Quantum quench in the sine-Gordon model

Abstract

We consider the time evolution in the repulsive sine-Gordon quantum field theory after the system is prepared in a particular class of initial states. We focus on the time dependence of the one-point function of the semi-local operator $\exp (i\beta \Phi (x)/2)$. By using two different methods based on form-factor expansions, we show that this expectation value decays to zero exponentially, and we determine the decay rate by analytical means. Our methods generalise to other correlation functions and integrable models.

41 pages, 1 figure, some typos corrected

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• Entanglement spreading in non-equilibrium integrable systems
• The quantum sine-Gordon model with quantum circuits
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• Equilibration Properties of Classical Integrable Field Theories
• Overlaps after quantum quenches in the sine-Gordon model
• Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
• Quantum Quenches in the Luttinger model and its close relatives
• On the theory of quantum quenches in near-critical systems
• Pre-relaxation in weakly interacting models
• Quantum quenches to the attractive one-dimensional Bose gas: exact results
• Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
• Rényi entropies after releasing the Néel state in the XXZ spin-chain
• Memory-preserving equilibration after a quantum quench in a 1d critical model
• Exact solution for the quench dynamics of a nested integrable system
• Relaxation dynamics of local observables in integrable systems
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• Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
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• Quench action and large deviations: work statistics in the one-dimensional Bose gas
• Preparing and Analyzing Solitons in the sine-Gordon Model with Quantum Gas Microscopes
• Exact formulas for the form factors of local operators in the Lieb-Liniger model
• Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
• $Large-scale$ thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
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• Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
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• Thermalization with chemical potentials, and higher spin black holes
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• Solution of the BEC to BCS Quench in One Dimension
• Equilibration and GGE in interacting-to-free Quantum Quenches in dimensions d>1
• Chiral entanglement in massive quantum field theories in 1+1 dimensions
• Perturbative post-quench overlaps in Quantum Field Theory
• Quantum sine-Gordon dynamics in coupled spin chains
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• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems