Universal energy distribution of quasi-particles emitted in a local time dependent quench

Abstract

We study the emission of quasi-particles in the scaling limit of the 1d Quantum Ising chain at the critical point perturbed by a time dependent local transverse field. We compute \it exactly \rm and for a \it generic \rm time dependence the average value of the transverse magnetization, its correlation functions, as well as the statistic of both the inclusive and exclusive work. We show that, except for a cyclic perturbation, the probability distribution of the work at low energies is a power law whose exponent is universal, i.e. does not depend on the specific time dependent protocol, but only on the final value attained by the perturbation.

5 pages, 1 figure, Published Version

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Measuring entanglement using quantum quenches

Cited by in corpus (9)

• Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
• Large deviations and universality in quantum quenches
• The quantum Ising chain for beginners
• Quench echo and work statistics in integrable quantum field theories
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Kibble-Zurek mechanism in the Ising Field Theory
• Thermodynamics of decoherence
• Local Quench, Majorana Zero Modes, and Disturbance Propagation in the Ising chain
• Edge States Effects in Quantum Work Statistics