NET4IQ

Project "NET4IQ" data sheet

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 Partnership

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 Project objective

Understanding the universal features of the non-equilibrium dynamics of strongly interacting one-dimensional quantum many-body systems is one of the most challenging and intriguing aspect of the recent researches in the broad domain of the quantum many-particle physics. In this project one merges analytical with numerical methods in order to explore the exotic behavior of interacting quantum models when brought out-of-equilibrium. Indeed, although the equilibrium properties of quantum systems could be understood in terms of standard approaches, away from the equilibrium a complete understanding is still missing. In particular, the project aims to fill the lack of knowledge still present in this exciting domain, pursuing two main ideas: (i) The development of new numerical methods based on tensor-network techniques, so as to explore the post-quench dynamics in closed quantum systems; with a special attention to the very recent continuous version of such algorithms. (ii) A better theoretical understanding (strongly supported by the numerical approach in (i)) of the effects of symmetry breaking, interactions and integrability, in the non-equilibrium dynamics; especially with respect to the non-equilibrium transport of energy and particle throughout the systems as well as a universal description of the stationary states (both equilibrium and non-equilibrium) that emerge at late times. Beside its conceptual importance, a complete universal characterization of the non-equilibrium dynamics of 1D quantum systems will have various application in quantum engineering, being a crucial step forward to construct a quantum computer.

 Publications