Condensed Matter Models
This section explores specific condensed matter systems and their properties. We cover free fermions, the Su-Schrieffer-Heeger (SSH) model, single-electron transistors, and operator dynamics in quantum systems. Each tutorial includes code examples that can be run in the Workshop to reproduce results and gain hands-on experience with these models.
Kai can help you build Hamiltonians, validate interactions against literature, or debug simulation results.
Free fermions
In this tutorial we use the quantum toolkit, specifically the operator framework and the free fermion features, to study the dynamics and eigenstates of a free fermion system. For a comprehensive introduction to free fermion systems and their representation, see the concept Non-interacting fermions.
The SSH Model And The Adiabatic Charge Pump
The Su-Schrieffer-Heeger (SSH) Model And Edge Modes
The Coulomb Operator
In this tutorial, we tackle a problem in device physics: characterizing the electronic structure of a Single-Electron Transistor (SET).
Operators & Dual Unitary Chaos
In this tutorial we use the quantum toolkit, and specifically the operator framework to efficiently validate dual unitary chaos. For further reading you can read the general analytical setup and proof here. We are going to use the numerical setup here. This problem is interesting for a few reasons. First it showcases the power of the operator framework. We will use features that can build quantum circuits as well as construct a custom kernel for a global, diagonal operator that is not directly supported in the quantum toolkit. Second it is physically interesting because it features a space-time swap. We will be computing things on the time lattice and computing thermodynamic limit properties of our system in real space.