Lieb-Robinson bounds and the simulation of time evolution of local observables in lattice systems

Publikationstyp
Book Part
Date Issued
2014-07-02
Sprache
English
Author(s)
Kliesch, Martin  
Gogolin, Christian  
Eisert, Jens  
TORE-URI
http://hdl.handle.net/11420/14165
Start Page
301
End Page
318
Citation
In: Bach, V., Delle Site, L. (eds) Many-Electron Approaches in Physics, Chemistry and Mathematics. Mathematical Physics Studies: 301-318 (2014)
Publisher DOI
10.1007/978-3-319-06379-9_17
ArXiv ID
1306.0716v2
ISBN of container
978-3-319-06378-2
978-3-319-06379-9
This is an introductory text reviewing Lieb-Robinson bounds for open and closed quantum many-body systems. We introduce the Heisenberg picture for time-dependent local Liouvillians and state a Lieb-Robinson bound that gives rise to a maximum speed of propagation of correlations in many body systems of locally interacting spins and fermions. Finally, we discuss a number of important consequences concerning the simulation of time evolution and properties of ground states and stationary states.
Subjects
Quantum Physics
Quantum Physics
Physics - Strongly Correlated Electrons
Mathematical Physics
Mathematics - Mathematical Physics
81-01
DDC Class
600: Technology