Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
arXiv:2103.08492 · doi:10.21468/SciPostPhys.10.6.132
Abstract
The quantum sine-Gordon model is the simplest massive interacting integrable quantum field theory whose two-particle scattering matrix is generally non-diagonal. As such, it is a model that has been extensively studied, especially in the context of the bootstrap programme. In this paper we compute the form factors of a special local field known as the branch point twist field, whose correlation functions are building blocks for measures of entanglement. We consider the attractive regime where the theory posesses a particle spectrum consisting of a soliton, an antisoliton (of opposite charges) and several (neutral) breathers. In the breather sector we exploit the fusion procedure to compute form factors of heavier breathers from those of lighter ones. We apply our results to the study of the entanglement dynamics after a small mass quench and for short times. We show that in the presence of two or more breathers the von Neumann and Rényi entropies display undamped oscillations in time, whose frequencies are proportional to the even breather masses and whose amplitudes are proportional to the breather's one-particle form factor.
arXiv comment35 pages; 9 figures; 3 tables
References in corpus (45)
- Entanglement Entropy and Quantum Field Theory
- Quantum Quenches in Extended Systems
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Exact expectation values of local fields in quantum sine-Gordon model
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Exact Form Factors in Integrable Quantum Field Theories: the Sine-Gordon Model
- On the Operator Content of the Sinh-Gordon Model
- Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model
- Free Field Representation For Massive Integrable Models
- Asymptotic factorisation of form factors in two-dimensional quantum field theory
- Form-factors of exponential fields in the sine-Gordon model
- Exact form factors in integrable quantum field theories: the sine-Gordon model (II)
- Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
- Entanglement Oscillations near a Quantum Critical Point
- Symmetry resolved entanglement in integrable field theories via form factor bootstrap
- Towards the Construction of Wightman Functions of Integrable Quantum Field Theories
- U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap
- Bi-partite entanglement entropy in massive two-dimensional quantum field theory
- On the theory of quantum quenches in near-critical systems
- Hidden Grassmann structure in the XXZ model V: sine-Gordon model
- Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model
- Angular quantization and form-factors in massive integrable models
- Quantum quenches with integrable pre-quench dynamics
- Universal ratios along a line of critical points. The Ashkin--Teller model
- Quench dynamics of the Ising field theory in a magnetic field
- Sine-Gordon breather form factors and quantum field equations
- Overlap singularity and time evolution in integrable quantum field theory
- Sine-Gordon form factors in finite volume
- Bi-partite entanglement entropy in integrable models with backscattering
- Characterization of resonances using finite size effects
- Fermionic structure in the sine-Gordon model: form factors and null-vectors
- Off-critical correlations in the Ashkin-Teller model
- Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
- Form factor perturbation theory from finite volume
- Renormalization group flow with unstable particles
- Diagonal multi-soliton matrix elements in finite volume
- Sine-Gordon multi-soliton form factors in finite volume
- Perturbative post-quench overlaps in Quantum Field Theory
- The Exact Quantum Sine-Gordon Field Equation and Other Non-Perturbative Results
- Higher particle form factors of branch point twist fields in integrable quantum field theories
- Fermionic screening operators in the sine-Gordon model
- Finite temperature one-point functions in non-diagonal integrable field theories: the sine-Gordon model
- Relaxation and entropy generation after quenching quantum spin chains
- Breather boundary form factors in sine-Gordon theory
Cited by in corpus (10)
- Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
- Symmetry Resolved Measures in Quantum Field Theory: a Short Review
- Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation
- Post-Quantum Quench Growth of Renyi Entropies in Low Dimensional Continuum Bosonic Systems
- Robust effective ground state in a nonintegrable Floquet quantum circuit
- A study of integrable form factors in massless relativistic AdS_3
- Quantum quenches from an excited state
- Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
- Exact mapping from the -dimensional Skyrme model to the -dimensional sine-Gordon theory and some applications
- Entanglement of Stationary States in the Presence of Unstable Quasiparticles