Lattice Effects on Interacting Bosons and their Vortex Dynamics

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Charge-Vortex duality in transport 1. Charge transport equation 2. Vortices transport equation Magnus field on a vortex Vortex Induced stress field vortex conductivity = charge resistivity
Semiclassical transport theory Semiclassical (smooth potential) dynamics, without tunneling: a. Vortices follow equipotential contours: b. With no potential, vortices ‘Go with the Flow’ and the Hall resistance (by Galiliean symmetry) is ‘classical’: EF H V
Page 1 and 2: AdS/CFT and Condensed Matter, Herak
Page 3 and 4: Gross Pitaevskii theory Boson Coher
Page 5 and 6: Vortex Interactions: 3D magnetostat
Page 7 and 8: 1. Rotating BEC ‘s Realizations o
Page 9 and 10: Magnus Force F V
Page 11: Vortex Motion vorticity current V a
Page 15 and 16: Vortex Tunneling in the continuum s
Page 17 and 18: Dick Codor’s impression... Quantu
Page 19 and 20: Bose Hubbard Model Lattice<
Page 21 and 22: Properties of XXZ model superfluid
Page 23 and 24: Escher, Day and Night, 1938
Page 25 and 26: Extracting the vortex hopping rate
Page 27 and 28: Quantum Melting Multivortex hamilto
Page 29 and 30: Thermally averaged Chern numbers Ha
Page 31 and 32: Vortex degeneracies Netanel acciden
Page 33 and 34: charge distributions Phys Rev A 69
Page 35: arXiv:0810.2604 : Summary Vortices

Lattice Effects on Interacting Bosons and their Vortex Dynamics

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