Physical review. B, Condensed matter and materials physics, ISSN 1550-235X, 2014, Volume 90, Issue 8

We consider the nonequilibrium dynamics of a system of interacting massless fermions in a ring threaded by a magnetic flux. We focus on the quench where the...

CHAIN | GASES | PHYSICS, CONDENSED MATTER | SPIN CORRELATION-FUNCTIONS | FREDHOLM DETERMINANTS

CHAIN | GASES | PHYSICS, CONDENSED MATTER | SPIN CORRELATION-FUNCTIONS | FREDHOLM DETERMINANTS

Journal Article

EPL (Europhysics Letters), ISSN 0295-5075, 10/2011, Volume 96, Issue 2, p. 27002

We show how the phenomenon of factorization in a quantum many-body system is of collective nature. To this aim we study the quantum discord Q in the...

CHAIN | SPIN-CORRELATION FUNCTIONS | MODEL | PHYSICS, MULTIDISCIPLINARY | QUANTUM | ENTANGLEMENT

CHAIN | SPIN-CORRELATION FUNCTIONS | MODEL | PHYSICS, MULTIDISCIPLINARY | QUANTUM | ENTANGLEMENT

Journal Article

Reviews of modern physics, ISSN 0034-6861, 2011, Volume 83, Issue 4, pp. 1405 - 1466

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with results from exactly solvable models and computational approaches, the...

QUANTUM MONTE-CARLO | MATRIX RENORMALIZATION-GROUP | METAL-INSULATOR-TRANSITION | ANTIFERROMAGNETIC HEISENBERG-CHAINS | PHYSICS, MULTIDISCIPLINARY | MANY-BODY PROBLEM | DYNAMIC CORRELATION-FUNCTIONS | SPIN CORRELATION-FUNCTIONS | KINETIC-ENERGY DENSITIES | BOSE-EINSTEIN CONDENSATION | LONG-RANGE ORDER | Measurement | Usage | Boundary value problems | Frequency modulation | Josephson junction | Boltzmann constant | Perturbation (Mathematics) | Quantum wells | Innovations | Technology application | Analysis | Gaussian processes | Eigenvalues | Kinetic energy | Strongly Correlated Electrons | Condensed Matter | Quantum Gases | Physics

QUANTUM MONTE-CARLO | MATRIX RENORMALIZATION-GROUP | METAL-INSULATOR-TRANSITION | ANTIFERROMAGNETIC HEISENBERG-CHAINS | PHYSICS, MULTIDISCIPLINARY | MANY-BODY PROBLEM | DYNAMIC CORRELATION-FUNCTIONS | SPIN CORRELATION-FUNCTIONS | KINETIC-ENERGY DENSITIES | BOSE-EINSTEIN CONDENSATION | LONG-RANGE ORDER | Measurement | Usage | Boundary value problems | Frequency modulation | Josephson junction | Boltzmann constant | Perturbation (Mathematics) | Quantum wells | Innovations | Technology application | Analysis | Gaussian processes | Eigenvalues | Kinetic energy | Strongly Correlated Electrons | Condensed Matter | Quantum Gases | Physics

Journal Article

4.
Full Text
Lattice approach to finite volume form-factors of the Massive Thirring (Sine-Gordon) model

Journal of High Energy Physics, ISSN 1126-6708, 8/2017, Volume 2017, Issue 8, pp. 1 - 31

In this paper we demonstrate, that the light-cone lattice approach for the Massive-Thirring (sine-Gordon) model, through the quantum inverse scattering method,...

Lattice Integrable Models | Integrable Field Theories | Quantum Physics | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DYNAMICAL CORRELATION-FUNCTIONS | NONLINEAR INTEGRAL-EQUATION | BETHE-ANSATZ | EXCITED-STATES | XXZ CHAIN | SPIN CORRELATION-FUNCTIONS | MAGNETIC-FIELD | QFT | SCALING FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Models | Operators | Uranium | Inverse scattering | Elastic scattering

Lattice Integrable Models | Integrable Field Theories | Quantum Physics | Bethe Ansatz | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | DYNAMICAL CORRELATION-FUNCTIONS | NONLINEAR INTEGRAL-EQUATION | BETHE-ANSATZ | EXCITED-STATES | XXZ CHAIN | SPIN CORRELATION-FUNCTIONS | MAGNETIC-FIELD | QFT | SCALING FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Thermodynamics | Analysis | Models | Operators | Uranium | Inverse scattering | Elastic scattering

Journal Article

5.
Full Text
Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems

Journal of statistical physics, ISSN 1572-9613, 2019, Volume 175, Issue 6, pp. 1164 - 1213

Topological phases protected by symmetry can occur in gapped and—surprisingly—in critical systems. We consider non-interacting fermions in one dimension with...

