<html><body><div style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000"><div></div><div data-marker="__QUOTED_TEXT__"><div style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000;"><div><div style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000;" data-mce-style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000;"><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;"><strong><b><span lang="HR" style="font-size: 16pt; color: black;" data-mce-style="font-size: 16pt; color: black;"><img><img src="cid:fb559ca8379da07816ebeb024a88bd13dae62179@zimbra" data-mce-src="http://mail.ifs.hr/service/home/~/?auth=co&id=75467&part=2.2&t=1481207646976"></span></b></strong></div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;"><p style="text-align: center; margin: 0px;" align="center" data-mce-style="text-align: center; margin: 0px;"><b><span lang="EN-GB" style="font-family: 'Century Gothic',sans-serif; color: #5f5f5f;" data-mce-style="font-family: 'Century Gothic',sans-serif; color: #5f5f5f;">Institut za fiziku, Bijenička cesta 46,</span></b></p><p style="text-align: center; margin: 0px;" align="center" data-mce-style="text-align: center; margin: 0px;"><b><span lang="EN-GB" style="font-family: 'Century Gothic',sans-serif; color: #5f5f5f;" data-mce-style="font-family: 'Century Gothic',sans-serif; color: #5f5f5f;">predavaonica u zgradi Mladen Paić</span></b></p><strong><b><span lang="EN-GB" style="font-size: 14pt; font-family: 'Century Gothic',sans-serif; color: #993300;" data-mce-style="font-size: 14pt; font-family: 'Century Gothic',sans-serif; color: #993300;">četvrtak, 13. travnja 2017., u 15:00 sati</span></b><br></strong></div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;"><strong></strong> </div><div style="text-align: center;" data-mce-style="text-align: center;"><span style="color: #55913c; font-family: 'Times New Roman', serif;" data-mce-style="color: #55913c; font-family: 'Times New Roman', serif;"><span style="font-size: 21.3333px;" data-mce-style="font-size: 21.3333px;"><b>Multiple Transitions of Coupled Atom-Molecule Bosonic Mixtures in Two Dimension</b></span></span></div><div style="text-align: center;" data-mce-style="text-align: center;"><span style="font-family: 'Century Gothic', sans-serif;" data-mce-style="font-family: 'Century Gothic', sans-serif;"><span style="font-size: 18.6667px;" data-mce-style="font-size: 18.6667px;"><b>dr. A. Rançon</b></span></span></div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;"><b></b> </div><div style="text-align: center;" data-mce-style="text-align: center;"><span style="font-family: 'Century Gothic', sans-serif;" data-mce-style="font-family: 'Century Gothic', sans-serif;"><span style="font-size: 14.6667px;" data-mce-style="font-size: 14.6667px;"><b>Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM), Université Lille 1</b></span></span></div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;"><b><b><span lang="EN-GB" style="font-size: 11pt; font-family: 'Century Gothic',sans-serif;" data-mce-style="font-size: 11pt; font-family: 'Century Gothic',sans-serif;"></span></b></b></div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: center;"> </div><div style="text-align: left;" data-mce-style="text-align: left;"><p style="text-align: left; margin: 0px; line-height: 115%;" data-mce-style="text-align: left; margin: 0px; line-height: 115%;">Motivated by the physics of coherently coupled, ultracold atom-molecule mixtures, we investigate a classical model possessing the same symmetry – namely a U(1)×Z2 symmetry, associated with the mass conservation in the mixture (U(1) symmetry), times the Z2 symmetry in the phase relationship between atoms and molecules. </p><p style="text-align: left; margin: 0px; line-height: 115%;" data-mce-style="text-align: left; margin: 0px; line-height: 115%;"><span>In two spatial dimensions the latter symmetry can lead to a finite-temperature Ising transition, associated with (quasi) phase locking between the atoms and the molecules. On the other hand, the U(1) symmetry has an associated Berezinskii-Kosterlitz-Thouless (BKT) transition towards quasi-condensation of atoms or molecules. The existence of the two transitions is found to depend crucially on the population imbalance (or detuning) between atoms and molecules: when the molecules are majority in the system, their BKT quasi-condensation transition occurs at a higher temperature than that of the atoms; the latter has the unconventional nature of an Ising (quasi) phase-locking transition, lacking a finite local order parameter below the critical temperature. When the balance is gradually biased towards the atoms, the two transitions merge together to leave out a unique BKT transition, at which both atoms and molecules acquire quasi-long-range correlations, but only atoms exhibit conventional BKT criticality, with binding of vortex-antivortex pairs into short-range dipoles. The molecular vortex-antivortex excitations bind as well, but undergo a marked crossover from a high-temperature regime in which they are weakly bound, to a low-temperature regime of strong binding, reminiscent of their transition in the absence of atom-molecule coupling.</span></p><p style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: left; margin: 0px; line-height: 115%;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: left; margin: 0px; line-height: 115%;"><span style="font-family: arial,helvetica,sans-serif;" data-mce-style="font-family: arial,helvetica,sans-serif;"><br></span></p><p style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: left; margin: 0px; line-height: 115%;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: left; margin: 0px; line-height: 115%;"><b style="font-size: 12pt;" data-mce-style="font-size: 12pt;"><span lang="EN-GB" style="font-size: 12pt; font-family: 'Century Gothic',sans-serif;" data-mce-style="font-size: 12pt; font-family: 'Century Gothic',sans-serif;"><b><span lang="EN-GB" style="font-size: 11pt;" data-mce-style="font-size: 11pt;"> </span></b></span></b><span style="font-family: arial,helvetica,sans-serif;" data-mce-style="font-family: arial,helvetica,sans-serif;"></span></p></div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: left;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: left;"><b><span lang="EN-GB" style="font-size: 12pt; font-family: 'Century Gothic',sans-serif;" data-mce-style="font-size: 12pt; font-family: 'Century Gothic',sans-serif;"><b><span lang="EN-GB" style="font-size: 11pt; font-family: 'Century Gothic',sans-serif;" data-mce-style="font-size: 11pt; font-family: 'Century Gothic',sans-serif;"> </span></b></span></b></div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: right;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none; text-align: right;"><b><span lang="EN-GB" style="font-size: 12pt; font-family: 'Century Gothic',sans-serif;" data-mce-style="font-size: 12pt; font-family: 'Century Gothic',sans-serif;"><b><span lang="EN-GB" style="font-size: 11pt; font-family: 'Century Gothic',sans-serif;" data-mce-style="font-size: 11pt; font-family: 'Century Gothic',sans-serif;">Voditelji seminara IF-a: <a href="mailto:natasav@ifs.hr" target="_blank">Nataša Vujičić</a> i <a href="mailto:damirs@ifs.hr" target="_blank">Damir Starešinić</a></span></b></span></b></div></div></div></div></div><div style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none;" data-mce-style="color: #000000; font-family: 'times new roman', 'new york', times, serif; font-size: 12pt; font-style: normal; font-weight: normal; text-decoration: none;"> </div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div><br></div></div></body></html>