Quantum anomalous Hall (QAH) states in optical lattices.

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Novel Orbital Physics with Cold Atoms in Optical Lattices Congjun Wu, University of California-San Diego, DMR 0804775 Quantum anomalous Hall (QAH) states in optical lattices. Among various Hall effects, including classic and quantum, charge and spin, QAH is the only one which has not been observed yet in both condensed matter and cold atom systems. We propose to realize the QAH state in the p-orbital band of the honeycomb optical lattices by using the available experiment technique of the on-site rotation developed by Gemelke et al. The system naturally reduces to the celebrated QAH Haldane model. Unconventional BEC with synthetic spin-orbit coupling. The current study of superfluid state of bosons is largely within the paradigm of the no-node theorem which states that the ground state wavefunction of bosons are positive-definite. We find that the BECs of bosons with synthetic spin-orbit coupling is a new state of matter beyond this paradigm, which exhibit complex-valued wavefunction, 6 i e 6 5 i e ip p ip p ip p

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Novel Orbital Physics with Cold Atoms in Optical Lattices Congjun Wu, University of California-San Diego, DMR 0804775. Quantum anomalous Hall (QAH) states in optical lattices. - PowerPoint PPT Presentation

Transcript of Quantum anomalous Hall (QAH) states in optical lattices.

Page 1: Quantum anomalous Hall (QAH) states in optical lattices.

Novel Orbital Physics with Cold Atoms in Optical Lattices

Congjun Wu, University of California-San Diego, DMR 0804775

• Quantum anomalous Hall (QAH) states in optical lattices.

Among various Hall effects, including classic and quantum, charge and spin, QAH is the only one which has not been observed yet in both condensed matter and cold atom systems. We propose to realize the QAH state in the p-orbital band of the honeycomb optical lattices by using the available experiment technique of the on-site rotation developed by Gemelke et al. The system naturally reduces to the celebrated QAH Haldane model.

• Unconventional BEC with synthetic spin-orbit coupling. The current study of superfluid state of bosons is largely within the paradigm of the no-node theorem which states that the ground state wavefunction of bosons are positive-definite. We find that the BECs of bosons with synthetic spin-orbit coupling is a new state of matter beyond this paradigm, which exhibit complex-valued wavefunction, and thus break time-reversal symmetry spontaneously.

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Page 2: Quantum anomalous Hall (QAH) states in optical lattices.

Activities of the project “orbital physics with cold atoms”Congjun Wu, University of California-San Diego, DMR 0804775

• Education: Classroom teaching: parts of the project results are incorporated into the teaching of quantum mechanics and solid state physics courses. The symmetry principle and topology analysis are emphasized.

Guiding students and postdocs at UCSD: Hsiang-hsuan Hung, Yi Li, and Hubert Nguyen (Ph. D. students), and Wei-Cheng Lee (Postdoctoral researcher).

• Outreach: Lecture to high school students “Superfluidity, superconductivity, and Bose-Einstein condensation”.

• Presentations: Many invited talks at prestigious universities, research institutes, conferences including Canadian Institute for Advanced Research, Cold Atom Meeting; Exotic insulator workshop at Johns Hopkins; UC Santa Crutz; Physics Colloquium at Washington State University; Topological insulator workshop at Institute of Physics, Chinese Academy of Sciences, etc.