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Exact entanglement studies of strongly correlated systems: role of long-range interactions and symmetries of the system

Sahoo, Shaon and Goli, Durga Prasad VML and Ramasesha, S and Sen, Diptiman (2012) Exact entanglement studies of strongly correlated systems: role of long-range interactions and symmetries of the system. In: Journal of Physics: Condensed Matter, 24 (11).

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Official URL: http://iopscience.iop.org/0953-8984/24/11/115601/

Abstract

We study the bipartite entanglement of strongly correlated systems using exact diagonalization techniques. In particular, we examine how the entanglement changes in the presence of long-range interactions by studying the Pariser-Parr-Pople model with long-range interactions. We compare the results for this model with those obtained for the Hubbard and Heisenberg models with short-range interactions. This study helps us to understand why the density matrix renormalization group (DMRG) technique is so successful even in the presence of long-range interactions. To better understand the behavior of long-range interactions and why the DMRG works well with it, we study the entanglement spectrum of the ground state and a few excited states of finite chains. We also investigate if the symmetry properties of a state vector have any significance in relation to its entanglement. Finally, we make an interesting observation on the entanglement profiles of different states (across the energy spectrum) in comparison with the corresponding profile of the density of states. We use isotropic chains and a molecule with non-Abelian symmetry for these numerical investigations.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to IOP Publishing ltd.
Department/Centre: Division of Chemical Sciences > Solid State & Structural Chemistry Unit
Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 13 Apr 2012 09:12
Last Modified: 13 Apr 2012 09:12
URI: http://eprints.iisc.ernet.in/id/eprint/44157

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