


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)
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Seminars Archive
2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 20 Jun 2018 15:00  Tilen Čadež  Localization in inhomogeneous Floquet systems 

We study the localization aspects of kicked onedimensional (1D) noninteracting quantum systems subject to either timeperiodic or nonperiodic pulses. These are reflected as sudden changes of the onsite energies in the lattice with different modulations in real space. When the modulation of the kick is incommensurate with the lattice spacing, and the kicks are periodic in time, a well known dynamical localization is recovered for large kick amplitudes and frequencies. We show [1] that the scaling properties at the quasidisorder induced metalinsulator (Anderson) transition in the time periodic case are the same as in the static case, up to intermediate time periods. Moreover, the aperiodicity in time leads to the breakdown of localization and diffusion sets in. By adding superconducting pairing into the system we argue on the existence of a whole region of critical states. Further exploring the phase diagram [2] in different driving regimes, we claim on the relevance of the studied system and its possible experimental realization in cold atomic systems.
[1] T. Čadež, R. Mondaini and P. D. Sacramento, Phys. Rev. B 96, 144301 (2017)
[2] T. Čadež, R. Mondaini and P. D. Sacramento, In preparation
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12 Jun 2018 11:00  Lara Ulčakar  Slow quenches in twodimensional timereversal symmetric Z2 topological insulators 

We study the topological properties and transport in the BernevigHughesZhang (BHZ) model undergoing a slow quench between different topological regimes [1]. Due to the closing of the band gap during the quench, the system ends up in an excited state. We prove that for quenches that preserve the timereversal symmetry, the Z2 invariant remains equal to the one evaluated in the initial state. On the other hand, the bulk spin Hall conductivity does change and its time average approaches that of the ground state of the final Hamiltonian. The deviations from the groundstate spin Hall conductivity as a function of the quench time follow the KibbleZurek scaling. We also consider the breaking of the timereversal symmetry, which restores the correspondence between the bulk invariant and the transport properties after the quench.
[1] Ulčakar, Mravlje, Ramšak and Rejec, Phys. Rev. B 97, 195127 (2018)
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5 Jun 2018 15:00  Robin Steinigeweg  Validity of dynamical linear response for arbitrarily strong perturbations 

Linear response theory is one of the main approaches to the dynamics of quantum
manybody systems. However, this approach has limitations and requires, e.g.,
that the initial state is (i) mixed and (ii) close to equilibrium. In this
situation, we take a fresh perspective and unveils that these requirements can
be substantially weakened by constructing two different classes of pure initial
states. While the first class agrees with linear response theory in the usual
closetoequilibrium limit, the second class yields a correlation function in
the farfromequilibrium limit. These independent statements apply to any
observable but can be connected for socalled binary operators. For such
operators and high temperatures, we prove that the dynamics is generated by a
single correlation function in the entire regime between the cases close to and
far from equilibrium. In numerical simulations, we illustrate our analytical
results and present evidence that these results can also hold true for
nonbinary operators.
[1] J. Richter, R. Steinigeweg, arXiv:1711.00672 (2017)
Seminar room for physics (JSI main building) 
30 May 2018 13:00  Bosiljka Tadić  Physics of Social Systems: Emergent Behavior in KnowledgeSharing Dynamics 

