Hamed Adami
Title: Null boundary phase space in diverse dimensions
Abstract: We construct the boundary phase space in D-dimensional Einstein gravity with a generic given co-dimension one null surface as the boundary. The associated boundary symmetry algebra is a semi-direct sum of diffeomorphisms of null surface and Weyl rescalings. It is generated by D towers of surface charges that are generic functions over the null surface. These surface charges can be rendered integrable for appropriate slicings of the phase space, provided there is no graviton flux through the null surface. In one particular slicing of this type, the charge algebra is the direct sum of the Heisenberg algebra and diffeomorphisms of the transverse space, for any fixed value of the advanced time.
Salman Beigi
Title: Nonlocality Beyond Bell’s Inequality
Abstract: Bell’s test and its experimental realizations are manifestations of nonlocality in nature. In recent years, nonlocality is studied not only as an intriguing feature of quantum theory, but also for its compelling applications in information processing. Moreover, recently other forms of nonlocality, beyond Bell’s setup, have appeared in the exploration of quantum communication through networks. In this talk, I survey some recent advances on the topic, explain some connections with other fields and mention some of my results.
Riccardo Borsato
Title: Deformations and dualities in string theory and integrable models
Abstract: I will review recent progress in the fields of string theory and integrable models. In particular, I will talk about the identification and classification of solution-generating techniques, which can be understood as deformations or generalised duality transformations. In the context of string theory, these solution-generating techniques may be viewed as methods to generate supergravity backgrounds (i.e. possible vacua of the low-energy theory) when starting from a "seed" supergravity solution. In the context of integrability, they also allow us to generate integrable sigma-models when starting from a seed one. The combination of these two applications has interesting motivations for generalisations of the AdS/CFT correspondence (which relates gravity and gauge theories) that may additionally be treated by the exact methods of integrability. After a generic introduction, I will review the ideas behind the construction of such solution-generating techniques and the methods that allow to classify them.
Fabio Benatti
Title: Asymptotic properties of open quantum spin chains
Abstract: The reduced master equation describing the dissipative dynamics of an XX quantum spin chain of arbitrary length with the end spins coupled to two Bosonic thermal baths will be derived in the so-called global approach where one does not neglect the inter-spin interactions. Then, asymptotic properties as spin currents and entanglement will be studied with respect to the manifold of the open chain stationary states.
Rajesh Gopakumar
Title: Deriving the AdS/CFT Correspondence
Abstract: The AdS/CFT correspondence has been one of the main engines driving progress in theoretical physics over the last two decades. I will begin by discussing why it is important to arrive at a first principles understanding of the underlying mechanism of this duality relating quantum field theories and string theories (or other theories of gravity). I will then proceed to discuss a very general approach which aims to relate large N QFTs and string theories, starting from free field theories. This corresponds to a tensionless limit of the dual string theory on AdS spacetime. Finally, I will discuss specific cases of this limit for AdS_3/CFT_2 and AdS_5/CFT_4, where one has begun to carry this program through to fruition, going from the string theory to the field theory and vice versa.
Seyed Akbar Jafari
Title: Spacetime structures in solid state physics
Abstract: In this talk I will try to convince the audience that the long distance behavior of certain arrangements of atoms gives rise to an emergent spacetime metric. I describe some spectroscopic signatures of such novel spacetime structures and some fascinating solid state phenomena that emerge in a non-trivial spacetime background.
Frank W Nijhoff
Title: Lagrangian multiform theory and quantum variational principle
Abstract: The theory of Lagrangian multiforms was born in 2009, providing a novel variational approach to integrable systems. It differs in an essential way from the conventional principles of variational calculus, and offers new perspectives on both the theory of integrable systems as well as fundamental physics. I will review the basic ideas and state of the art, and discuss some of the implications for quantum theory.
GholamReza Rokni Lamouki
Title: Dynamical Systems and Control Theory: Real World Applications
Abstract: Dynamical systems and control theory have close relations to each other and their formalisms have various close elements. Through the control flow approach, a control problem can be put into the formalism of a dynamical system. In addition, each of them has a long list of applications in real-world problems; namely, problems that are modeled after specific questions whose answers are important in the sense of daily-based experiences. For example, dynamical analysis and control of mechanical systems, from possible topologies of behaviors catalogs, bifurcations, as well as controllability, reveals their performances. In reaction kinetics, the occurrence of multiple time scales and singular time reparametrization defines a complicated perturbed system similar to a control problem. As general real-world applications of the field of dynamical systems and control theory, the following items can be mentioned.
