Openings

PhD Opening: Nonlinear Quantum Dynamics in Driven-Dissipative Systems

How can you realize and observe quantum states that do not exist in equilibrium?

What new physics emerges when systems are driven and subject to nonlinearity, interaction and dissipation?

How can topology help us distinguish and conceive new phases of matter?

Time-dependent quantum systems are opening new frontiers in the design of quantum matter. By modulating systems in time it becomes possible to stabilize and control quantum states that cannot be accessed in static conditions.

One powerful phenomenon that can be engineered in this context is nonreciprocity, where energy propagates preferentially in one direction (see arXiv:2110.14710 or arXiv:2207.08523v2). This directional behavior is key for emerging artificial materials and quantum devices such as isolators or amplifiers. A prevalent feature in these systems is nonlinearity, which enriches their dynamics by introducing interactions and enabling a broad range of collective phenomena. This raises deep questions at the interface of quantum optics, condensed matter, and nonequilibrium physics.

I am starting a new research group in 2025, funded by a Ramón y Cajal fellowship, and I am looking for a PhD student to join me in exploring these ideas.

Project Description

The project will focus on time-dependent nonlinear quantum systems. Suited for students who are excited by fundamental questions and enjoy combining physical insight with analytical and computational tools. You will contribute to research efforts that may include:

  • Driven-dissipative many-body dynamics. Discovery of stabilized states of matter (e.g. solitons, superradiant states, limit cycles…) and retrieval of their experimental signatures.
  • Development and use of tools based on semianalytical and numerical methods, such as harmonic balance (arXiv:2202.00571, HarmonicBalance.jl docs) tensor network techniques (arXiv:1804.04511, arXiv:1807.00586) and topological methods.
  • The exploration of symmetry-breaking mechanisms (e.g. artificial magnetic fields) to induce and control topological effects in light-matter and nanomechanical platforms. (arXiv:2406.16591)

This is a theoretical project, but collaboration with experimental groups will be encouraged. Attendance to national/international schools and workshops will be supported.

Ideal Candidate Profile

Looking for candidates with:

  • A strong background in quantum mechanics or condensed matter physics
  • Strong analytical skills and a genuine interest in programming are essential.
  • Experience in scientific computing or numerical modeling is a plus
  • Interest in collaborating with experimentalists is also a plus
  • Independence, curiosity, and high motivation

We welcome applications from women and other underrepresented groups in science. Diversity strengthens research.

Environment

The research will take place at the Condensed Matter Physics Center (IFIMAC), a María de Maeztu Excellence Research Unit at the Universidad Autónoma de Madrid (UAM).
IFIMAC offers:

  • A dynamic, international research environment
  • Strong expertise in nanophysics, quantum optics, soft matter, and advanced materials
  • Access to seminars, specialized doctoral courses, and collaboration networks

Practical Details

  • Start date: Fall 2025 (flexible)
  • Duration: 3 years, with possible extension to 4
  • Application deadline: May 31st, 2025

How to Apply

Please send the following documents (in a single PDF) to delpino.jv@gmail.com:

  • Your CV
  • A transcript of your Bachelor’s and Master´s degree
  • Link or copy of your Master’s thesis, if available (drafts are acceptable).
  • Contact details of one or two referees
  • Use Subject: PhD Application – [Your Name] as the email title

Applications not aligned with the described profile will not be considered