Numerical Analysis of Synthetic Quantum Matter

About

One of the main research directions of our division revolves around the possibility of shaping interesting many-body phenomena in quantum simulators, being them analogue or digital ones, even beyond the traditional limitations of condensed matter physics. In particular, the interplay of synthetic gauge fields with geometrical constraints and interactions is investigated in order to achieve and manipulate (fractional) topological states of matter, and to tune their transport properties. Special attention is devoted to those systems achievable with quantum optical tools, especially on ultracold gases, but recently also to Josephson junction arrays and NV centers. Our numerical investigations, in- and out-of-equilibrium, are based on the toolbox of Tensor Network methods , where we contribute to the technical development, too.

Research Topics

  • Quantum Simulations
  • Quantum State Preparation via Measurements
  • Tensor Network Methods
  • Automated Phase Detection

Contact

Prof. Dr. Matteo Rizzi

PGI-8

Building 05.3 / Room 276

+49 2461/61-85456

E-Mail

Members

External group members

Numerical Analysis of Synthetic Quantum Matter

Dr Markus Heinrich, senior researcher, University of Cologne

Numerical Analysis of Synthetic Quantum Matter

Erik Weerda, PhD candidate, University of Cologne

More about our research

Quantum Simulations

A central development of the ongoing second quantum revolution is the ability to control and observe the individual quantum degrees of freedom (e.g., in neutral atoms, ions, superconducting circuits, lattice defects, etc.) and their interactions with the highest precision. This discloses several directions for fundamental research as well as for technological applications. Quantum Simulators are experimental platforms that realize specific models of matter in a tailored way and give direct access to relevant observables: They therefore embody Feynman’s original vision to circumvent the curse of dimensionality by performing the simulation itself in a quantum setup. Ultimately, the goal is to develop QS for increasingly complex models of matter, in- and out-of-equilibrium, in order to tackle pivotal problems in quantum many-body physics and quantum chemistry, e.g., high-temperature superconductivity or chemical reaction dynamics. The availability of early-stage QS, together with sophisticated numerical techniques that keep pushing the classical computational capabilities, puts us today in the exciting situation that both rely on each other for mutual certification while entering otherwise uncharted terrain. Recent examples of ours include:

  • “Quantum simulation of the tricritical Ising model in tunable Josephson junction ladders”, link to the paper.
Tensor Network Methods
Quantum State Preparation via Measurements
Automated Phase Detection
Selected Publications
Useful links
Last Modified: 24.12.2024