PIRSA:24110089

Open Quantum Dynamics with Nonlinearly Realized Symmetries.

APA

Radkovski, J. (2024). Open Quantum Dynamics with Nonlinearly Realized Symmetries.. Perimeter Institute for Theoretical Physics. https://pirsa.org/24110089

MLA

Radkovski, Jury. Open Quantum Dynamics with Nonlinearly Realized Symmetries.. Perimeter Institute for Theoretical Physics, Nov. 29, 2024, https://pirsa.org/24110089

BibTex

          @misc{ scivideos_PIRSA:24110089,
            doi = {10.48660/24110089},
            url = {https://pirsa.org/24110089},
            author = {Radkovski, Jury},
            keywords = {Particle Physics},
            language = {en},
            title = {Open Quantum Dynamics with Nonlinearly Realized Symmetries.},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {nov},
            note = {PIRSA:24110089 see, \url{https://scivideos.org/pirsa/24110089}}
          }
          

Jury Radkovski Perimeter Institute for Theoretical Physics

Talk numberPIRSA:24110089
Source RepositoryPIRSA
Collection

Abstract

In the framework of Non-Equilibrium Field Theory, I will construct the effective influence functional — generator of non-equilibrium correlation functions — for a mechanical system with degrees of freedom living on a group (e.g. rigid body) interacting with a thermal bath at high temperature. I will derive the constraints on the influence functional following from the group symmetry structure and the DKMS symmetry — generalization of the fluctuation-dissipation theorem. At the linear response level, group symmetry turns out to impose more constraints compared to DKMS. I will illustrate the general formalism with the diffusion in a Fermi gas and exhibit the large-N suppression of the non-linear response. Finally, I will introduce the Universal Bath — the generalization of the Caldeira-Leggett model. It is a dual field theory defined in one extra dimension that reproduces the classical non-equilibrium dynamics of the mechanical system. I will show that in the limit of Ohmic dissipation, when the temperature becomes the only relevant scale at play, the Universal Bath also reproduces the quantum corrections.