Many-Body Physics from a Quantum Information Perspective
Abstract
The quantum information approach to many-body physics has been very successful in giving new insights and novel numerical methods. In these lecture notes we take a vertical view of the subject, starting from general concepts and at each step delving into applications or consequences of a particular topic. We first review some general quantum information concepts like entanglement and entanglement measures, which leads us to entanglement area laws. We then continue with one of the most famous examples of area-law abiding states: matrix product states, and tensor product states in general. Of these, we choose one example (classical superposition states) to introduce recent developments on a novel quantum many-body approach: quantum kinetic Ising models. We conclude with a brief outlook of the field.
- Publication:
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Lecture Notes in Physics, Berlin Springer Verlag
- Pub Date:
- 2012
- DOI:
- 10.1007/978-3-642-10449-7_6
- arXiv:
- arXiv:1003.3153
- Bibcode:
- 2012LNP...843..245A
- Keywords:
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- Quantum Physics;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- Lectures from the Les Houches School on "Modern theories of correlated electron systems". Improved version new references added