Skip to main content
SpringerLink
Log in
Book cover

Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices pp 285–290Cite as

Conclusions and Suggestions for Future Research

  • Chapter

  • 1060 Accesses

Part of the book series: Springer Theses ((Springer Theses))

Abstract

This thesis presents models for the low-energy physics of molecules trapped in optical lattices and simulation methods to elucidate the many-body physics of these models in one dimension.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Wall, M.L., Carr, L.D.: Emergent timescales in entangled quantum dynamics of ultracold molecules in optical lattices. New J. Phys. 11, 055027 (2009)

    Article  ADS  Google Scholar 

  2. Wall, M.L., Carr, L.D.: Hyperfine molecular Hubbard Hamiltonian. Phys. Rev. A 82(1), 013611 (2010). doi:10.1103/PhysRevA.82.013611

    Article  ADS  Google Scholar 

  3. Kühner, T.D., White, S.R., Monien, H.: One-dimensional Bose-Hubbard model with nearest-neighbor interaction. Phys. Rev. B 61(18), 12474–12489 (2000). doi:10.1103/ PhysRevB.61.12474

    Article  ADS  Google Scholar 

  4. Dalmonte, M., Pupillo, G., Zoller, P.: One-dimensional quantum liquids with power-law interactions: The Luttinger staircase. Phys. Rev. Lett. 105, 140401 (2010). doi:10.1103/ PhysRevLett.105.140401. http://link.aps.org/doi/10.1103/PhysRevLett.105.140401

  5. Capogrosso-Sansone, B., Trefzger, C., Lewenstein, M., Zoller, P., Pupillo, G.: Quantum phases of cold polar molecules in 2D optical lattices. Phys. Rev. Lett. 104, 125301 (2010)

    Article  ADS  Google Scholar 

  6. Gorshkov, A.V., Manmana, S.R., Chen, G., Ye, J., Demler, E., Lukin, M.D., Rey, A.M.: Tunable superfluidity and quantum magnetism with ultracold polar molecules. Phys. Rev. Lett. 107, 115301 (2011). doi:10.1103/PhysRevLett.107.115301. http://link.aps.org/doi/10.1103/PhysRevLett.107.115301

  7. Gorshkov, A.V., Manmana, S.R., Chen, G., Demler, E., Lukin, M.D., Rey, A.M.: Quantum magnetism with polar alkali-metal dimers. Phys. Rev. A 84, 033619 (2011). doi:10.1103/PhysRevA.84.033619. http://link.aps.org/doi/10.1103/PhysRevA.84.033619

  8. Block, M.S., Mishmash, R.V., Kaul, R.K., Sheng, D.N., Motrunich, O.I., Fisher, M.P.A.: Exotic gapless mott insulators of bosons on multileg ladders. Phys. Rev. Lett. 106, 046402 (2011). doi:10.1103/PhysRevLett.106.046402. http://link.aps.org/doi/10.1103/PhysRevLett.106.046402

  9. Mishmash, R.V., Block, M.S., Kaul, R.K., Sheng, D.N., Motrunich, O.I., Fisher, M.P.A.: Bose metals and insulators on multileg ladders with ring exchange. Phys. Rev. B 84, 245127 (2011). doi:10.1103/PhysRevB.84.245127. http://link.aps.org/doi/10.1103/PhysRevB.84.245127

  10. Jiang, H.-C., Block, M.S., Mishmash, R.V., Garrison, J.R., Sheng, D.N., Motrunich, O.I., Fisher, M.P.A.: Non-Fermi liquid d-wave metal phase of strongly interacting electrons. http://arxiv.org/abs/1207.6608 (2012)

  11. Wall, M.L., Bekaroglu, E., Carr, L.D.: Molecular hubbard hamiltonian: field regimes and molecular species. Phys. Rev. A 88, 023605 (2013). doi:10.1103/PhysRevA.88.023605. http://link.aps.org/doi/10.1103/PhysRevA.88.023605

  12. Kibble, T.W.B.: Topology of cosmic domains and strings. J. Phys. A Math Gen. 9, 1387 (1980)

    Article  ADS  Google Scholar 

  13. Zurek, W.H.: Cosmological experiments in superfluid Helium? Nature 317, 505–508 (1985)

    Article  ADS  Google Scholar 

  14. Kibble, T.: Phase-transition dynamics in the lab and the universe. Phys. Today 60(9), 47 (2007)

    Article  Google Scholar 

  15. Damski, B., Zurek, W.H.: Dynamics of a quantum phase transition in a ferromagnetic Bose-Einstein condensate. Phys. Rev. Lett. 99, 130402 (2007)

