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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Cited by in corpus (9)

• What is an integrable quench?
• Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Exact solution for the quench dynamics of a nested integrable system
• 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
• Variations on vacuum decay: the scaling Ising and tricritical Ising field theories
• Entanglement dynamics of thermofield double states in integrable models