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.

arXiv comment5 pages, 1 figure, Published Version

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• Work and Quantum Phase Transitions: Is there Quantum Latency?
• Statistics of the work done by splitting a one-dimensional quasi-condensate
• Work distribution and edge singularities for generic time-dependent protocols in extended systems
• Orthogonality catastrophe in dissipative quantum many body systems
• Statistics of the work distribution for a quenched Fermi gas
• Overlap distributions for quantum quenches in the anisotropic Heisenberg chain
• Quench echo and work statistics in integrable quantum field theories
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Quantum quenches and work distributions in ultra-low-density systems
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• Quenching the magnetic flux in 1d fermionic ring: Loschmidt echo and edge singularity
• Thermodynamics of decoherence
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• Local Quench, Majorana Zero Modes, and Disturbance Propagation in the Ising chain
• Transient Loschmidt Echo in Quenched Ising Chains
• The role of quantum work statistics in many-body physics
• Absence of orthogonality catastrophe after a spatially inhomogeneous interaction quench in Luttinger liquids
• The distribution of work performed on a NIS junction
• Edge States Effects in Quantum Work Statistics