Article
Materials Science, Multidisciplinary
Stefano Scopa, Pasquale Calabrese, Alvise Bastianello
Summary: The confinement of elementary excitations in non-equilibrium quench dynamics induces the suppression and oscillation of entanglement entropy. In this study, we investigate this phenomenon in the weak quench limit and provide analytical predictions based on a Gaussian approximation of the many-body state. Our results accurately capture the numerical data and can be simplified to a semiclassical quasiparticle picture in the regime of weak confinement. We apply our methods to two prototypical models and find consistent results.
Article
Materials Science, Multidisciplinary
Wang Yang, Alberto Nocera, Paul Herringer, Robert Raussendorf, Ian Affleck
Summary: This work analyzes the nonsymmorphic symmetry-group structures of various generalized Kitaev spin chains and ladders with bond alternations. The study provides insights into the symmetry-breaking patterns of magnetically ordered phases and the dimerization order parameters in the bond-alternating Kitaev-Gamma spin chains. The findings are valuable for understanding magnetic phases in related models and guiding further investigations on the symmetry classifications of mean field solutions.
Article
Materials Science, Multidisciplinary
Ruoshui Wang, Yijian Zou, Guifre Vidal
Summary: This paper investigates the emergence of Kac-Moody symmetry in a critical quantum spin chain with microscopic Lie group symmetry. The authors propose a method to construct lattice operators corresponding to Kac-Moody generators and numerically show their effectiveness in low-energy states. The lattice version of Kac-Moody generators allows for the computation of the level constant and organization of low-energy eigenstates.
Article
Physics, Mathematical
Rouven Frassek, Ivan Karpov, Alexander Tsymbaliuk
Summary: In this article, we investigate the transfer matrices of irreducible finite-dimensional representations of classical Lie algebras g, with a highest weight that is a multiple of a fundamental one. These transfer matrices can be expressed using transfer matrices of certain infinite-dimensional highest weight representations in the auxiliary space. We also factorize the corresponding infinite-dimensional transfer matrices into products of Baxter Q-operators, based on our previous study of degenerate Lax matrices. Our approach relies on the new BGG-type resolutions of finite-dimensional g-modules, which naturally arise as restricted duals in the geometric setting.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Materials Science, Multidisciplinary
Joseph Vovrosh, Hongzheng Zhao, Johannes Knolle, Alvise Bastianello
Summary: The interplay between impurity and confinement physics in a basic spin chain setup is investigated, showing the emergence of exotic excitations as impurity-meson bound states with a long lifetime.
Article
Mechanics
Federico Rottoli, Sara Murciano, Erik Tonni, Pasquale Calabrese
Summary: We investigate the ground-state entanglement Hamiltonian of massless Dirac fermions on the half-line for multiple disjoint intervals. It comprises a local part and a bi-local term that couples each point to another one in each interval. The bi-local operator can be either diagonal or mixed in fermionic chiralities and it is sensitive to the boundary conditions. Understanding this entanglement Hamiltonian is crucial in evaluating the negativity Hamiltonian, which characterizes the entanglement of subsystems in mixed states. We find that the negativity Hamiltonian inherits the structure of the corresponding entanglement Hamiltonian. Finally, we demonstrate how the continuum expressions for both operators can be obtained from exact numerical computations in free-fermion chains.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2023)
Article
Physics, Multidisciplinary
Song He
Summary: In this study, we investigated generic n-point correlation functions of conformal field theories (CFTs) with TT and JT deformations using the perturbative CFT approach. We systematically derived the first order correction to the generic correlation functions of CFTs with TT or JT deformation. The computation of the out of time ordered correlation function (OTOC) in the Ising model with TT or JT deformation confirmed that these deformations do not alter the integrable property up to the first order level.
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
(2021)
Article
Mechanics
Dalson Eloy Almeida
Summary: This study investigates the effects of bond defects at the boundaries of Kitaev ladders on entanglement entropy, revealing logarithmic scaling and related implications. The phase transitions under different parameter settings are discussed, with an emphasis on the direct influence of defect strength on the effective central charge variation. Additionally, the relationship between systems with and without superconductivity, as well as the effects caused by defects, is introduced.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Materials Science, Multidisciplinary
Begona Mula, Eva M. Fernandez, Jose E. Alvarellos, Julio J. Fernandez, David Garcia-Aldea, Silvia N. Santalla, Javier Rodriguez-Laguna
Summary: This study shows that a subsystem of an entangled ground state is in a mixed state. Therefore, by isolating this subsystem from its surroundings, we can extract energy using unitary transformations, up to a maximal amount known as ergotropy. After the energy is extracted, the subsystem still contains some bound energy above its local ground state, providing valuable information about the entanglement structure. The study also suggests that the bound energy for half a free fermionic chain decays as the square of the entanglement entropy divided by the chain length and this relation may hold for all one-dimensional critical states.
Article
Physics, Particles & Fields
Federico Finkel, Artemio Gonzalez-Lopez
Summary: This study introduces a family of inhomogeneous XX spin chains and investigates the asymptotic approximation of Renyi entanglement entropy under constant magnetic field at half filling. The results show a good agreement with numerical calculations and also highlight the behavior in non-standard scenarios.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Mechanics
Gavin Rockwood
Summary: The N interval replicated negativity for the Ising conformal field theory is calculated using correlation functions of branch point twist fields, leading to formulas that align with known results.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Materials Science, Multidisciplinary
Christopher M. Langlett, Shenglong Xu
Summary: This work introduces a family of spin-1/2 many-body Hamiltonians based on the Fredkin spin chain, featuring a fragmented Hilbert space and quantum many-body scars. Exact middle spectrum eigenstates are constructed to demonstrate logarithmic or area-law entanglement entropy within each fractured subsector. The interplay between fragmentation and scarring results in rich tunable nonergodic dynamics.
Article
Mechanics
Juanfernando Angel-Ramelli
Summary: In this study, the entanglement entropy of certain excited states of the quantum Lifshitz model (QLM) was calculated. The excited state entanglement entropy obeys an area law and is related to the entanglement entropy of the ground state by two universal constants, showing a logarithmic dependence on the excitation number when all excitations are put onto the same eigenmode.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Mechanics
Federico Rottoli, Stefano Scopa, Pasquale Calabrese
Summary: This study investigates the unitary time evolution of the entanglement Hamiltonian in a one-dimensional free Fermi lattice gas. By utilizing quantum fluctuating hydrodynamics, the researchers find that the effective field theory description of domain wall melting accurately captures the Euler scaling limit of the lattice gas.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Astronomy & Astrophysics
Dong Bai
Summary: In this Letter, the author investigates spin entanglement properties of neutron-proton scattering using the exact S-matrix. The study considers both S-wave and higher partial wave contributions and explores the dependence of spin entanglement on relative momentum, scattering angle, and initial spin configuration. The results reveal new connections between spin entanglement and symmetry emergence of strong interactions.