Conformal field theory | Physical Chemistry | Toeplitz determinants | Theoretical, Mathematical and Computational Physics | Quantum Physics | Topological insulators | Universality | Symmetry-protected topological phases | Physics | Statistical Physics and Dynamical Systems | FISHER-HARTWIG CONJECTURE | SPIN CORRELATION-FUNCTIONS | 2-DIMENSIONAL ISING-MODEL | PHYSICS, MATHEMATICAL

Conformal field theory | Physical Chemistry | Toeplitz determinants | Theoretical, Mathematical and Computational Physics | Quantum Physics | Topological insulators | Universality | Symmetry-protected topological phases | Physics | Statistical Physics and Dynamical Systems | FISHER-HARTWIG CONJECTURE | SPIN CORRELATION-FUNCTIONS | 2-DIMENSIONAL ISING-MODEL | PHYSICS, MATHEMATICAL

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 03/2014, Volume 89, Issue 3, p. 032105

The q-state Potts model with long-range correlated disorder is studied by means of large-scale Monte Carlo simulations for q = 2, 4, 8, and 16. Evidence is...

MONTE-CARLO | RENORMALIZATION-GROUP | ASHKIN-TELLER MODEL | PHYSICS, FLUIDS & PLASMAS | SPIN CORRELATION-FUNCTIONS | RANDOM-SYSTEMS | 3D ISING-MODEL | BOND DILUTION | TRANSITIONS | PHYSICS, MATHEMATICAL | QUENCHED DISORDER | CRITICAL-POINTS

MONTE-CARLO | RENORMALIZATION-GROUP | ASHKIN-TELLER MODEL | PHYSICS, FLUIDS & PLASMAS | SPIN CORRELATION-FUNCTIONS | RANDOM-SYSTEMS | 3D ISING-MODEL | BOND DILUTION | TRANSITIONS | PHYSICS, MATHEMATICAL | QUENCHED DISORDER | CRITICAL-POINTS

Journal Article

Quantum Information and Computation, ISSN 1533-7146, 06/2017, Volume 17, Issue 7-8, pp. 636 - 672

Estimation of the minimum eigenvalue of a quantum Hamiltonian can be formalised as the Local Hamiltonian problem. We study the natural special case of the...

QMA-completeness | Perturbative gadgets | Local Hamiltonian problem | 2D lattices | SPIN-CORRELATION-FUNCTIONS | CHAIN | COMPUTATIONAL-COMPLEXITY | XY-MODEL | COMPUTER SCIENCE, THEORY & METHODS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

QMA-completeness | Perturbative gadgets | Local Hamiltonian problem | 2D lattices | SPIN-CORRELATION-FUNCTIONS | CHAIN | COMPUTATIONAL-COMPLEXITY | XY-MODEL | COMPUTER SCIENCE, THEORY & METHODS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Journal Article

8.
Full Text
The Ising and anisotropy phase transitions of the periodic XY model in a transverse field

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2010, Volume 43, Issue 50, p. 505302

It is found that, for a periodic XY chain, the competition between periodicity and anisotropy gives rise to more than one phase-transition point at some...

CHAIN | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | SPIN-CORRELATION FUNCTIONS | STATISTICAL MECHANICS | PHYSICS, MATHEMATICAL | ENTROPY

CHAIN | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | SPIN-CORRELATION FUNCTIONS | STATISTICAL MECHANICS | PHYSICS, MATHEMATICAL | ENTROPY

Journal Article

Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 05/2013, Volume 87, Issue 18

The one-dimensional transverse field Ising model is solved by continuous unitary transformations in the high-field limit. A high accuracy is reached due to the...

