Quantum Simulation

From Wikiversity
Jump to navigation Jump to search
Type classification: this resource is a course.
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 | edit source]

Exact diagonalization[edit | edit source]

Quantum Monte-Carlo[edit | edit source]

Density-Matrix Renormalization Group[edit | edit source]

Quantum simulation with ultracold atoms[edit | edit source]

Analog quantum simulation[edit | edit source]

Digital quantum simulation[edit | edit source]