    Article  ADS  Google Scholar 

  16. Saito, H., Kawaguchi, Y., Ueda, M.: Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate. Phys. Rev. A 76, 043613 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  17. Wall, M.L., Carr, L.D.: Microscopic model for feshbach interacting fermions in an optical lattice with arbitrary scattering length and resonance width. Phys. Rev. Lett. 109, 055302 (2012). doi:10.1103/PhysRevLett.109.055302. http://link.aps.org/doi/10.1103/PhysRevLett.109.055302

  18. Wall, M.L., Carr, L.D.: Finite temperature matrix product state algorithms and applications. In: Proukakis, N.P., Gardiner, S.A., Davis, M.J., Szymanska, M.H. (eds.) Quantum Gases: Finite Temperature and Non-equilibrium Dynamics. Cold Atoms Series, vol. 1. Imperial College Press, London (2012); e-print http://arxiv.org/abs/1008.4303 (2011)

  19. Wall, M.L., Carr, L.D.: Out-of-equilibrium dynamics with matrix product states. New J. Phys. 14(12), 125015 (2012). http://stacks.iop.org/1367-2630/14/i=12/a=125015

  20. Bauer, B., Carr, L.D., Evertz, H.G., Feiguin, A., Freire, J., Fuchs, S., Gamper, L., Gukelberger, J., Gull, E., Guertler, S., Hehn, A., Igarashi, R., Isakov, S.V., Koop, D., Ma, P.N., Mates, P., Matsuo, H., Parcollet, O., Pawłowski, G., Picon, J.D., Pollet, L., Santos, E., Scarola, V.W., Schollwöck, U., Silva, C., Surer, B., Todo, S., Trebst, S., Troyer, M., Wall, M.L., Werner, P., Wessel, S.: The ALPS project release 2.0: Open source software for strongly correlated systems. J. Stat. Mech. Theory Exp. 2011(05), P05001 (2011). http://stacks.iop.org/1742-5468/2011/i=05/a=P05001

  21. Open source time-evolving block decimation (2009). http://physics.mines.edu/downloads/software/tebd/

  22. ALPS (2012). http://alps.comp-phys.org

  23. Albuquerque, A.F., Alet, F., Corboz, P., Dayal, P., Feiguin, A., Fuchs, S., Gamper, L., Gull, E., Gurtler, S., Honecker, A., Igarashi, R., Korner, M., Kozhevnikov, A., Lauchli, A., Manmana, S.R., Matsumoto, M., McCulloch, I.P., Michel, F., Noack, R.M., Pawlowski, G., Pollet, L., Pruschke, T., Schollwock, U., Todo, S., Trebst, S., Troyer, M., Werner, P., Wessel, S.: The ALPS project release 1.3: Open-source software for strongly correlated systems. J. Magn. Magn. Mater. 310, 1187–1193 (2007)

    Google Scholar 

  24. Wall, M.L., Carr, L.D.: Emergent timescales in entangled quantum dynamics of ultracold molecules in optical lattices. New J. Phys. 11, 055027 (2009)

    Article  ADS  Google Scholar 

  25. Carr, L.D., Oberthaler, M.K.: Spatial dependence of entropy in trapped ultracold Bose gases (2009) [e-print arXiv:0906.4708]

    Google Scholar 

  26. Mishmash, R.V., Carr, L.D.: Quantum entangled dark solitons formed by ultracold atoms in optical lattices. Phys. Rev. Lett. 103, 140403 (2009)

    Article  ADS  Google Scholar 

  27. Mishmash, R.V., Danshita, I., Clark, C.W., Carr, L.D.: Quantum many-body dynamics of dark solitons in optical lattices. Phys. Rev. A 80, 053612 (2009)

    Article  ADS  Google Scholar 

  28. Carr, L.D., Wall, M.L., Schirmer, D.G., Brown, R.C., Williams, J.E., Clark, C.W.: Mesoscopic effects in quantum phases of ultracold quantum gases in optical lattices. Phys. Rev. A 81, 013613 (2010)

    Article  ADS  Google Scholar 

  29. Wall, M.L., Carr, L.D.: Hyperfine molecular Hubbard Hamiltonian. Phys. Rev. A 82, 013611 (2010)

    Article  ADS  Google Scholar 

  30. Glick, J.A., Carr, L.D.: Macroscopic quantum tunneling of solitons in Bose-Einstein condensates. [arXiv:1105.5164]

    Google Scholar 

  31. Carleo, G., Becca, F., Schiró, M., Fabrizo, M.: Localization and glassy dynamics of many-body quantum systems. Sci. Rep. 2, 243 (2011)

    Google Scholar 

  32. Qian, Y., Gong, M., