

Quantum thermalization | Optical lattices | Generalized Gibbs ensemble | Quantum quenches | STATISTICAL-MECHANICS | STATES | THERMALIZATION | optical lattices | QUANTUM | quantum quenches | RELAXATION | PHYSICS, MATHEMATICAL | BOSONS | quantum thermalization | TRANSPORT | MECHANICS | QUENCH | generalized Gibbs ensemble | INFORMATION-THEORY | DYNAMICS

Quantum thermalization | Optical lattices | Generalized Gibbs ensemble | Quantum quenches | STATISTICAL-MECHANICS | STATES | THERMALIZATION | optical lattices | QUANTUM | quantum quenches | RELAXATION | PHYSICS, MATHEMATICAL | BOSONS | quantum thermalization | TRANSPORT | MECHANICS | QUENCH | generalized Gibbs ensemble | INFORMATION-THEORY | DYNAMICS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2013, Volume 2013, Issue 10, pp. 1 - 39

.... I present here an open spin-chain model which calculates the spectrum of excitations of such open strings...

Integrable Field Theories | Anomalies in Field and String Theories | AdS-CFT Correspondence | Quantum Physics | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Bethe ansatz | Anomalies in field and string theories | AdS-CFT correspondence | Integrable field theories | STRINGS | S-MATRIX | YANG-MILLS THEORY | ENERGY | BETHE-ANSATZ | QUANTUM-FIELD THEORIES | BOUNDARY STATE | SPECTRUM | ANOMALOUS DIMENSIONS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Algebra | Couplings | Reproduction | Cusps | Mathematical models | Boundaries | Charged particles | Strings | Physics - High Energy Physics - Theory

Integrable Field Theories | Anomalies in Field and String Theories | AdS-CFT Correspondence | Quantum Physics | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Bethe ansatz | Anomalies in field and string theories | AdS-CFT correspondence | Integrable field theories | STRINGS | S-MATRIX | YANG-MILLS THEORY | ENERGY | BETHE-ANSATZ | QUANTUM-FIELD THEORIES | BOUNDARY STATE | SPECTRUM | ANOMALOUS DIMENSIONS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Algebra | Couplings | Reproduction | Cusps | Mathematical models | Boundaries | Charged particles | Strings | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 06/2018, Volume 2018, Issue 6, p. 1

...)018 We consider quantum integrable models solvable by the nested algebraic Bethe ansatz and possessing gl3.sub...

Lattice Integrable Models | Integrable Field Theories

Lattice Integrable Models | Integrable Field Theories

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 09/2015, Volume 47, pp. 61 - 68

We introduce a new unified two-parameter {(ϵx,ϵt)|ϵx,t=±1} wave model (simply called Qϵx,ϵt(n) model), connecting integrable local and nonlocal vector nonlinear...

Conservation laws | [formula omitted] symmetry | Two-parameter family of nonlocal vector nonlinear Schrödinger equations | Lax pair | Solitons | equations | Two-parameter family of nonlocal | vector nonlinear Schrödinger | PT symmetry | MATHEMATICS, APPLIED | Two-parameter family of nonlocal vector nonlinear Schrodinger equations | POTENTIALS | PHOTONIC LATTICES | ROGUE WAVES | PARITY-TIME SYMMETRY | DYNAMICS | REAL | OPTICS | NON-HERMITIAN HAMILTONIANS

Conservation laws | [formula omitted] symmetry | Two-parameter family of nonlocal vector nonlinear Schrödinger equations | Lax pair | Solitons | equations | Two-parameter family of nonlocal | vector nonlinear Schrödinger | PT symmetry | MATHEMATICS, APPLIED | Two-parameter family of nonlocal vector nonlinear Schrodinger equations | POTENTIALS | PHOTONIC LATTICES | ROGUE WAVES | PARITY-TIME SYMMETRY | DYNAMICS | REAL | OPTICS | NON-HERMITIAN HAMILTONIANS

Journal Article

The journal of high energy physics, ISSN 1029-8479, 2019, Volume 2019, Issue 10, pp. 1 - 33

We introduce a family of classical integrable systems describing dynamics of M interacting gl N integrable tops...

