ELFT HÍRADÓ

[szpl <szpl AT metal.elte.hu>]

ELTE Fizikai Intézet

                                ORTVAY KOLLOKVIUM

                    2016. április 7., csütörtök, 15:00-kor
                Az ELTE Pázmány Péter s. 1/A alatti épületében
                           földszinti 0.81 előadóban

                                Legeza Örs
            (MTA Wigner FK Szilárdtestfizikai és Optikai Intézet)

        "Tensor product factorization and entanglement in nuclei,
   through molecules to ultra cold atom and condensed matter systems"


Kivonatos ismertetés:
Hierarchical Tucker tensor (HT) format and Tensor Trains (TT) have been 
introduced recently for low rank tensor product approximation. TT 
representation, also known as Matrix Product States (MPS), and HT 
representation, apparent in tensor network states (TNS), have been used 
in quantum physics for several years. Hierarchical tensor decompositions 
are based on subspace approximation by extending Tucker decomposition 
into a multilevel framework. Therefore, they inherit the favorable 
properties of Tucker tensors, i.e., they offer a stable and robust 
approximation, but still enabling low order scaling with respect to the 
dimensions. For many high dimensional problems, hard to treat so far, this 
approach may offer a novel strategy to circumvent the curse of dimensionality. 
In this contribution, we will present recent results on entanglement, which 
is in fact the key ingredient of such methods, in various strongly 
correlated quantum many body systems with long range interactions.