CHAIN | PERTURBATION-THEORY | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | EXCITATIONS | DIMENSIONAL XY-MODEL | FLOW EQUATIONS | SUSCEPTIBILITIES | MATERIALS SCIENCE, MULTIDISCIPLINARY | DYNAMIC CORRELATION-FUNCTIONS | SPIN CORRELATION-FUNCTIONS | RENORMALIZATION

CHAIN | PERTURBATION-THEORY | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | EXCITATIONS | DIMENSIONAL XY-MODEL | FLOW EQUATIONS | SUSCEPTIBILITIES | MATERIALS SCIENCE, MULTIDISCIPLINARY | DYNAMIC CORRELATION-FUNCTIONS | SPIN CORRELATION-FUNCTIONS | RENORMALIZATION

Journal Article

Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 03/2014, Volume 89, Issue 12

We show how the entanglement contained in states of spins arranged on a lattice may be lower bounded with observables arising in scattering experiments. We...

CHAIN | LA2CUO4 | PHYSICS, CONDENSED MATTER | EXCITATIONS | QUANTUM | SPIN-CORRELATION FUNCTIONS | DYNAMICS | STATE | HEISENBERG-ANTIFERROMAGNET | CRITICAL MAGNETIC SCATTERING | ENTROPY

CHAIN | LA2CUO4 | PHYSICS, CONDENSED MATTER | EXCITATIONS | QUANTUM | SPIN-CORRELATION FUNCTIONS | DYNAMICS | STATE | HEISENBERG-ANTIFERROMAGNET | CRITICAL MAGNETIC SCATTERING | ENTROPY

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2016, Volume 49, Issue 10, p. 104002

In the present article we study the form factors of quantum integrable lattice models solvable by the separation of variables (SoVs) method. It was recently...

quantum integrable models | quantum separation of variables | exactly solved models | PHYSICS, MULTIDISCIPLINARY | DYNAMICAL CORRELATION-FUNCTIONS | GORDON MODEL | PHYSICS, MATHEMATICAL | BAZHANOV-STROGANOV MODEL | BETHE-ANSATZ | TODA CHAIN | HIDDEN GRASSMANN STRUCTURE | HEISENBERG CHAIN | SPIN CORRELATION-FUNCTIONS | MAGNETIC-FIELD | BAXTER EQUATION | Algebra | Mathematical analysis | Lattices | Determinants | Scalars | Mathematical models | Representations | Form factors | Statistical Mechanics | Mathematical Physics | Condensed Matter | Nonlinear Sciences | Exactly Solvable and Integrable Systems | High Energy Physics - Theory | Physics

quantum integrable models | quantum separation of variables | exactly solved models | PHYSICS, MULTIDISCIPLINARY | DYNAMICAL CORRELATION-FUNCTIONS | GORDON MODEL | PHYSICS, MATHEMATICAL | BAZHANOV-STROGANOV MODEL | BETHE-ANSATZ | TODA CHAIN | HIDDEN GRASSMANN STRUCTURE | HEISENBERG CHAIN | SPIN CORRELATION-FUNCTIONS | MAGNETIC-FIELD | BAXTER EQUATION | Algebra | Mathematical analysis | Lattices | Determinants | Scalars | Mathematical models | Representations | Form factors | Statistical Mechanics | Mathematical Physics | Condensed Matter | Nonlinear Sciences | Exactly Solvable and Integrable Systems | High Energy Physics - Theory | Physics

Journal Article

Journal of Physics: Condensed Matter, ISSN 0953-8984, 11/2010, Volume 22, Issue 43, p. 436003

Using Monte Carlo simulations we investigate magnetic hysteresis in two- and three-dimensional systems of weakly antiferromagnetically coupled spin chains...

SPIN-CORRELATION-FUNCTIONS | TRANSITION | PHYSICS, CONDENSED MATTER | FILMS | TEMPERATURE | SLOW DYNAMICS | STATE | DIPOLAR FLUIDS | SIMULATION | HARD MAGNETS | COERCIVITY

SPIN-CORRELATION-FUNCTIONS | TRANSITION | PHYSICS, CONDENSED MATTER | FILMS | TEMPERATURE | SLOW DYNAMICS | STATE | DIPOLAR FLUIDS | SIMULATION | HARD MAGNETS | COERCIVITY

Journal Article

Journal of statistical mechanics, ISSN 1742-5468, 2012, Volume 2012, Issue 9, pp. P09001 - 33

We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we...

