Theory Seminar: Tensor network state methods for systems in confined potentials
Örs Legeza (Hungarian Academy of Sciences)
Tensor network states and specifically matrix-product states have proven to be a powerful tool for simulating ground states of strongly correlated spin and fermionic models.
Örs Legeza (Hungarian Academy of Sciences)
Herbert-Walther Lecture Hall G0.25
Wed 27. March 2019, 11:30 am (MEZ)
Abstract:
Tensor network states and specifically matrix-product states have proven to be a powerful tool for simulating ground states of strongly correlated spin and fermionic models. In this contribution, we overview tensor network states techniques that can be used for the treatment of high-dimensional optimization tasks used in many-body quantum physics with long range interactions, ab initio quantum chemistry and in nuclear structure theory. We will also discuss the controlled manipulation of the entanglement, which is in fact the key ingredient of such methods, and which provides relevant information about correlations. We will present recent developments on fermionic orbital optimization, tree-tensor network states, multipartite entanglement, externally corrected coupled cluster density matrix renormalization group (TCCSD-DMRG). Finally, new results will be shown for systems of continuously confined fermions and for Wigner crystals.
References:
1. Tensor product methods and entanglement optimization for ab initio quantum chemistry, Szalay Sz , Pfeffer M , Murg V , Barcza G , Verstraete F , Schneider R , Legeza O, INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY 115:(19) pp. 1342-1391. (2015)
2. Fermionic orbital optimisation in tensor network states, C. Krumnow, L. Veis, O. Legeza, J. Eisert, Phys. Rev. Lett. 117, 210402 (2016)
3. Role of the pair potential for the saturation of generalized Pauli constraints, Ors Legeza, Christian Schilling, Phys. Rev. A 97, 052105 (2018)
4. Imaging the Wigner Crystal of Electrons in One Dimension, Ilanit Shapir, Assaf Hamo, Sharon Pecker, Catalin Pascu Moca, Ors Legeza, Gergely Zarand, Shahal Ilani, arXiv:1803.08523