Poštovani,

pozivamo Vas na predavanje  Engineering anyons“  koje će se održati prof. dr. sc. Hrvoje Buljan  u petak 21. 09. 2018. s početkom u 12 sati u predavaonici B-3-47 Prirodoslovno-matematičkog fakulteta u Splitu, Ruđera  Boškovića 33. 

Engineering anyons

Hrvoje Buljan, Department of Physics, Faculty of Science, University of Zagreb, Bijenička c. 32, 10000 Zagreb

 

Abstract. I will present our research of anyons [1,2,3], the topic of research in our group related to synthetic topological quantum matter [4,5]. I will present one possible route to engineer anyons in a 2D electron gas in a strong magnetic field sandwiched between materials with high magnetic permeability, which induce electron-electron vector interactions to engineer charged flux-tube composites [1]. I will also discuss intriguing concepts related to extracting observables from anyonic wavefunctions [2], where, for example, one can show that the momentum distribution is not a proper observable for a system of anyons [2], even though this observable was crucial for the experimental demonstration of Bose-Einsten condensation or ultracold fermions in time of flight measurements. I will show how time of flight measurements can be used to extract anyonic statistics [2]. Finally, I will present our ongoing research on anyonic excitations made with externally induced localized perturbations imprinted onto the IQHE state [3].

 

[1] M. Todorić, D. Jukić, D. Radić, M. Soljačić, and H. Buljan, Quantum Hall Effect with Composites of Magnetic Flux Tubes and Charged Particles (or The Quantum Hall Effect with Wilczek’s charged magnetic flux tubes instead of electrons), Phys. Rev. Lett. 120, 267201 (2018).

[2] Tena Dubček, Bruno Klajn, Robert Pezer, Hrvoje Buljan, Dario Jukić, Quasimomentum distribution and expansion of an anyonic gas, Phys. Rev. A 97, 011601(R) (2018).

[3] F. Lunić et al., Anyons as externally induced localized perturbations imprinted onto the IQHE state, in preparation

[4] N. Goldman, G. Juzeliunas, P. Ohberg, I. B. Spielman, Rep. Prog. Phys. 77, 126401 (2014).

[5] Tena Dubček, Colin J. Kennedy, Ling Lu, Wolfgang Ketterle, Marin Soljačić, Hrvoje Buljan, Weyl points in three-dimensional optical lattices: Synthetic magnetic monopoles in momentum space, Phys. Rev. Lett. 114, 225301 (2015).

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