Quantum gases | Correlation functions | Critical exponents and amplitudes (theory) | Correlation functions (theory) | quantum gases | PAINLEVE-V FUNCTIONS | IMPENETRABLE BOSONS | LUTTINGER LIQUIDS | PHYSICS, MATHEMATICAL | correlation functions | QUANTUM-FIELD-THEORY | SPIN-CORRELATION-FUNCTIONS | DIMENSIONAL BOSE-GAS | MECHANICS | CONFORMAL-INVARIANCE | HEISENBERG CHAIN | critical exponents and amplitudes (theory) | TRANSVERSE ISING CHAIN | CONNECTION FORMULAS | correlation functions (theory) | Liquids | Asymptotic properties | Mathematical analysis | Derivation | Nonlinearity | Mathematical models | Schroedinger equation | Form factors | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Mathematical Physics | High Energy Physics - Theory | Physics

Quantum gases | Correlation functions | Critical exponents and amplitudes (theory) | Correlation functions (theory) | quantum gases | PAINLEVE-V FUNCTIONS | IMPENETRABLE BOSONS | LUTTINGER LIQUIDS | PHYSICS, MATHEMATICAL | correlation functions | QUANTUM-FIELD-THEORY | SPIN-CORRELATION-FUNCTIONS | DIMENSIONAL BOSE-GAS | MECHANICS | CONFORMAL-INVARIANCE | HEISENBERG CHAIN | critical exponents and amplitudes (theory) | TRANSVERSE ISING CHAIN | CONNECTION FORMULAS | correlation functions (theory) | Liquids | Asymptotic properties | Mathematical analysis | Derivation | Nonlinearity | Mathematical models | Schroedinger equation | Form factors | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Mathematical Physics | High Energy Physics - Theory | Physics

Journal Article

Journal of statistical mechanics, ISSN 1742-5468, 2011, Volume 2011, Issue 12, p. P12010

We propose a form factor approach for the computation of the large distance asymptotic behavior of correlation functions in quantum critical (integrable)...

form factors | correlation functions | critical exponents and amplitudes (theory) | quantum integrability (Bethe ansatz) | QUANTUM FIELD-THEORY | DIMENSIONAL SYSTEMS | LOCAL-FIELDS | REPRESENTATION | OPERATOR CONTENT | PHYSICS, MATHEMATICAL | EXPECTATION VALUES | XXZ CHAIN | MECHANICS | CONFORMAL-INVARIANCE | SINH-GORDON | SPIN CORRELATION-FUNCTIONS | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Mathematical Physics | High Energy Physics - Theory | Physics

form factors | correlation functions | critical exponents and amplitudes (theory) | quantum integrability (Bethe ansatz) | QUANTUM FIELD-THEORY | DIMENSIONAL SYSTEMS | LOCAL-FIELDS | REPRESENTATION | OPERATOR CONTENT | PHYSICS, MATHEMATICAL | EXPECTATION VALUES | XXZ CHAIN | MECHANICS | CONFORMAL-INVARIANCE | SINH-GORDON | SPIN CORRELATION-FUNCTIONS | Nonlinear Sciences | Exactly Solvable and Integrable Systems | Mathematical Physics | High Energy Physics - Theory | Physics

Journal Article

International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 06/2018, Volume 19, Issue 3, pp. 1 - 6

We study an integral expression that is encountered in some classical spin models of magnetism. The idea is to calculate the key integral that represents the...

Function Theory and Analysis | 01.55.+b | General Physics | numbers | 02.30.-f | Theory and Modeling | 73.43.Cd | SPIN-CORRELATION-FUNCTIONS | MATHEMATICS, APPLIED | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CLUSTERS | STATE | PHYSICS, MATHEMATICAL | HEISENBERG-MODEL | Numerical integration | Computer simulation | Integral equations | Partitions (mathematics) | Magnetism | Mathematical models | Bessel functions | Monte Carlo simulation

Function Theory and Analysis | 01.55.+b | General Physics | numbers | 02.30.-f | Theory and Modeling | 73.43.Cd | SPIN-CORRELATION-FUNCTIONS | MATHEMATICS, APPLIED | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CLUSTERS | STATE | PHYSICS, MATHEMATICAL | HEISENBERG-MODEL | Numerical integration | Computer simulation | Integral equations | Partitions (mathematics) | Magnetism | Mathematical models | Bessel functions | Monte Carlo simulation

Journal Article