# About

My name is Jose Lado and I am an assistant professor at Aalto University, working on the theory of quantum materials. You can check our "Correlated Quantum Materials" group webpage here.

**Current main research lines**

**Current main research lines**

## Engineering and controlling quantum matter in van der Waals materials

Van der Waals heterostructures provide an outstanding platform to engineer elusive quantum phenomena, by exploiting materials engineering, twist engineering and proximity effects. We are interested in developing new theoretical routes to exploit the flexibility of these materials to create exotic physics not accessible in conventional compounds. On the theory side, among others, we recently showed:

- Generating artificial gauge fields in twisted graphene multilayers

- Designing tunable frustrated magnets in twisted graphene multilayers

- Generating electrically controllable correlated states in twisted graphene multilayers

- Engineering artificial heavy-fermion correlated states in twisted graphene multilayers

- Revealing the mechanism leading to multiferroic order in a van der Waals monolayer

In collaboration with experimental groups, we recently experimentally demonstrated:

- Realizing an artificial many-body heavy-fermion state in van der Waals multilayers

- Probing magnetic excitations in van der Waals magnets

- Designing magnetically frustrated van der Waals magnets with spin-orbit coupling engineering

- Probing crystal field effects in twisted graphene multilayers.

**Current main research lines:**

*- Tunable correlated quantum matter in twisted van der Waals materials*

- Van der Waals multiferroics

- Heavy-fermion Kondo quantum matter in van der Waals materials

- Van der Waals multiferroics

- Heavy-fermion Kondo quantum matter in van der Waals materials

## Designing and detecting emergent excitations in artificial quantum materials

The interplay of strong electronic interactions, quasiperiodicity and dissipation represents one of the most exciting lines in quantum materials, opening venues to engineer quantum excitations not present in nature, such as fractionalized excitations, supersymmetric excitations and emergent topological states. Among others, in this line, we recently showed:

- Design of Chern insulators by exploiting interactions in topological metals

- Engineering topological excitations by exploiting quasiperiodic many-body states

- Designing solitonic excitations between quantum disordered magnets and superconductors

- Engineering topological modes in non-Hermitian interacting systems

In collaboration with experimental groups, we experimentally showed:

- Generating and probing criticality in quasiperiodic states

- Promoting topological superconducting states with moire patterns

- Detecting electronic quantum entanglement at the atomic scale

The methodologies that we develop are implemented in freely available in an open source library to study electronic, interacting and topological properties of tight binding models.

**Current main research lines:**

*- Non-Hermitian interacting many-body topology*

- Quasiperiodic-driven many-body topology

- Interaction-driven topological quantum matter

- Quasiperiodic-driven many-body topology

- Interaction-driven topological quantum matter

## Quantum algorithms and machine learning for quantum materials design

Understanding exotic phenomena in quantum systems often requires developing new theoretical methods for model analysis and prediction. In particular, we are especially interested in developing new methodologies to understand and detect quantum-many body phenomena using a new family of quantum network algorithms. In this direction, recently we demonstrated:

- Powering-up many-body methodologies with neural-network algorithms

- Detecting topological quantum matter with neural-network algorithms

- Computing dynamical topological excitations in many-body systems using kernel polynomial tensor-network methods

- Exploiting tensor-network algorithms to predict quantum many-body criticality

- Exploiting generative adversarial machine learning for dynamical quantum matter and Hamiltonian learning

The methods we design are also implemented in freely available open source libraries we develop to solve quantum many-body problems with tensor networks.

**Current main research lines:**

*- Generative-adversarial machine learning for many-body quantum materials*

- Tensor-network methods for non-Hermitian dynamical quantum many-body matter

- Quantum-circuit tensor-network algorithms for quantum matter

- Neural-network and tensor-network methods for quantum criticality

- Tensor-network methods for non-Hermitian dynamical quantum many-body matter

- Quantum-circuit tensor-network algorithms for quantum matter

- Neural-network and tensor-network methods for quantum criticality

## Short bio

I am an assistant professor in theoretical physics at Aalto University, in Finland, since 2019. I was an ETH Fellow at the Institute for Theoretical Physics at ETH Zurich, with Prof. Manfred Sigrist and Prof. Oded ZIlberberg from 2017-2019. I got my Ph.D. between 2013-2016 working in the Theory of Nanostructures group at INL, Portugal, led by Prof. Joaquin Fernandez Rossier. My research focuses on the theory of emergent phenomena in topological and correlated quantum materials. In particular, I focus on engineering systems where electronic correlations and topology yield exotic physics such as symmetry broken states, topological excitations and ultimately emerging fractionalized particles. Apart from those purely theoretical research lines, I often work in collaboration with experimental groups studying quantum materials in general, and two-dimensional materials in particular.

## Open source development

pyqula: Python library to perform tight binding calculations in a variety of systems

dmrgpy: Python library to perform density matrix renormalization group in many body systems (based on ITensor)

Quantum Lattice: User interface to perform tight binding calculations (based on pyqula)