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## New physics with polar molecules Eugene Demler Harvard University Outline: Measu

Hughes, Kerry, Field Technical Editor has reference to this Academic Journal, PHwiki organized this Journal New physics with polar molecules Eugene Demler Harvard University Outline: Measurements of molecular wavefunctions using noise correlations Quantum critical states in addition to phase transitions in the presence of non equilibrium noise Dynamics of systems with dipolar interactions: interplay of roton in addition to dynamical instabilities Collaborators: E. Altman, A. Aspect, E. Dalla Torre, T. Giamarchi, M. Greiner, T. Kitagawa, D.W. Wang Ultracold molecules MURI Kickoff, Univ. of Maryl in addition to , 2009 How to measure wavefunctions of molecules From noise correlations to phase sensitive measurements in systems of ultra-cold atoms T. Kitagawa, A. Aspect, M. Greiner, E. Demler Following up on earlier experiments of D. Jin et al. PRL (2005) Second order interference from paired states n(k) k BCS BEC Theory: Altman et al., PRA 70:13603 (2004)

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Momentum correlations in paired fermions Experiments: Greiner et al., PRL 94:110401 (2005) How to measure the molecular wavefunction How to measure the non-trivial symmetry of y(p) We want to measure the relative phase between components of the molecule at different wavevectors Two particle interference Coincidence count on detectors measures two particle interference

Two particle interference Implementation as long as atoms: Bragg pulse be as long as e expansion Bragg pulse mixes states k in addition to p = k-G -k in addition to p =-k+G Quantum critical states in addition to phase transitions in the presence of non equilibrium noise E. G. Dalla Torre, E. Demler, T. Giamarchi, E. Altman, arXiv:0908.0868 Trapped ions Ultracold polar molecules E Trapping ions in addition to polar molecules Noise spectrum is 1/f Monroe (2006), Chuang (2008) Short range spatial correlations

Effective coupling to external noise Decay of crystal correlations remains power-law. Decay exponent tuned by the 1/f noise power. Novel phase transitions tuned by a competition of noise in addition to quantum fluctuations Dynamics with dipolar interactions Interplay of dynamical in addition to roton instabilities D.W. Wang, E. Demler, arXiv:0812.1838 Moving condensate in an optical lattice. Dynamical instability Theory: Niu et al. PRA (01), Smerzi et al. PRL (02) Experiment: Fallani et al. PRL (04) Origin of dynamical instability: negative effective mass Amplification of density fluctuations

Roton spectrum in pancake polar condensates Santos, Shlyapnikov, Lewenstein (2000) Fischer (2006) Origin of roton softening Repulsion at long distances Attraction at short distances Stability of the supersolid phase is a subject of debate Interplay of dynamical instability in addition to roton softening momentum in the plane momentum perpendicular to the pancakes as=1.88a0 as=-0.48a0 as=-1.88a0 momentum of the condensate k0=0.4p k0=0.6p Decay of Bloch oscillations in systems with tunable scattering length M. Fattori et al., PRL 100:80405 (2008) Finite decay rate of Bloch oscillations even as as -> 0 Importance of magnetic dipolar interactions

Measurements of molecular wavefunctions using noise correlations Quantum critical states in addition to phase transitions in the presence of non equilibrium noise Dynamics of systems with dipolar interactions: interplay of roton in addition to dynamical instabilities Summary

## Hughes, Kerry Field Technical Editor

Hughes, Kerry is from United States and they belong to Prepared Foods and they are from Vallejo, United States got related to this Particular Journal. and Hughes, Kerry deal with the subjects like Beverages; Food; Food Industry; Organic and Natural Foods

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