On the theory of quantum quenches in near-critical systems

Abstract

The theory of quantum quenches in near-critical one-dimensional systems formulated in [J. Phys. A 47 (2014) 402001] yields analytic predictions for the dynamics, unveils a qualitative difference between non-interacting and interacting systems, with undamped oscillations of one-point functions occurring only in the latter case, and explains the presence and role of different time scales. Here we examine additional aspects, determining in particular the relaxation value of one-point functions for small quenches. For a class of quenches we relate this value to the scaling dimensions of the operators. We argue that the $E_8$ spectrum of the Ising chain can be more accessible through a quench than at equilibrium, while for a quench of the plane anisotropy in the XYZ chain we obtain that the one-point function of the quench operator switches from damped to undamped oscillations at $\Delta =1/2$.

19 pages, 3 figures, 1 table; published version with comments and appendix added

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• Entanglement dynamics in confining spin chains
• Quantum quench in the attractive regime of the sine-Gordon model
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
• Quantum computing critical exponents
• Variations on vacuum decay: the scaling Ising and tricritical Ising field theories
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• Persistent oscillations after quantum quenches in $d$ dimensions
• Quantum quenches in an interacting field theory: full quantum evolution vs. semi-classical approximations
• Branch Point Twist Field Form Factors in the sine-Gordon Model I: Breather Fusion and Entanglement Dynamics
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Entanglement dynamics of thermofield double states in integrable models
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• Entanglement Rényi Entropies from Ballistic Fluctuation Theory: the free fermionic case
• Magnetization oscillations in a periodically driven transverse field Ising chain
• Quantum quenches from an excited state
• Relaxation dynamics of integrable field theories after a global quantum quench
• On unitary time evolution out of equilibrium
• Berry connection and quantum geometry in time-dependent systems with instantaneous quantum integrable field theory
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles
• Quantum quenches in the sinh-Gordon and Lieb-Liniger models
• Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
• Quantum quenches with long range interactions