The Physics of Coupled Atomic - Molecular Condensate System Report

The primary purpose of this proposal is to explore the physics of multi-component condensates containing both atomic and molecular species. The adiabatic condition, which sets the limit to the powers and the widths of the laser pulses for an efficient STIRAP, is studied in connection with the collective excitation modes of the CPT state. The resonant Fermi model in which atoms of two opposite spins are coupled to the Feshbach molecules is studied from a quantum optics perspective by equating it to the single-mode laser cavity model. The same model, when a laser field is applied between the excited and ground molecular states, is shown to be capable of coherent oscillations that stem from the existence of an atom-molecule dark state. The bosonic counterpart of the resonant Fermi model is studied in connection to the subject of phase separation; a rich set of phase separation is shown to exist, including that between two distinct mixed atom-molecule phases, a property quite unique to the heteronuclear model. Matter-wave bistability of the multi-component condensates is explored both with and without the presence of an optical cavity. Also, explored is the possibility of using electromagnetically induced transparency as an alternative to RF spectrum to determine the onset of BCS superfluid. (a) Papers published in peer-reviewed journals (N/A for none) [1] Lu Zhou, Han Pu, Hong Y. Ling, Keye Zhang, and Weiping Zhang, “Spin dynamics and domain formation of a spinor Bose-Einstein condensate in an optical cavity”, Phys. Rev. A 81, 063641 (2010). [2] Hong Y. Ling, “Bistability in Feshbach resonance “, Journal of Modern Optics, 1362-3044 (2010). [3] Jing Qian, Weiping Zhang, and Hong Y. Ling, “Achieving Ground Polar Molecular Condensates by a Chainwise Atom-Molecule Adiabatic Passage”, Phys. Rev. A 81, 013632 (2010). [4] Lei Jiang, Han Pu, Andrew Robertson, and Hong Y. Ling, “Matter-wave bistability in coupled atom-molecule quantum gases”, Phys. Rev. A. 81, 013619 (2010). [5] Lu Zhou, Han Pu, Hong Y. Ling, and Weiping Zhang, “Cavity-Mediated Strong Matter Wave Bistability in a Spin-1 Condensate”, Phys. Rev. Lett. 103, 160403 (2009). [6] Lei Jiang, Han Pu, Weiping Zhang, and Hong Y. Ling, “Detection of Fermi Pairing via Electromagnetically Induced Transparency”, Phys. Rev. A 80, 033606 (2009). [7] L. Zhou, J. Qian, H. Pu, Weiping Zhang, and H. Y. Ling, "Phase Separation in Two-Species Bose-Einstein Condensate with Interspecies Feshbach Resonance", Phys. Rev. A 78, 053612 (2008). [8] J. Huang, Z. Duan, H. Y. Ling, Weiping Zhang, “Goos-Hänchen-Like Shifts in Atom Optics”, Phys. Rev. A 77, 063608 (2008). [9] A. Robertson, L. Jiang, H. Pu, Weiping Zhang, and H. Y. Ling, “Macroscopic Atom-Molecule Dark State and Its Collective Excitations in Fermionic Systems”, Phys. Rev. Lett. 99, 250404 (2007). [10] H. Y. Ling, P. Maenner, Weiping Zhang, and H. Pu, “Adiabatic theorem for a condensate system in an atom-molecule dark state”, Phys. Rev. A 75, 033615 (2007). [11] Lu Zhou, Weiping Zhang, Hong Y. Ling, Lei Jiang and Han Pu, “Properties of a coupled two-species atom--heteronuclear-molecule condensate”, Phys. Rev. A 75, 043603 (2007). List of papers submitted or published that acknowledge ARO support during this reporting period. List the papers, including journal references, in the following categories: (b) Papers published in non-peer-reviewed journals or in conference proceedings (N/A for none) 11.00 Number of Papers published in peer-reviewed journals: Number of Papers published in non peer-reviewed journals: [1] Michael Fodor and Hong Y. Ling, “Finite-Temperature Phase Diagrams of an Atomic Bose and Two-Component Fermi Mixture”, in the 41th Meeting of the Division of Atomic, Molecular and Optical Physics (DAMOP), Houston, Texas, May 25-29, 2010. [2] L. Zhou, H. Pu, Hong Y. Ling, and Weiping Zhang, “Cavity-Mediated Matter Wave Bistability in a Spin-1 Condensate”, in the 41th Meeting of the Division of Atomic, Molecular and Optical Physics (DAMOP), Houston, Texas, May 25-29, 2010. [3] L. Zhou, J. Qian, H. Pu, Weiping Zhang, and Hong Y. Ling, “Phase Separation in a Two-Species Atomic Bose-Einstein Condensate with an Interspecies Feshbach Resonance”, in the International Quantum Electronics Conference (IQEC), May 31 – June 5, 2009 Baltimore, Maryland. [4] L. Jiang, H. Pu, Weiping Zhang, and Hong Y. Ling, “Detection of Fermi Pairing via Electromagnetically Induced Transparency”, in the 40th Meeting of the Division of Atomic, Molecular and Optical Physics (DAMOP), Charlottesville, Virginia, May 27-31, 2009. [5] L. Zhou, J. Qian, H. PU, Weiping Zhang, and Hong Y. Ling, “Zero-temperature phase diagram of a two-species atomic Bose-Einstein condensates with an interspecies Feshbach resonance”, in the 40th Meeting of the Division of Atomic, Molecular and Optical Physics (DAMOP), Charlottesville, Virginia, May 27-31, 2009. [6] J. Qian, Weiping Zhang, and H. Y. Ling, “Achieving Ground Polar Molecular Condensates by a Chainwise Atom-Molecule Adiabatic Passage”, in the 40th Meeting of the Division of Atomic, Molecular and Optical Physics (DAMOP), Charlottesville, Virginia, May 27-31, 2009. [7] L. Jiang, Andrew Robert, H. Pu, and H. Y. Ling, “Bistability in Resonant Fermi Superfluidity”, American Physical Society (APS) March Meeting, New Orleans, Louisiana, March 10-14, 2008. [8] L. Jiang, H. Pu, Weiping Zhang, and H. Y. Ling, “BCS Pairing Detection by Electromagnetically Induced Transparency”, in the 39th Meeting of the Division of Atomic, Molecular and Optical Physics (DAMOP), State College, Pennsylvania, May 27-31, 2008. [9] Hong Y. Ling, “Coherent Population Trapping in Lambda-Type of Atom or Coupled Atom-Molecule Systems”, Summer School on Experimental Cold Atomic and Molecular Physics, East China Normal University, Shanghai, China, July 29-August 10, 2007. (c) Presentations 0.00 Number of Presentations: 9.00 Non Peer-Reviewed Conference Proceeding publications (other than abstracts): Number of Non Peer-Reviewed Conference Proceeding publications (other than abstracts): 0 Peer-Reviewed Conference Proceeding publications (other than abstracts): (d) Manuscripts Number of Peer-Reviewed Conference Proceeding publications (other than abstracts): 0 Number of Manuscripts: 0.00