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