Recently, the vast amount of data collected on various Websites has provided a unique opportunity for the quantitative study of social phenomena in analogy with natural sciences. In this respect, the methods of Statistical Physics for studying complex systems in the physics laboratory, in particular, the interacting nonlinear systems which are driven far from equilibrium, play a crucial role in understanding the mechanisms that enable the emergence of collective social phenomena on the Web. In this lecture, we discuss some of the possibilities and challenges of physics approaches to social dynamics and illustrate them by considering a specific type of data from knowledge creation endeavours (Q&A site Mathematics, IR Chats Ubuntu), and agentbased modelling. The emphasis is on the occurrence of selforganised criticality in these knowledgesharing processes, while at the same time we deal with the structure of the coevolving networks on which these processes take place. Learn more:
[1] B. Tadić, M. M. Dankulov, R. Melnik, Mechanisms of selforganized criticality in social processes of knowledge creation, Physical Review E 96(3), 032307 (2017)
[2] M. Andjelković, B. Tadić, M. M. Dankulov, M. Rajković, R. Melnik, Topology of innovation spaces in the knowledge networks emerging through questionsandanswers, PLOS One 11(5), e0154655 (2016)
[3] M. M. Dankulov, R. Melnik, B. Tadić, The dynamics of meaningful social interactions and the emergence of collective knowledge, Scientific Reports 5, 12197 (2015)
[4] B. Tadić, V. Gligorijević, M. Mitrović, M. Šuvakov, CoEvolutionary Mechanisms of Emotional Bursts in Online Social Dynamics and Networks, Entropy 15(12), 50845120 (2014) 
29 May 2018 15:00  Lev Vidmar  Entanglement Entropy and Quantum Chaotic Hamiltonians 

It is well known that typical pure states in the Hilbert space are (nearly) maximally entangled. In my talk I will discuss, from the perspective of bipartite entanglement entropy, how different are typical eigenstates of physical Hamiltonians from typical states in the Hilbert space.
I will focus on eigenstates of quantum chaotic manybody Hamiltonians [1]. I will study (a) eigenstates of quanum spin chains in nonintegrable regime, and (b) random pure states. I will prove that, in a system that is away from half filling and divided in two equal halves, an upper bound for the average entanglement entropy of random pure states with a fixed particle number and normally distributed real coefficients exhibits a deviation from the maximal value that grows with the square root of the volume of the system. Exact numerical results for highly excited eigenstates of a particle number conserving quantum spin chain model indicate that the bound is saturated with increasing system volume.
[1] Vidmar and Rigol, Phys. Rev. Lett. 119, 220603 (2017)
Seminar room for physics (JSI main building) 
22 May 2018 15:00  Janez Bonča  Charge vs. Spin Disorder in a Correlated Electron System 

In the first part [1] I will show that electronmagnon interaction delocalizes the particle in a system with strong charge disorder. The analysis is based on results obtained for a single hole in the one–dimensional tJ model. Unless there exists a mechanism that localizes spin excitations, the charge carrier remains delocalized even for a very strong charge disorder and shows subdiffusive motion up to the longest accessible times.
In the second part [2] I will present a study of dynamics of a single hole in one dimensional tJ model subject to a random magnetic field. Strong disorder that couples only to the spin sector localizes both spin and charge degrees of freedom. While we cannot precisely pinpoint the threshold disorder, we conjecture that there are two distinct transitions. Weaker disorder first causes localization in the spin sector. Carriers become localized for somewhat stronger disorder, when the spin localization length is of the order of a single lattice spacing. I will also discuss finite doping.
[1] J. Bonča and M. Mierzejewski, Phys. Rev. B 95, 214201 (2017)
[2] G. Lemut, M. Mierzejewski, and J. Bonča, Phys. Rev. Lett. 119, 246601 (2017)
Seminar room for physics (JSI main building) 
18 May 2018 13:00  Peter Prelovšek  Manybody localization in spin and Hubbard chains 

I will describe concepts of manybody localization (MBL) on the example of the prototype MBL model  Heisenberg chain with random local magnetic fields. In particular, I will focus on the MBL criteria of nonergodic behavior of correlation functions and the absense of d.c. transport. On the other hand, analogous studies of the Hubbard chain with random potential show that even in the case of large disorder the charge degrees can be nonergodic, while spins behave as ergodic, but with subdiffusive dynamics. Results will be explained via an effective spin model, where subdiffusion emerges as the consequence of random distribution of exchange interactions.
Seminar room for physics (JSI main building) 
11 May 2018 13:00  Jan Šuntajs  Introduction to Anderson localization and MBL 

