Agenda Wolfgang Ketterle (MIT)
Introduction, overview
15
Markus Greiner (Harvard) Eugene Demler (Harvard)
Quantum gas microscopy Exploring exotic states of matter with interference
25
Quantum dynamics far away from equilibrium Ulrich Schneider (Munich) Emergence of coherence at a quantum phase transition Coffee break Joseph Thywissen (Toronto) Spin dynamics of fermions Tarik Yefsah (MIT) Solitary waves in fermionic superfluids
20
20 10 10
Nikolai Prokof'ev (Amherst)
New theoretical methods
15
Wolfgang Ketterle (MIT)
Synthetic magnetic fields in optical lattices
20
Exploring exotic states of matter with interference
Eugene Demler (Harvard) Collaborators: S. Gopalakrishnan, M. Knap, M. Lukin, T. Kitagawa (Harvard) D. Abanin (Harvard/Perimeter Inst.), M. Serbyn (MIT), M. Atala, M. Aidelsburger, J. Barreiro, I. Bloch (MPQ/LMU) A. Kantian, T. Giamarchi (Univ. Geneva)
Quantum simulations with ultracold atoms
Atoms in optical lattice
Antiferromagnetic and superconducting Tc of the order of 100 K
Antiferromagnetism and pairing at sub-micro Kelvin temperatures
Same microscopic model How to detect many-body phases with ultracold atoms
Ramsey interference /2 pulse Evolution
pulse + measurement of Sz gives relative phase accumulated by the two spin components Evolution Evolution
Used for atomic clocks, gravitometers, accelerometers, magnetic field measurements
Outline Exploring exotic states of matter with interference Measuring Berry/Zak phase in optical lattices M. Atala et al., Nature Physics (2013), T. Kitagawa et al., PRL (2013) Measuring dynamical spin correlation functions M. Knap, et al., Phys. Rev. Lett. (2013) Probing many-body localization M. Serbyn, M. Knap, S. Gopalakrishnan, et al.
Probing band topology with Ramsey/Bloch interference M. Atala et al., Nature Physics (2013), T. Kitagawa et al., PRL (2013)
Theory: D. Abanin, T. Kitagawa, E. Demler Experiments: M. Atala, M. Aidelsburger, J. Barreiro, I. Bloch (MPQ/LMU)
Order parameters Broken symmetries vs topological order
accuracy 10-9
How to measure topological order parameter? Berry/Zak phase in 1d
SSH Model with bichromatic lattice B
A
B
A
B
When dz(k)=0, states with t>0 and t
