


Forthcoming Seminars at F1
Friday 22 Jun 2018 13:00  Yicheng Zhang  Information measures for a local quantum phase transition: Lattice fermions in a onedimensional harmonic trap 

We use quantum information measures to study the local quantum phase transition that occurs for trapped
spinless fermions in onedimensional lattices. We focus on the case of a harmonic confinement~[1]. The transition
occurs upon increasing the characteristic density and results in the formation of a bandinsulating domain in the
center of the trap. We show that the groundstate bipartite entanglement entropy can be used as an order parameter
to characterize this local quantum phase transition.We also study excited eigenstates by calculating the average von
Neumann and second Renyi eigenstate entanglement entropies, and compare the results with the thermodynamic
entropy and the mutual information of thermal states at the same energy density. While at low temperatures we
observe a linear increase of the thermodynamic entropy with temperature at all characteristic densities, the average
eigenstate entanglement entropies exhibit a strikingly different behavior as functions of temperature below and
above the transition. They are linear in temperature below the transition but exhibit activated behavior above it.
Hence, at nonvanishing energy densities above the ground state, the average eigenstate entanglement entropies
carry fingerprints of the local quantum phase transition.
[1] Zhang, Vidmar and Rigol, Phys. Rev. A 97, 023605 (2018)
F1 tea room. 
Seminars Archive
2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 21 Nov 2017 15:00  Jan Skolimowski  Zigzagchain domain walls facilitate metalisation of the Mott insulator on a triangular lattice 

cajna soba f1 
24 Oct 2017 11:00  Friedrich Krien  Conservation in strongly correlated systems  A practical viewpoint 

Cajna soba F1 
10 Oct 2017 11:00  Denis Golez  Manipulation of band gap upon photoexcitation of an excitonic insulator 

cajna soba f1 
27 Jun 2017 15:00  Ana Vranic  Thermodynamics and electron transport on a triangular lattice  comparison between Lanczos and DMFT 

Cajna soba f1. 
4 Apr 2017 15:00  Rok Zitko  Infinite U Hubbard model in infinite dimensions: transport in the lowT regime 

cajna soba f1 
22 Mar 2017 15:00  Markus Aichhorn  Strong Correlations and SpinOrbit Coupling: From Materials to Models 

Cajna soba F1 
7 Mar 2017 15:00  Alen Horvat  Spinorbit coupling in multiorbital impurity models and its relevance for transition metaloxides 

Cajna soba F1 
26 Jan 2017 14:00  Daniel Bauernfeind  Fork Tensor Product States  Efficient Three Orbital Real Time DMFT Solver 

cajna soba f1 