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20 Apr 2018 13:00  Jan Skolimowski  Journal club: Bad metal physics with ultracold atoms 


17 Apr 2018 12:00  Rok Žitko  Revival of the physics of subgap states in superconductors: from Shiba to Majorana states 

Recent advances in the fabrication of nanometer scale hybrid semiconductorsuperconductor devices as well as in the scanning tunneling spectroscopy of adsorbate covered surfaces of superconductors have made possible very detailed experimental studies of the old problem of paramagnetic impurities in a superconducting host using local probes with very high energy and spatial resolution. At the same time, improved theoretical tools have been devised to reliably and accurately calculate the excitation spectra of the corresponding quantum impurity problems with gapped continuum electrons. These developments have enabled very stringent tests between experiment and theory. The results demonstrate the importance to describe the magnetic impurities as quantum objects with nontrivial internal dynamics due to the coupling to their environment.
I will discuss the physics of bound states induced by the exchange interaction between the magnetic impurities and the Bogoliubov quasiparticles in superconductors. They are observable as spectroscopically sharp resonances in the tunneling spectra, located well inside the superconducting gap for sufficiently strong exchange coupling. They provide a new way to study the effects of strong correlations. Particularly interesting behaviour is found for cases of highspin impurities in the presence of magnetic anisotropy, and when nearby impurities are coupled though exchange interaction. I will also briefly comment on the relation to recent experiments aimed at detecting fractional Majorana modes localized at the ends of chains of magnetic impurities, and on the nonFermiliquid features found in the twochannel Kondo model with superconducting channels. 
10 Apr 2018 11:00  Mikhail Kiselev  Thermoelectric Transport through SU(N) Kondo Impurity 

We investigate thermoelectric transport through a SU(N) quantum impurity in the Kondo regime. The strong coupling fixed point theory is described by the local Fermiliquid paradigm. Using Keldysh technique we analyze the electric current through the quantum impurity at both finite bias voltage and finite temperature drop across it. The theory of a steady state at zerocurrent provides a complete description of the Seebeck effect. We find pronounced nonlinear effects in temperature drop at low temperatures. We illustrate the significance of the nonlinearities for enhancement of thermopower by two examples of SU(4) symmetric regimes characterized by a filling factor m: i) particlehole symmetric at m=2 and ii) particlehole nonsymmetric at m=1. We analyze the effects of potential scattering and coupling asymmetry on the transport coefficients. We discuss connections between the theory and transport experiments with coupled quantum dots and carbon nanotubes.
D.B. Karki and M.N. Kiselev, Thermoelectric transport through SU(N) Kondo Impurity, Phys. Rev. B 96, 121403(R) (2017)

6 Apr 2018 13:00  Jernej Mravlje  Introduction to bad metals 

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16 Feb 2018 11:00  BingSui Lu  Van der Waals interaction between anisotropic topological insulator slabs 

Prof. Bing‐Sui Lu comes from the Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore. The lecture is based on recent paper BingSui Lu, Phys. Rev. B 97, 045427 (2018).
Van der Waals interactions are prevalent in Nature and account for diverse natural phenomena, such as the flocculation of colloids and the adhesion of geckos to walls. Between similar dielectric materials such interactions are typically attractive and give rise to the problem of stiction and noncontact friction in micro and nano electromechanical systems, thus it is of importance to find possibilities of overcoming such stiction and friction. In the seminar we consider the van der Waals interaction between topological insulators, which are materials that exhibit axion electrodynamics, for which an electric field can give rise to magnetic polarization and a magnetic field can also give rise to electric polarization. For the case of dielectrically anisotropic topological insulators, we examine how such electrodynamics can give rise to the possibility of repulsive van der Waals forces and a reduction of frictional torque.

23 Jan 2018 15:00  Lev Vidmar  Emergent eigenstate solution to quantum dynamics 

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16 Jan 2018 11:00  Kazuhiro Seki  Electronhole doping asymmetry of Fermi surface reconstructed in a simple Mott insulator 

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