Conferencia
Mini-course on some aspects of the SYK model
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical theory with N fermions with p-body interactions and random coupling constants. In the large N limit it can be solved exactly and shown to be dual to a gravitational theory and to be maximally chaotic. In the first part of this mini-course we will review in detail the solution of the model in the so-called double scaling limit, in which both p and N are large but p^2/N is fixed. The partition function and the correlators of the model will be computed exactly and the connection with quantum gravity will be uncover. The second part of the course will focus on the chaotic behavior of the SYK model. We will compute out-of-time ordered correlators (OTOCs), which in a chaotic system grow exponentially. The rate of growth of the OTOCs is controlled by the Lyapunov exponent, which we will be able to compute explicitly in a certain limit and see that the system is maximally chaotic (i.e., it saturates a previously conjectured bound on chaos). |
Conferencia
Mini-course on some aspects of the SYK model
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical theory with N fermions with p-body interactions and random coupling constants. In the large N limit it can be solved exactly and shown to be dual to a gravitational theory and to be maximally chaotic. In the first part of this mini-course we will review in detail the solution of the model in the so-called double scaling limit, in which both p and N are large but p^2/N is fixed. The partition function and the correlators of the model will be computed exactly and the connection with quantum gravity will be uncover. The second part of the course will focus on the chaotic behavior of the SYK model. We will compute out-of-time ordered correlators (OTOCs), which in a chaotic system grow exponentially. The rate of growth of the OTOCs is controlled by the Lyapunov exponent, which we will be able to compute explicitly in a certain limit and see that the system is maximally chaotic (i.e., it saturates a previously conjectured bound on chaos). |
Conferencia
Mini-course on some aspects of the SYK model
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical theory with N fermions with p-body interactions and random coupling constants. In the large N limit it can be solved exactly and shown to be dual to a gravitational theory and to be maximally chaotic. In the first part of this mini-course we will review in detail the solution of the model in the so-called double scaling limit, in which both p and N are large but p^2/N is fixed. The partition function and the correlators of the model will be computed exactly and the connection with quantum gravity will be uncover. The second part of the course will focus on the chaotic behavior of the SYK model. We will compute out-of-time ordered correlators (OTOCs), which in a chaotic system grow exponentially. The rate of growth of the OTOCs is controlled by the Lyapunov exponent, which we will be able to compute explicitly in a certain limit and see that the system is maximally chaotic (i.e., it saturates a previously conjectured bound on chaos). |
Conferencia
Mini-course on some aspects of the SYK model
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical theory with N fermions with p-body interactions and random coupling constants. In the large N limit it can be solved exactly and shown to be dual to a gravitational theory and to be maximally chaotic. In the first part of this mini-course we will review in detail the solution of the model in the so-called double scaling limit, in which both p and N are large but p^2/N is fixed. The partition function and the correlators of the model will be computed exactly and the connection with quantum gravity will be uncover. The second part of the course will focus on the chaotic behavior of the SYK model. We will compute out-of-time ordered correlators (OTOCs), which in a chaotic system grow exponentially. The rate of growth of the OTOCs is controlled by the Lyapunov exponent, which we will be able to compute explicitly in a certain limit and see that the system is maximally chaotic (i.e., it saturates a previously conjectured bound on chaos). |
Seminar
Observing black holes through AdS/CFT
The AdS/CFT correspondence predicts that the thermal states of certain field theories correspond to black holes in asymptotically AdS spacetime. Can we observe "black hole-like" phenomena through the thermal states of realistic systems? In this talk, I will discuss examples of methods to achieve this, including the observation of Einstein rings produced by AdS black holes and the creation of null geodesics in AdS spacetime. These observations of black hole-like phenomena could be used to test whether a given material has a gravitational picture. |
Seminar
Factorization for jets in heavy ion collision
Jets produced in heavy ion collisions offer a unique probe into the properties of the quark-gluon plasma (QGP), the state of matter believed to exist shortly after the Big Bang. While being a natural X-rays for the medium, the multiscale nature of the jet provides a window to explore jet-medium interaction in an Effective Field Theory (EFT) framework. In this context, I will talk about how Soft Collinear Effective Theory (SCET) can be used to derive a novel factorization formula for semi-inclusive jet production by treating jet as an open quantum system in contact with a hot thermal bath. The factorization formula then allows us write the production cross-section in terms of perturbative series of an increasing number of subjets characterized by perturbative matching coefficients each of which is convolved with a distinct function that not only depends on the measurement imposed on the jet but also on the properties of the medium. Further, I will also talk about how this framework can be extended to jet substructure observables in particular energy-energy correlators. |
Conferencia
Mini-course on some aspects of the SYK model
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical theory with N fermions with p-body interactions and random coupling constants. In the large N limit it can be solved exactly and shown to be dual to a gravitational theory and to be maximally chaotic. In the first part of this mini-course we will review in detail the solution of the model in the so-called double scaling limit, in which both p and N are large but p^2/N is fixed. The partition function and the correlators of the model will be computed exactly and the connection with quantum gravity will be uncover. The second part of the course will focus on the chaotic behavior of the SYK model. We will compute out-of-time ordered correlators (OTOCs), which in a chaotic system grow exponentially. The rate of growth of the OTOCs is controlled by the Lyapunov exponent, which we will be able to compute explicitly in a certain limit and see that the system is maximally chaotic (i.e., it saturates a previously conjectured bound on chaos). |
Seminar
Near-optimal simulation of quantum field theory
Ab initio simulations of the Standard Model will require thousands of qubits and millions of gates. Developing efficient quantum simulation algorithms for such settings, which will only be feasible in the era of fault-tolerant quantum computing, necessitates principles entirely different from those used in the near term. A useful guiding principle involves considering the asymptotic dependence of simulation algorithm costs on parameters such as error, evolution time, and problem size. In this talk, I will review some recent advancements in near-optimal simulation of quantum field theories. The primary focus will be on recent work 2405.10416 involving the simulation of time evolution in the Kogut-Susskind formulation of lattice gauge theory (LGT). Additionally, I will discuss two other projects: the application of an early-fault-tolerant near-optimal QETU state preparation algorithm to U(1) LGT (2310.13757) and the construction of block encodings via quantum signal processing (WIP). |
Conferencia
LHCb IFT Workshop Santiago de Compostela
This is the third edition of this workshop between the LHCb collaboration and the theory community in the sector of Heavy Ions and Fixed Target physics. The purpose of the meeting is to consider the results from LHCb and identify relevant measurements to be done with the LHCb detector for Run5 and beyond! |
Conferencia
Dende a Física: concerto coa Banda Municipal
Co gallo do 25º aniversario do Instituto Galego de Física de Altas Enerxías, o IGFAE e a Banda Municipal de Música de Santiago de Compostela únense para ofrecer o concerto "Dende a Física". O recital, enmarcado no ciclo Postais da temporada 2023/2024, terá lugar na Praza de Praterías de Santiago de Compostela, o xoves 27 de xuño de 2024 ás 20.00 horas. En caso de choiva, trasladarase ao Teatro Principal. Repertorio:
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