The Crooks relation in optical spectra - universality in work distributions for weak local quenches

Abstract

We show that work distributions and non-equilibrium work fluctuation theorems can be measured in optical spectra for a wide class of quantum systems. We consider systems where the absorption or emission of a photon corresponds to the sudden switch on or off of a local perturbation. For the particular case of a weak local perturbation, the Crooks relation establishes a universal relation in absorption as well as in emission spectra. Due to a direct relation between the spectra and work distribution functions this is equivalent to universal relations in work distributions for weak local quenches. As two concrete examples we treat the X-ray edge problem and the Kondo exciton.

4+ pages, 1 figure; version as published

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• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
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• Measuring the characteristic function of the work distribution
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• Work measurement as a generalized quantum measurement
• Large deviations and universality in quantum quenches
• Fully quantum fluctuation theorems
• Fluctuation theorems for quantum processes
• Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
• Statistics of the work done by splitting a one-dimensional quasi-condensate
• Crossover physics in the non-equilibrium dynamics of quenched quantum impurity systems
• Transient Orthogonality Catastrophe in a Time Dependent Nonequilibrium Environment
• Heat-exchange statistics in driven open quantum systems
• Universal quench dynamics of interacting quantum impurity systems
• Orthogonality catastrophe and decoherence in a trapped-Fermion environment
• Experimental verification of a Jarzynski-related information-theoretic equality using a single trapped ion
• Statistics of the work distribution for a quenched Fermi gas
• Incomplete measurement of work in a dissipative two level system
• Overlap distributions for quantum quenches in the anisotropic Heisenberg chain
• Quantum quenches and work distributions in ultra-low-density systems
• Quantum driving and work
• Statistics of work distribution in periodically driven closed quantum systems
• Fluctuations of work in nearly adiabatically driven open quantum systems
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• Anderson's orthogonality catastrophe
• Multifractal Orthogonality Catastrophe in 1D Random Quantum Critical Points
• Transient Loschmidt Echo in Quenched Ising Chains
• Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
• Non-equilibrium aspects of integrable models
• Nonequilibrium Dynamics Across an Impurity Quantum Critical Point
• Quantum Work of an Optical Lattice
• Quantum Revivals in Conformal Field Theories in Higher Dimensions
• Edge Physics of the Quantum Spin Hall Insulator from a Quantum Dot Excited by Optical Absorption
• Escort distribution function of work done and diagonal entropies in quenched Luttinger liquids
• The role of quantum work statistics in many-body physics
• Statistics of work done in degenerate parametric amplification process
• Alternative experimental ways to access entropy production
• Nonequilibrium work equalities in isolated quantum systems
• Many-body dynamics of the decay of excitons of different charges in a quantum dot
• Testing Time Reversal Symmetry in Artificial Atoms
• Dynamics of symmetry breaking during quantum real-time evolution in a minimal model system
• The distribution of work performed on a NIS junction
• Spatiotemporal Spread of Fermi-edge Singularity as Time Delayed Interaction and Impact on Time-dependent RKKY Type Coupling
• Quantum fluctuation theorem for initial near-equilibrium system
• Single-Atom Verification of the Information-Theoretical Bound of Irreversibility at the Quantum Level