Goold, John

Date:   Tuesday, December 8, 2020
Time:   14:00
Place:   scheduled Zoom meeting
Host:    Géraldine Haack

Quantum transport and eigenstate thermalisation

John Goold
Trinity College Dublin, Ireland

How irreversible thermodynamics emerges from the unitary dynamics of the Schrödinger equation - is a question that has been asked since the inception of quantum theory itself. One possible resolution is given by the Eigenstate Thermalisation Hypothesis which imposes a particular structure of the matrix elements local observables in the energy eigenbasis of a chaotic Hamiltonian [1]. In this talk I will give a pedagogical introduction to the Eigenstate thermalisation hypothesis with special emphasis on the connection between off diagonal matrix elements and quantum transport. I will then give an overview and discussion of results coming from our group and collaborators on the topic [2] - in particular exploring integrablility breaking with local perturbations. If time permits I will discuss ongoing work on the generic features of the statistical distribution of off diagonal matrix elements [3].

[1] L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, Adv.Phys. 65, 239 (2016).
[2] M. Brenes, E. Mascarenhas, M. Rigol, J. Goold, Phys. Rev. B 98 235128 (2018), M. Brenes, S. Pappalardi, J. Goold, A. Silva, M. Brenes, S. Pappalardi, J. Goold, and A. Silva,Phys. Rev. Lett. 124, 040605 (2020).
M. Brenes, T. LeBlond, J. Goold, and M. Rigol, Phys. Rev. Lett. 125, 070605 (2020); M. Brenes, J. Goold, and M. Rigol, Phys. Rev. B 102, 075127 (2020).
[3] C. Murthy and and M. Sredniki, Phys. Rev. Lett 123 230606 (2019)