Conveners
(DTP) R1-2 Mathematical and Theoretical Physics | Physique mathématique et théorique (DPT)
- Sanjeev Seahra
Quantum resource theories are a powerful framework for the quantification of resourcefulness in the quantum world. They arise naturally whenever one has a restriction on what one can do on a quantum system. However, the idea behind them is very general, and can be successfully exported to non-quantum scenarios. After introducing quantum resource theories and their mathematical framework, I...
I show, within the Group Field Theory (GFT) approach to quantum gravity, how cosmological physics emerges from the collective behavior of spacetime quanta, in what can be understood as the hydrodynamic limit of the underlying quantum gravity theory. In particular, I discuss explicitly how two of the most important challenges in quantum gravity (the problem of the continuum limit and the...
The field equations of scalsr-tensor and viable'' Horndeski gravity can be written as effective Einstein equations with an effective dissipative fluid as a source. It is miraculous that this effective fluid obeys the constitutive relations postulated in Eckart's first-order thermodynamics, allowing one to introduce atemperature of gravity'' that describes how alternative gravity...
We present the utility of chains defined on causal sets in estimating continuum properties like the curvature, the proper time and the space-time dimension through a numerical analysis. In particular, we show how right continuum properties emerge in deSitter and FLRW spacetimes.
We also discuss a possible test of manifoldlikeness by considering two models of non-manifoldlike causal sets....
In an infinite-dimensional Hilbert space it is possible to implement the Conjugate Gradient (CG) method to find the ground state eigenvectors and eigenvalues of a Hermitian operator H with sufficiently sparse matrix elements in a particular basis. Several different functions on the state vector can be minimized to achieve this goal.
To find excited eigenvectors and eigenvalues of operator...
