Anderson localization on random regular graphs: by Alexander Mirlin скачать в хорошем качестве

Anderson localization on random regular graphs: by Alexander Mirlin

PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do isolated quantum systems thermalize? This is a fundamental question that is related to the foundations of quantum statistical mechanics and also to the question of the arrow of time. The first study goes back to John von Neumann in 1929. Recently, this question was revived, fuelled by several new concepts in theory along with many relevant experiments. This question is now shared by many fields such as statistical physics, mathematical physics, quantum information and cold atomic systems, and the studies around this question have become interdisciplinary. In the broad context of this basic fundamental question, three closely related areas of research have emerged. Thermalization Many Body Localization (MBL) Hydrodynamical description of many body systems This three-week program aims to bring together researchers working in these areas to discuss recent progress in the field, and hopes to lead to collaborative efforts towards solution of some of the outstanding problems. Apart from technical talks spread throughout the period of the program, there will be sets of pedagogical lectures by leading experts on the following topics: Benjamin Doyon (Integrable systems and generalized hydrodynamics) Tomaz Prosen (Solvable models of diffusion and many-body chaos) Peter Reimann (Analytical approaches on thermalization) Marcos Rigol (Dynamics and generalized thermalization in integrable systems) Wojciech De Roeck (Mechanisms of slow thermalization) Maksym Serbyn (MBL and other mechanisms of ergodicity breaking) Herbert Spohn (Hydrodynamic theory) Romain Vasseur (MBL and measurement-induced transitions) Registration is open to advanced graduate students, postdocs and other researchers working in these areas. CONTACT US: tmh2019@icts.res.in PROGRAM LINK: https://www.icts.res.in/program/hydro... Table of Contents (powered by https://videoken.com) 0:00:00 Anderson localization on random regular graphs: Toy-model of many body- localization 0:00:24 Talk mainly based on: 0:00:48 Ergodicity and MBL in excited states of many-body systems 0:02:10 Anderson localization on random regular graphs (RRG) 0:05:25 RRG vs finite Bethe lattice vs infinite Bethe lattice 0:06:50 Anderson localization on RRG: Previous numerics 0:09:18 Approaches to Anderson model on RRG 0:10:10 Anderson localization and ergodicity on RRG 0:12:12 Eigenfunction statistics 0:14:01 Correlation length 0:14:58 RRG: Field-theoretical approach 0:17:12 Field theory for RRG model: Saddle-point treatment 0:20:30 Field theory for RRG model: Inverse Participation Ratio 0:22:43 Wave function correlations: Single wave function 0:24:27 Wave function correlations: Different wave functions 0:26:14 Wave function correlations: r - w plane 0:27:12 Return probability 0:29:02 Spectral statistics 0:30:31 Critical behavior 0:32:53 Critical behavior: Numerical confirmation of Vdel = I/2 0:34:14 MBL: Analogies to RRG and lessons from RRG 0:36:13 MBL: Analogies to RRG and lessons from RRG (cont'd) 0:37:44 MBL with long-range interaction and RRG 0:38:24 Summary 0:39:59 Q&A