Lattice Integrable Models | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Elementary Particles, Quantum Field Theory | R-MATRIX | QUANTUM | TRIGONOMETRIC SOLUTIONS | EQUATIONS | LIE | ALGEBRAS | SYMMETRY | HEISENBERG CHAIN | SYSTEMS | LAX PAIRS | PHYSICS, PARTICLES & FIELDS | Anisotropy | Analysis | Operators (mathematics) | Tops | Spin exchange

Lattice Integrable Models | Quantum Physics | Differential and Algebraic Geometry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Matrix Models | Physics | Elementary Particles, Quantum Field Theory | R-MATRIX | QUANTUM | TRIGONOMETRIC SOLUTIONS | EQUATIONS | LIE | ALGEBRAS | SYMMETRY | HEISENBERG CHAIN | SYSTEMS | LAX PAIRS | PHYSICS, PARTICLES & FIELDS | Anisotropy | Analysis | Operators (mathematics) | Tops | Spin exchange

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2012, Volume 2012, Issue 6, pp. 1 - 25

We explore various aspects of the correspondence between dimer models and integrable systems recently introduced by Goncharov and Kenyon...

Brane Dynamics in Gauge Theories | D-branes | Integrable Equations in Physics | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Integrable equations in physics | Brane dynamics in Gauge theories | DIMENSIONS | GAUGE-THEORIES | TODA LATTICE | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Impurities | Production methods | Chains | Dimers | Combinatorial analysis | Relativistic effects

Brane Dynamics in Gauge Theories | D-branes | Integrable Equations in Physics | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Integrable equations in physics | Brane dynamics in Gauge theories | DIMENSIONS | GAUGE-THEORIES | TODA LATTICE | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Impurities | Production methods | Chains | Dimers | Combinatorial analysis | Relativistic effects

Journal Article

Journal of statistical physics, ISSN 1572-9613, 2019, Volume 176, Issue 6, pp. 1375 - 1408

...-invariance property is shown to also hold for integrable vector models and interaction-round-a-face (IRF...

Lagrangian | Theoretical, Mathematical and Computational Physics | Consistency | Quantum Physics | Z-Invariance | Physics | Lattice | Laplace | Statistical Physics and Dynamical Systems | ABS | Physical Chemistry | Integrable | Consistent | Discrete | IRF | Star–star | Vector | Yang–Baxter | Star-star | YANG-BAXTER EQUATION | CLASSIFICATION | Yang-Baxter | PHYSICS, MATHEMATICAL | LATTICE MODELS

Lagrangian | Theoretical, Mathematical and Computational Physics | Consistency | Quantum Physics | Z-Invariance | Physics | Lattice | Laplace | Statistical Physics and Dynamical Systems | ABS | Physical Chemistry | Integrable | Consistent | Discrete | IRF | Star–star | Vector | Yang–Baxter | Star-star | YANG-BAXTER EQUATION | CLASSIFICATION | Yang-Baxter | PHYSICS, MATHEMATICAL | LATTICE MODELS

Journal Article

Physical review. X, ISSN 2160-3308, 2016, Volume 6, Issue 4, p. 041065

.... Up to now, the strong dichotomy observed between integrable and nonintegrable evolutions made an overarching theory difficult to build, especially for transport phenomena where space-time profiles...

CHAIN | MODELS | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | ULTRACOLD GASES | MATRICES | ATOMS | NONEQUILIBRIUM STATES | LATTICE | THERMODYNAMIC BETHE-ANSATZ | TONKS-GIRARDEAU GAS

CHAIN | MODELS | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | ULTRACOLD GASES | MATRICES | ATOMS | NONEQUILIBRIUM STATES | LATTICE | THERMODYNAMIC BETHE-ANSATZ | TONKS-GIRARDEAU GAS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2015, Volume 2015, Issue 10, pp. 1 - 47

We discuss connections between certain classes of supersymmetric quiver gauge theories and integrable lattice models from the point of view of topological quantum field theories (TQFTs...

