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Quantum Information Methods in Many-Body Physics

Course 0000004612 in SS 2018

General Data

Course Type lecture
Semester Weekly Hours 2 SWS
Organisational Unit Physics Department
Lecturers Ignacio Cirac
Norbert Schuch
Dates Fri, 14:00–17:00
Fri, 14:15–16:15
and 1 singular or moved dates

Assignment to Modules

Further Information

Courses are together with exams the building blocks for modules. Please keep in mind that information on the contents, learning outcomes and, especially examination conditions are given on the module level only – see section "Assignment to Modules" above.

additional remarks Quantum many-body systems exhibit a rich variety of interesting physical phenomena, such as systems with exotic "topological" order which cannot be captured by Landau's theory of phases, and in which the system organizes globally in its quantum correlations rather than locally. The heart of such phenomena is formed by quantum correlations, this is, entanglement, which is at the heart of quantum information theory. This has given rise to a new research area at the intersection of quantum information theory and quantum many-body physics, where methods from quantum information are applied to the structure of these systems. This lecture will give a comprehensive introduction to this new research field. A special focus will be formed by the field of Tensor Network States, which provide an entanglement based description of quantum many-body states. Topics covered include: * Quantum many body systems * Entanglement and the area law * Matrix Product States (MPS) * Variational simulations based on MPS, the DMRG method * Simulation of thermal states and time evolution * Projected Entangled Pair States (PEPS) * topological order * fermionic systems
Links TUMonline entry
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