PhD in theoretical condensed matter (M/W)

CNRS


1 Jul 2023
Job Information

Organisation/Company
CNRS
Department
Laboratoire de Physique Théorique et Modélisation
Research Field
Physics
Researcher Profile
First Stage Researcher (R1)
Country
France
Application Deadline
22 Jul 2023 – 23:59 (UTC)
Type of Contract
Temporary
Job Status
Full-time
Hours Per Week
35
Offer Starting Date
1 Oct 2023
Is the job funded through the EU Research Framework Programme?
Not funded by an EU programme
Is the Job related to staff position within a Research Infrastructure?
No

Offer Description

The agent will collaborate closely with another member of the research group led by Jacopo De Nardis (https://www.jacopodenardis.com/ ), interacting with other doctoral students and postdoctoral researchers. Specifically, they will receive guidance throughout their thesis from supervisor De Nardis and a postdoctoral researcher who will be recruited in December 2023.

Furthermore, considering technological advancements and the possibilities of remote communication, it is conceivable that some research activities can be conducted remotely, providing a certain flexibility in working conditions. This would allow the agent to work remotely occasionally or periodically while maintaining close collaboration with the research team and adhering to the project’s objectives. The specific arrangements for remote work will be discussed and determined based on needs and particular circumstances, always ensuring a high level of productivity and engagement in research activities.

The scientific project revolves around the ERC-funded project “HEPIQ” (Hydrodynamic and entropy production in interacting quantum models) (started in March 2022) and the CPJ chair (with ANR grant ANR-22-CPJ1-0021-01) assigned to the PI in July 2022. This project has two main objectives: 1) to provide new numerical tools based on matrix product states and generically tensor networks, which are very difficult to develop, but which can pave the way for an efficient and quantitative description of new non-equilibrium phases in quantum many-body systems. 2) to establish a complete and thorough characterisation of the interplay between quantum dynamics, quantum information evolution and the emergence of chaotic and non-linear dynamics from quantum evolution.

General Context:
The central pilasters of equilibrium statistical mechanics were established over one century ago, providing a solid basis for our understanding of nature. However, nowadays, most science fields face a mostly unsolved and pressing question: obtaining a comprehensive and predictive description of many-body systems out of equilibrium. As quantum devices and quantum materials are nowadays not merely a theoretical dream but currently being realised around the world, a large part of the current effort in theoretical and experimental physics is on understanding many-body quantum systems evolving under their unitary time evolution as well as interacting with external environments. Quantum many-body systems evolving under their Hamiltonian evolution may appear more tractable than their classical counterparts, as quantum unitary evolution is linear. Moreover, analogously to classical dynamical systems, one may say that the whole time evolution is encoded in the Schrödinger equation for the evolution of the quantum wave function. However, not only this contains an enormous amount of information, typically growing exponentially with the number of elementary constituents, but even when the initial state is simple, its time evolution inexorably produces long-range correlations in the form of quantum entanglement, and the amount of information required to follow the dynamics usually blows up exponentially over time. One may reasonably argue that not all such information is relevant for physical predictions, namely local physical observables. Despite their locality, even computing such quantities at equilibrium is a formidable task in strongly interacting systems. When the system is let to time-evolve, the task’s complexity strongly increases, and a comprehensive and generic notion on how to compress non-local data to local information is not available. As time evolution can either be interpreted within Schrödinger or Heisenberg picture, a current major challenge of theoretical physics is understanding how either a quantum state or a quantum operator spread throughout its Hilbert space. This form of complexity generation, either for quantum states or operators, does represent not only a formidable computational challenge but also a fundamental aspect at the basis of future quantum computations, encryption and communication and in general, it touches all the basics constitutive elements for the development of quantum algorithms. Fresh approaches need to be developed to address such complexity, which constitutes one of this proposal’s primary aims. From one side, there is a pressing need to develop large-scale renormalised tools able to reduce the emergent complexity to new effective degrees of freedom. As classical dynamics is theoretically much more under control, it is conceivable to relate the emergence of complexity to the classical theory of chaos and pattern formation, where different theoretical methods can be used. The final output will be new effective computational tools that can tackle strongly interacting systems not only in their ground states but primarily in the unexplored high-energy regions of their spectra.

Requirements

Research Field
Physics
Education Level
PhD or equivalent

Languages
FRENCH
Level
Basic

Research Field
Physics
Years of Research Experience
None

Additional Information

Website for additional job details
https://emploi.cnrs.fr/Offres/Doctorant/UMR8089-JACDEN-001/Default.aspx

Work Location(s)

Number of offers available
1
Company/Institute
Laboratoire de Physique Théorique et Modélisation
Country
France
City
CERGY PONTOISE

Where to apply

Website
https://emploi.cnrs.fr/Candidat/Offre/UMR8089-JACDEN-001/Candidater.aspx

Contact

City
CERGY PONTOISE
Website
https://lptm.cyu.fr/

STATUS: EXPIRED

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