Brane Dynamics in Gauge Theories | Lattice Integrable Models | Supersymmetric gauge theory | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | YANG-BAXTER EQUATION | N=1 | FIELD-THEORIES | ELLIPTIC BETA-INTEGRALS | SUPERSYMMETRIC VACUA | BRANE TILINGS | DYNAMICS | DUALITY | OPERATORS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | String theory | Analysis | Models | Supersymmetry | Gauge theory | M theory | Lattices | Texts | Mathematical models | Three dimensional models | Branes

Brane Dynamics in Gauge Theories | Lattice Integrable Models | Supersymmetric gauge theory | Topological Field Theories | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | YANG-BAXTER EQUATION | N=1 | FIELD-THEORIES | ELLIPTIC BETA-INTEGRALS | SUPERSYMMETRIC VACUA | BRANE TILINGS | DYNAMICS | DUALITY | OPERATORS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS | String theory | Analysis | Models | Supersymmetry | Gauge theory | M theory | Lattices | Texts | Mathematical models | Three dimensional models | Branes

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 01/2017, Volume 32, Issue 3, p. 1730003

... = 1 supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models...

integrable lattice models | topological quantum field theories | Branes | YANG-BAXTER EQUATION | GAUGE-THEORIES | N=1 | FIELD-THEORIES | TILINGS | PHYSICS, NUCLEAR | INDEX | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

integrable lattice models | topological quantum field theories | Branes | YANG-BAXTER EQUATION | GAUGE-THEORIES | N=1 | FIELD-THEORIES | TILINGS | PHYSICS, NUCLEAR | INDEX | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2011, Volume 44, Issue 10, pp. 103001 - 146

T- and Y-systems are ubiquitous structures in classical and quantum integrable systems...

DIFFERENCE L OPERATORS | CONFORMAL FIELD-THEORY | MOBIUS-INVERSION FORMULA | PHYSICS, MULTIDISCIPLINARY | QUANTUM AFFINE ALGEBRAS | FUNCTIONAL DILOGARITHM IDENTITIES | SOLVABLE LATTICE MODELS | FINITE-DIMENSIONAL REPRESENTATIONS | CLUSTER ALGEBRAS | PHYSICS, MATHEMATICAL | THERMODYNAMIC BETHE-ANSATZ | FACTORIZED S-MATRIX | Algebra | Mathematical analysis | Ideal gas | Field theory | Mathematical models | Schroedinger equation | Statistics | Combinatorial analysis

DIFFERENCE L OPERATORS | CONFORMAL FIELD-THEORY | MOBIUS-INVERSION FORMULA | PHYSICS, MULTIDISCIPLINARY | QUANTUM AFFINE ALGEBRAS | FUNCTIONAL DILOGARITHM IDENTITIES | SOLVABLE LATTICE MODELS | FINITE-DIMENSIONAL REPRESENTATIONS | CLUSTER ALGEBRAS | PHYSICS, MATHEMATICAL | THERMODYNAMIC BETHE-ANSATZ | FACTORIZED S-MATRIX | Algebra | Mathematical analysis | Ideal gas | Field theory | Mathematical models | Schroedinger equation | Statistics | Combinatorial analysis

Journal Article

Nuclear physics. B, ISSN 0550-3213, 2014, Volume 880, Issue 1, pp. 225 - 246

We derive two new classes of integrable theories interpolating between exact CFT WZW or gauged WZW models and non-Abelian T-duals of principal chiral models or geometric coset models...

LIMITS | ALGEBRAS | MODELS | BAXTER | PARAFERMIONS | NONLOCAL CHARGES | PHYSICS, PARTICLES & FIELDS | High Energy Physics | Mathematical Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory | Lattice

LIMITS | ALGEBRAS | MODELS | BAXTER | PARAFERMIONS | NONLOCAL CHARGES | PHYSICS, PARTICLES & FIELDS | High Energy Physics | Mathematical Physics | Nuclear and High Energy Physics | Theory | High Energy Physics - Theory | Lattice

Journal Article

Russian mathematical surveys, ISSN 1468-4829, 2015, Volume 70, Issue 5, pp. 789 - 856

Relations between quantum integrable models solvable by the quantum inverse scattering method and some aspects of enumerative combinatorics and partition theory are discussed...

