Hrvoje
Buljan Position: Professor Duty: Vice dean for Science (20162018) 

Short BIO
Hrvoje Buljan received a MSc degree in physics from the University of
Zagreb in 1997 and defended his PhD thesis at the same university in
2002 (supervisor Vladimir Paar). In the period from 20022004 he was a
postdoctoral fellow at the Technion, Israel Institute of Technology in
the group of Moti Segev. His research at the time was focused on
nonlinear optical phenomena. In particular, the focus was on propagation
of partially coherent optical waves in nonlinear photonic structures,
and nonlinear phenomena such as incoherent solitons and modulation
instability in these systems. After the postdoc period he moved back to
the University of Zagreb as an Assistant Professor and formed his group
with activities also in ultracold atomic gases. The research in his
group focused on onedimensional timedependent quantum manybody
systems, which were in the last decade experimentally realized in
ultracold atomic gases. In recent years his research topics include also
plasmons in graphene. HB authored and coauthored more than 60
publications in peer reviewed journals with ~2100 citations.
HB was promoted to the rank of Associate Professor of Physics at the
University of Zagreb in 2009, and to the rank of Full Professor in 2013.
He received the Annual Croatian State Award for Science in 2010. He
mentored three PhD theses and more than 25 diploma theses. HB was the PI
on several research projects: (20072013)
Nonlinear phenomena and wave dynamics in photonic systems funded by the
Ministry of Science in Croatia (MZOŠ);
(20072009)
PI of a CroatianGerman bilateral project (in collaboration with Dr.
Thomas Gasenzer, Institut for Theoretical Physics, Heidelberg) funded by
MZOŠ and DAAD; (20082010) PI of a CroatianIsraeli bilateral project
(in collaboration with Prof Dr. Mordechai Segev, Technion, Israel
Institute of Technology) funded by MZOŠ and Ministry of Science of the
State of Israel; (20132015) PI of the Unity Through Knowledge Grant
titled Pseudomagnetic forces and fields for atoms and photons (CoPI
Prof. Marin Soljačić, MIT), PI of the Croatian National Science
Foundation grant titled Synthetic Magnetic Fields with Interactions and
Anyons, and he is the leader of the Center of Excellence for the theory
of Quantum and Complex Systems established in November 2015. He teaches Classical Electrodynamics (3^{rd}
year undergraduates), Nonlinear Optics, and Nonlinear Continua
(postgraduate courses). 

Currently running projects (as Principal Investigator) 1. Synthetic Magnetic Fields with Interactions and Anyons, funded by the Croatian National Science Foundation (HRZZ), www.hrzz.hr
Previous Projects (as PI)
1. 20132015 Pseudomagnetic forces and fields for atoms and photons, funded by the Unity through Knowledge Fund (UKF), www.ukf.hr
3. 20072013 Principal investigator of a project Nonlinear phenomena and wave dynamics in photonic systems (11900000001015) funded by the Ministry of Science in Croatia (MZOŠ)
4. 20072009 Principal investigator of a CroatianGerman bilateral project (in collaboration with Dr. Thomas Gasenzer, Institut for Theoretical Physics, Heidelberg) funded by MZOŠ and DAAD
5.
20082010 Principal
investigator of a CroatianIsraeli bilateral project
(in collaboration with Prof Dr. Mordechai Segev, Technion, Israel
Institute of Technology) funded by MZOŠ and Ministry of Science of the
State of Israel
Participation in projects (not all are listed)
1. 20092012 Collaborator on the project Application of advanced computing in strongly correlated systems funded by NZZ, PI Prof.dr.sc. Tamara Nikšić
2. 20092012
Collaborator on the
FP7 project
SOLeNeMaR (Strenghtening the
SOLidstate research capacities in Zagreb by the introduction of Nuclear
Magnetic Resonance method) PI: Prof.dr.sc. Miroslav Požek


