Wavelets and MERA

Some of the key insights that led to the
development of DMRG stemmed from studying the behavior of real space RG for
single particle wavefunctions, a much simpler context than the many-particle
case of main interest.  Similarly, one
can gain insight into MERA by studying wavelets.  I will introduce basic wavelet theory and
show how one of the most well-known wavelets, a low order orthogonal wavelet of
Daubechies, can be realized as the fixed point of a specific MERA (in
single-particle direct-sum space). 
Higher order wavelets and the conflict between compactness in real and
Fourier space may provide insight into generalized MERAs for many particle
systems.

Event Type: 
Seminar
Collection/Series: 
Scientific Area(s): 
Speaker(s): 
Event Date: 
Vendredi, Août 30, 2013 - 10:30 to 12:00
Location: 
Bob Room