Quantum Simulation

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Crystal Clear Sharemanager.png Type classification: this resource is a course.
Progress-1000.svg Completion status: this resource is considered to be complete.

The first part of the course will discuss various state of the art methods for the numerical description of many-body quantum systems. In particular, I will explain successful applications and inherent limitations due to the exponential complexity of the many-body problem.

In the second part of the course, I will show how using highly controllable quantum system such as ultracold atoms will provide a way to overcome the limitations of classical simulation methods. I will discuss several theoretical and experimental achievements and outline the road for future developments.

Classical simulation of quantum systems[edit]

Exact diagonalization[edit]

Quantum Monte-Carlo[edit]

Density-Matrix Renormalization Group[edit]

Quantum simulation with ultracold atoms[edit]

Analog quantum simulation[edit]

Digital quantum simulation[edit]