Initial states in integrable quantum field theory quenches from an integral equation hierarchy
arXiv:1510.01735 · doi:10.1016/j.nuclphysb.2015.11.025
Abstract
We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable quantum quenches. We construct and examine an infinite integral equation hierarchy based on the form factor bootstrap, proposed earlier as a set of conditions deter- mining the overlaps. Using quenches of the mass and interaction in Sinh-Gordon theory as a concrete example, we present theoretical arguments that the state has the squeezed coherent form expected for integrable quenches, and supporting an Ansatz for the solution of the hierarchy. Moreover we also develop an iterative method to solve numerically the lowest equation of the hierarchy. The iterative solution along with extensive numerical checks performed using the next equation of the hierarchy provide a strong numerical evidence that the proposed Ansatz gives a very good approximation for the solution.
36 pages, pdflatex file, 11 pdf figures. v2: revised version, accepted for publication
References in corpus (26)
- Quantum Quench in the Transverse Field Ising Chain
- Experimental Observation of a Generalized Gibbs Ensemble
- The Luttinger model following a sudden interaction switch-on
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Quantum quench dynamics of the Luttinger model
- Generalized Gibbs Ensembles for Quantum Field Theories
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Form factors in finite volume II:disconnected terms and finite temperature correlators
- Quasilocal conserved operators in isotropic Heisenberg spin 1/2 chain
- Quantum quench dynamics of the sine-Gordon model in some solvable limits
- Form factors in finite volume I: form factor bootstrap and truncated conformal space
- Dynamics in the Ising field theory after a quantum quench
- Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
- Quantum relaxation after a quench in systems with boundaries
- Stationary states in a free fermionic chain from the Quench Action Method
- Quantum quenches in the sine--Gordon model: a semiclassical approach
- Local and Quasilocal Conserved Quantities in Integrable Systems
- Memory-preserving equilibration after a quantum quench in a 1d critical model
- Separation of Timescales in a Quantum Newton's Cradle
- Quantum quenches with integrable pre-quench dynamics
- Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction
- Edge exponents in work statistics out of equilibrium and dynamical phase transitions from scattering theory in one dimensional gapped systems
- Quench echo and work statistics in integrable quantum field theories
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- Quench dynamics and relaxation in isolated integrable quantum spin chains
- The Quench Action
- What is an integrable quench?
- Roadmap on Atomtronics: State of the art and perspective
- Quench action and Renyi entropies in integrable systems
- Hamiltonian truncation approach to quenches in the Ising field theory
- Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
- Hybrid semiclassical theory of quantum quenches in one dimensional systems
- Entanglement spreading in non-equilibrium integrable systems
- Quantum quenches in the sine--Gordon model: a semiclassical approach
- Overlaps after quantum quenches in the sine-Gordon model
- Quantum Quenches in the Luttinger model and its close relatives
- Quantum quenches to the attractive one-dimensional Bose gas: exact results
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Exact solution for the quench dynamics of a nested integrable system
- Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
- Integrable Matrix Product States from boundary integrability
- Quench dynamics of the Ising field theory in a magnetic field
- Entanglement and diagonal entropies after a quench with no pair structure
- Overlap singularity and time evolution in integrable quantum field theory
- Rényi entropies of generic thermodynamic macrostates in integrable systems
- Overlaps with arbitrary two-site states in the XXZ spin chain
- Integrable quenches in nested spin chains I: the exact steady states
- Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
- Quantum quench in the attractive regime of the sine-Gordon model
- Kibble-Zurek mechanism in the Ising Field Theory
- Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
- LeClair-Mussardo series for two-point functions in Integrable QFT
- Chiral entanglement in massive quantum field theories in 1+1 dimensions
- How generalized hydrodynamics time evolution arises from a form factor expansion
- Perturbative post-quench overlaps in Quantum Field Theory
- Correlation and entanglement spreading in nested spin chains
- Quench Dynamics in Two-Dimensional Integrable SUSY Models
- On form factors of boundary changing operators
- Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
- Planar quantum quenches: Computation of exact time-dependent correlation functions at large
- Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
- TCSA and the finite volume boundary state
- Quasilocal Conservation Laws in the Quantum Hirota Model
- Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
- Integrable Floquet QFT: Elasticity and factorization under periodic driving
- Quantum quenches in the sinh-Gordon and Lieb-Liniger models
- Entanglement of Stationary States in the Presence of Unstable Quasiparticles
- Quantum quench and thermalization to GGE in arbitrary dimensions and the odd-even effect
- Time evolution of effective central charge and signatures of RG irreversibility after a quantum quench