Year: 2019
Type: article
Abstract: We show that the dynamics of a quantum impurity subject to a stochastic drive on one side and coupled to a quantum critical system on the other display a universal behavior inherited from the quantum critical scaling. Using boundary conformal field theory, we formulate a generic ansatz for the dynamical scaling form of the typical Loschmidt echo and corroborate it with exact numerical calculations in the case of a spin impurity driven by shot noise in a quantum Ising chain. We find that due to rare events the dynamics of the mean echo can follow very different dynamical scaling than the typical echo for certain classes of drives. Our results are insensitive to irrelevant perturbations of the bulk critical model and apply to all the microscopic models in the same universality class.
Source: Physical Review Letters
Authors: William Berdanier, Jamir Marino, Ehud Altman
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: National Science Foundation, U.S. Department of Energy, Hellman Foundation, European Commission, Defense Advanced Research Projects Agency, Horizon 2020 Framework Programme, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, H2020 Marie Skłodowska-Curie Actions
Awards: Quantum Kinetic Equations for Pre-thermal Light and Matter, G434337789, G5261598906, THE GEOMETRY AND FLOW OF QUANTUM INFORMATION: FROM QUANTUM GRAVITY TO QUANTUM TECHNOLOGY, Quantum Kinetic Equations for Pre-thermal Light and Matter, G758210746, Kavli Institute for Theoretical Physics, G985207216
OpenAlex ID: W2954950677