Институт теоретической физики им. Л.Д. Ландау


Российской академии наук

Семинары

На регулярной основе семинары проводятся по четвергам в ИФП им. П.Л. Капицы в Москве и по пятницам на ученом совете ИТФ им. Л.Д. Ландау в Черноголовке.

Секторы института проводят свои собственные семинары, тематика которых определяются научной направленностью сектора.

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The Riemann Hypothesis and Quantum Physics

1 октября в 11:30 на ученом совете

Jon Keating (Oxford)

The Riemann Hypothesis concerns the positions of the zeros of the Riemann zeta-function. It has been one of the central unsolved problems in mathematics for over 150 years. Surprisingly, there appear to be deep connections between the theory of the Riemann zeta-function and quantum physics, and these have stimulated close collaborations between the two areas. In particular, analogies with quantum chaos and random matrix theory have been the focus of considerable attention. In this colloquium I will review some of these ideas and their implications.

Квантовый режим поперечных (бетатронных) колебаний пучка в накопителях

8 октября в 11:30 на ученом совете

Н.Н. Николаев

String breaking in a cold wind as seen by string models

8 октября в 11:30 на ученом совете (короткий доклад)

Олег Андреев

We model a heavy quark-antiquark pair in a color singlet state moving through a cold medium and explore the consequences of temperature and velocity on string breaking. We show that the string breaking distance slowly varies with temperature and velocity away from the critical line but could fall near it.

TBA

15 октября в 11:30 на ученом совете

В.В. Соколов

TBA

29 октября в 15:30 на ученом совете

Александр Абанов (SUNY Stony Brook)

Many-body delocalisation as symmetry breaking

12 ноября в 11:30 на ученом совете

John Chalker (Physics Department, University of Oxford)

I will start this talk with an overview of recent work on quantum dynamics in many body systems far from equilibrium. This work has led to an understanding from the perspective of quantum information, of how a such systems may approach an equilibrium state at long times, in which initial conditions are effectively forgotten. It has also led to an appreciation that there are classes of system in which an equilibrium state is not reached at long times. One of these classes is made up of many-body localised systems, in which randomness in the Hamiltonian is responsible for a long-lived memory of the initial state of a system. By varying the strength of randomness, a transition can be induced between localised and ergodic phases, which seems very different from conventional symmetry-breaking phase transitions.
In the second part of the talk I will discuss minimal models for quantum chaos and many-body localisation. The models are Floquet quantum circuits for lattice spin systems, in which time evolution is generated by unitary gates that couple neighbouring sites. In particular, I will examine the circumstances in which a version of the so-called diagonal approximation (originally developed for the semiclassical limit in low-dimensional chaotic systems) can be applied to these systems. Within this framework I will show that the many-body delocalisation transition can be seen as a form of symmetry breaking transition, having many of the features generally associated with conventional phase transitions in classical statistical mechanical models.

Joint work with Sam Garratt: Phys. Rev. X 11, 021051 (2021) and Phys. Rev. Lett. 127, 026802 (2021)