<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" class=""><div style="margin: 0px; line-height: normal;" class=""><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">Announcement of A special topics course </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">PHYSICS 8820 28233 L </span></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">Time: W F 0930A-1050 </span></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">Place : CL0102 </span></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">Lecturer: T.L. Ho</span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">Course Title: Topics in condensed matter physics with cold atom examples</span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">The purpose of this course is to discuss topics in condensed matter physics that are of common interests to researchers in cold atom physics and solid state physics. We shall discuss concepts and the techniques that lead directly to forefront. The course will have about 30 lectures covering the following topics: </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">1. Phase Coherence: Penrose-Onsager characterization. Off-diagonal long range order. Key properties of Bose and Fermi condensates. Concept of fragmented condensates. Emergence of phase coherence through interaction and measurement processes. Bose systems with uncondensed ground states. </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">2. Strong Interaction: Resonance physics, emergence and breakdown of universality, BEC-BCS crossover, Tan’s contact and exact relations, p-wave and more intricate resonances. </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">3. Quantum particles with internal degrees of freedom: Large spin boson and fermions, systems with SU(N) symmetry. </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">4. Synthetic gauge fields: Bosons and fermions in abelian and nonabelian gauge fields, spin-orbit coupled bosons and fermions. </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">5. Optical lattice I: Boson and fermion Hubbard model, entropy location, </span></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">topological bands, fractional charge excitations, Majorana fermion excitations. </span></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">p-band physics and flat band physics. </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">6. Optical lattice II: Interference of quantum many-body states, measurement of entanglement entropy. </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">7. Many-body localization: Anderson localization, interaction effects in disordered systems (many-body localization), thermalization </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">8. Many-body systems in curve space: Realization of curved manifolds in experiments, condensates and strongly correlated states on curved surfaces. </span></div><div style="margin: 0px; font-size: 13px; line-height: normal; min-height: 16px;" class=""><span style="font-kerning: none" class=""></span><br class=""></div><div style="margin: 0px; font-size: 13px; line-height: normal;" class=""><span style="font-kerning: none" class="">9. Quantum geometry and topology: higher Chern numbers</span></div><div class=""><span style="font-kerning: none" class=""><br class=""></span></div></div></body></html>