SFB TRR 352 Mathematics of Many-Body Quantum Systems and Their Collective Phenomena
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Andrew Lucas

The Mathematics of Locality in Many-Body Quantum Systems

In relativity, nothing can travel faster than the speed of light. But there are often emergent speed limits, such as the speed of sound, that limit practical information transfer. In quantum many-body lattice models, the existence of this emergent speed limit was first proved by Lieb and Robinson in 1972. Over 50 years later, their result has formed the backbone of very important results in mathematical physics. I will present a modern perspective on the Lieb-Robinson Theorem and present a selection of its applications, such as: constraining the time to prepare entangled states, the simulatability of quantum physics on classical computers, and the decay of the false vacuum in metastable quantum states.

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