Topics of interest 1. Nonlinear optics: nonlinear wave phenomena, solitons, modulation instability (MI), ... In the field of nonlinear optics, perhaps the main results are as follows. In Ref. [1] we outlined the theory for propagation of incoherent white light in noninstantaneous nonlinear media, and predicted modulation instability of white light [1]. This theory opened the way to subsequent theoretical studies of incoherent whitelight solitons in versatile types of media [2,3]. The predictions of the properties of MI were later successfully experimentally demonstrated in [4]. Other predictions were also successfully verified in the experiments of other authors in versatile types of media. [1] H. Buljan, A. Šiber, M. Soljačić, M. Segev, Phys. Rev. E 66, 035601(R) (2002). [2] H. Buljan, M. Segev, M. Soljačić, N.K. Efremidis, D.N. Christodoulides, Opt. Lett. 28, 1239 (2003). [3] H. Buljan, T. Schwartz, M. Segev, M. Soljačić, D.N. Christodoulides, J. Opt. Soc. Am. B 21, 397 (2004). [4] T. Schwartz, T. Carmon, H. Buljan, and M. Segev, Phys. Rev. Lett. 93, 223901 (2004).
The prediction the existence and properties of randomphase lattice
solitons (solitons propagating in nonlinear periodic lattices) was made
in Ref. [5], and HB coauthored the experimental work [6] which verified
the predictions and proved that these solitons do exist.
This paper opened the
way for subsequent theoretical and experimental work on incoherent light
dynamics in nonlinear periodic (but also random) lattices. [ [6] O. Cohen, G. Bartal, H. Buljan, T. Carmon, J.W. Fleischer, M. Segev, and D.N. Christodoulides, Nature (London) 433, 500 (2005) 2. Ultracold atomic gases: nonequilibrium dynamics of onedimensional Bose gases The most distinguished result is probably the formula developed for calculating the reduced onebody density matrix (which furnishes all onebody observables) for the strongly interacting 1D Bose gas (referred to as the TonksGirardeau gas) in Ref. [7]. This result is important because the formula is very simple and numerically exact calculations can be made for a fairly large numbers of interacting quantum particles (say 100 and even more), and it allows insight into the strongly correlated regime, both in and outofequilibrium (it is valid for timedependent problems as well). [7]
Pezer and H. Buljan, Momentum distribution dynamics of a
TonksGirardeau gas: Bragg reflections of a quantum manybody wave
packet, Phys. Rev. Lett. 98, 240403 (2007). Next result is an exact study of free expansion of the socalled LiebLiniger gas [8] (an interacting 1D Bose gas). Free expansion is related to timeof flight experiments. It is important to understand when interactions are present. Ref. [8] provides exact results from the weakly to the strongly interacting regime for a generic initial wave packet. Our papers on the timedependent LiebLiniger gas are to the best of our knowledge first results on this topic. We have utilized and perhaps one could say brought to light an idea by M. Gaudin from the 1980s. [8]
D. Jukic, R.
Pezer, T. Gasenzer, and H. Buljan, "Free expansion of a
LiebLiniger gas: Asymptotic form of the wave functions" Phys. Rev. A
78, 053602 (2008). An interesting early paper on the range of validity of GrossPitaevskii theory for investigating dynamics of solitons in BoseEinstein Condensates: [9] H. Buljan, M. Segev, and A. Vardi, Phys. Rev. Lett. 95, 180401 (2005). 3. Plasmons in graphene In Ref. [10] we presented the potential of plasmons in a new material – graphene – for their use in nanophotonics. This work has attracted lots of attention. We continued along this line of research (please see full list of publications). Recently we published a review paper [11] and N&V article in Nature Photonics [12].
[10] Jablan, H. Buljan, and M. Soljačić "Plasmonics in graphene at infrared frequencies," Phys. Rev. B 80, 245435 (2009).
[11] M. Jablan. M. Soljačić, and H. Buljan, “Plasmons in graphene: Fundamental properties and potential applications” Proceedings of the IEEE 101, 1689 (2013), invited review article
[12] H. Buljan, M. Jablan, and M. Soljačić, “Damping of Plasmons in Graphene”, Nature Photonics 7, 346 (2013), N&V article.


Mentorship 1. Dario Jukić defended his PhD Thesis in February 2012 (Thesis title: Nonequilibrium dynamics of exactly solvable onedimensional manybody Bose systems)
2.
Marinko Jablan
defended his PhD Thesis in March 2012 (Thesis
title:
Electrodynamic properties of graphene and their technological
applications) 3.
Karlo Lelas
defended his PhD Thesis in July 2012 (Thesis title: Correlations in
stronglyinteracting onedimensional many body systems.
6. Mentor for more than 25 diploma theses 7. Mentor of the student work for which Marinko Jablan was awarded Science award (2008) awarded annually for one student publication in all natural sciences by the Croatian National Foundation for Science 8. Mentor of the student work for which Dario Jukić was awarded Science award (2009) 7. Mentor of the student work for which Ozana Čelan was awarded Rectors award (2009) 