Heisenberg magnet | Correlation functions | Symmetric functions | Four-vertex model | Generating functions | Plane partitions | plane partitions | symmetric functions | QUANTUM | BEHAVIOR | generating functions | XXO HEISENBERG CHAIN | LIMIT | 6-VERTEX MODEL | correlation functions | MATHEMATICS | four-vertex model | BINOMIAL DETERMINANTS | YOUNG TABLEAUX | FRIENDLY WALKERS | VICIOUS WALKERS | Partitions | Correlation | Asymptotic properties | Mathematical analysis | Lattices | Mathematical models | Form factors | Combinatorial analysis

Heisenberg magnet | Correlation functions | Symmetric functions | Four-vertex model | Generating functions | Plane partitions | plane partitions | symmetric functions | QUANTUM | BEHAVIOR | generating functions | XXO HEISENBERG CHAIN | LIMIT | 6-VERTEX MODEL | correlation functions | MATHEMATICS | four-vertex model | BINOMIAL DETERMINANTS | YOUNG TABLEAUX | FRIENDLY WALKERS | VICIOUS WALKERS | Partitions | Correlation | Asymptotic properties | Mathematical analysis | Lattices | Mathematical models | Form factors | Combinatorial analysis

Journal Article

The journal of high energy physics, ISSN 1029-8479, 2017, Volume 2017, Issue 11, pp. 1 - 49

.... We extend these results to integrable lattice models such as the transverse field Ising model on a one-dimensional chain and the Kitaev model on a two-dimensional honeycomb lattice using a nonlinear...

Lattice Integrable Models | Integrable Field Theories | Holography and condensed matter physics (AdS/CMT) | Nuclear and High Energy Physics | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | QUANTUM PHASE-TRANSITION | SYSTEMS | NONEQUILIBRIUM DYNAMICS | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Honeycomb construction | Two dimensional models | Scaling | Ising model | Field theory | Critical point | Quenching (cooling) | High Energy Physics | Condensed Matter - Strongly Correlated Electrons | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory | Lattice | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Lattice Integrable Models | Integrable Field Theories | Holography and condensed matter physics (AdS/CMT) | Nuclear and High Energy Physics | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | QUANTUM PHASE-TRANSITION | SYSTEMS | NONEQUILIBRIUM DYNAMICS | PHYSICS, PARTICLES & FIELDS | Operators (mathematics) | Honeycomb construction | Two dimensional models | Scaling | Ising model | Field theory | Critical point | Quenching (cooling) | High Energy Physics | Condensed Matter - Strongly Correlated Electrons | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory | Lattice | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Journal Article

JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 05/2019, Volume 2019, Issue 5, pp. 1 - 18

The off-diagonal Bethe ansatz method is generalized to the integrable model associated with the sp(4) (or C-2) Lie algebra...

XXZ CHAIN | Lattice Integrable Models | SEGMENT | ALGEBRAIC BETHE-ANSATZ | STATE | Bethe Ansatz | MODEL | PHYSICS, PARTICLES & FIELDS | Algebra | Operators (mathematics) | Eigenvalues | Boundary conditions | Transfer matrices | Lie groups | Eigen values

XXZ CHAIN | Lattice Integrable Models | SEGMENT | ALGEBRAIC BETHE-ANSATZ | STATE | Bethe Ansatz | MODEL | PHYSICS, PARTICLES & FIELDS | Algebra | Operators (mathematics) | Eigenvalues | Boundary conditions | Transfer matrices | Lie groups | Eigen values

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 7/2019, Volume 2019, Issue 7, pp. 1 - 45

.... As an application of this new approach, we show that the recently constructed multi-parametric integrable deformations of the principal chiral model are the dressing cosets, they are therefore...

Integrable Field Theories | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ETA | LIE T-DUALITY | SIGMA-MODELS | POISSON | OPEN STRINGS | LAMBDA-DEFORMATIONS | FAMILY | PHYSICS, PARTICLES & FIELDS | Gaging | Deformation | Gauging | Physics - High Energy Physics - Theory

Integrable Field Theories | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ETA | LIE T-DUALITY | SIGMA-MODELS | POISSON | OPEN STRINGS | LAMBDA-DEFORMATIONS | FAMILY | PHYSICS, PARTICLES & FIELDS | Gaging | Deformation | Gauging | Physics - High Energy Physics - Theory

Journal Article