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1) Mathematical Neuroscience
2) Population Dynamics
3) Healthcare Modeling
4) Whole Body Model
5) Human Belief Analysis
6) Robotics and Humanoid Robots
7) Flying Object Control
8) Macroeconomics System Control
9) Microeconomics System Control
10) Political Economics and Constitutional Systems
In this talk, applications of dynamical systems and control theory in the frameworks of some of the examples from the above list will be discussed and illustrated. In Mathematical neuroscience, the bifurcation theory formulates the capacity of learning of the underlying neural network by identifying the possible limit cycles and presenting the method of switching among them. The effect of delays, perturbations, and slow-fast systems can also be studied. In population dynamics, the interaction amongst species, the mechanisms of survival and extinction, and the natural balance is being studied and are still under consideration. In this regard, the concept of weakly coupled oscillators forms the phase transition dynamics which leads to phase locking and phase drift qualities as well as black-wholes. Healthcare modeling consists of management of services such as ICU; epidemiology problems such as the occurrence of epidemics, pandemics, and endemics situations; as well as spiritual factors, dynamics of the family; and many other topics have been studied. The whole body problem is an ongoing project on planet earth; although there is a long way ahead, many significant steps have been paved. The field of human belief can be seen as an old problem as well as a new one; depending on the view and methodology of analysis. Structural oscillations in this field can explain many human social experiences. Robotics and flying objects are basically involved in both dynamical systems and control theory and techniques. Moreover, along with traditional game-theoretic approaches, modern (Macro/Micro/Political) economics requires advanced deep studies in dynamical systems and control theory. The oscillations among variables in government expenditures seem to be structural rather than being a matter of choice.
This short discussion shows the role of control theory and dynamical systems in real-world analysis through a small aperture and only scratching the surface. Finally, it is worth noting that the formalism of real-world problems may be any form of continuous-time, discrete-time, or hybrid.
Shahriar Salimi
Title: نگاهی به اصل عدم قطعیت هایزنبرگ و اصل عدم قطعیت آنتروپی
Abstract: اصل عدم قطعیت یکی از پایه هاي اصلی فیزیک کوانتومی است. رایجترین شکل کلی از اصل عدم قطعیت، رابطه عدم قطعیت هایزنبرگ-روبرتسون است که بر حسب حاصل ضرب واریانسها بیان می شود. اشکالی که در این رابطه وجود دارد این است که برای برخی از حالت های خاص کران پایین این رابطه صفر میشود. این مسئله از این حقیقت ناشی میشود که این رابطه بر حسب حاصلضرب واریانسها نوشته شده است و حاصلضرب میتواند صفر شود، اگر یکی از واریانسها صفر باشد. یکی از راه حل هایی که برای حل این مشکل وجود دارد این است که در نظريه اطلاعات کوانتومي، از آنتروپي شانون براي بيان اصل عدم قطعيت استفاده شود که به آن رابطه عدم قطعیت برحسب آنتروپی گفته می شود. کران این رابطه با در نظر گرفتن يک ذره به عنوان حافظه کوانتومي که با ذره اوليه همبستگي دارد قابل تغيير است. در این سخنرانی روابط عدم قطعیت در حضور حافظه کوانتومی را بررسی می کنیم. همچنین به بررسی نقش همبستگی های کوانتومی در رابطه عدم قطعیت بر حسب آنتروپی در حضور حافظه کوانتومی می پردازیم. در پایان به کاربرد روابط عدم قطعیت آنتروپی در دیگر حوزه های اطلاعات کوانتومی می پردازیم.
Anca Tureanu
Title: CPT symmetry and relativistic invariance: their relation and violation
Abstract: An introduction to CPT symmetry and its relation to relativistic invariance, from a historical perspective. Though both symmetries have survived so far the experimental tests, our world would not exist without CPT violation. Are the violations of these two symmetries also related? And can we hope to observe such violations in the future?
Seyed Mahmoud Manjegani
Title: Majorisation with some Application in Quantum Information Theory
Abstract: Comparison of two vector quantities often leads to interesting inequalities that can be expressed succinctly as “majorization” relations. Majorization is one of the most basic concepts in matrix theory, first introduced over a century ago as a way to address set of problems from economics, engineering, and physics. More recently, it has become a central mathematical tool in quantum information theory, beginning with work of Nielsen. Since many quantum problems occur in the infinite dimension, many mathematicians, such as Ryff and Day, generalized the majorization theory based on doubly stochastic operators to infinite dimensional space. In this talk we introduce majorization and three types of maps which preserve majorization. Also, we explain extension of Uhlmann’s Theorem to infinite dimension by means of semi doubly stochastic operators which leads to a quantum interpolation of majorization preserver.