The X-ray edge singularity in Quantum Dots

Abstract

In this work we investigate the X-ray edge singularity problem realized in noninteracting quantum dots. We analytically calculate the exponent of the singularity in the absorption spectrum near the threshold and extend known analytical results to the whole parameter regime of local level detunings. Additionally, we highlight the connections to work distributions and to the Loschmidt echo.

7 pages, 2 figures; version as published

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Cited by in corpus (24)

• Dynamical quantum phase transitions: scaling and universality
• Classifying and measuring the geometry of the quantum ground state manifold
• General Features of the Relaxation Dynamics of Interacting Quantum Systems
• Crossover physics in the non-equilibrium dynamics of quenched quantum impurity systems
• Transient Orthogonality Catastrophe in a Time Dependent Nonequilibrium Environment
• The Crooks relation in optical spectra - universality in work distributions for weak local quenches
• Orthogonality catastrophe in dissipative quantum many body systems
• Universal quench dynamics of interacting quantum impurity systems
• Orthogonality catastrophe and decoherence in a trapped-Fermion environment
• Nonexponential fidelity decay in isolated interacting quantum systems
• Statistics of the work distribution for a quenched Fermi gas
• Overlap distributions for quantum quenches in the anisotropic Heisenberg chain
• Quantum quenches and work distributions in ultra-low-density systems
• Universal nonequilibrium signatures of Majorana zero modes in quench dynamics
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• Anderson's orthogonality catastrophe
• Transient Loschmidt Echo in Quenched Ising Chains
• Exact overlaps in the Kondo problem
• Nonequilibrium dynamics in an optical transition from a neutral quantum dot to a correlated many-body state
• Edge Physics of the Quantum Spin Hall Insulator from a Quantum Dot Excited by Optical Absorption
• The role of quantum work statistics in many-body physics
• Orthogonality catastrophe beyond bosonization from post-selection
• Electron-electron correlations in a dynamical impurity system with a Fermi edge singularity
• Linear response of a one-dimensional conductor coupled to a dynamical impurity with a Fermi edge singularity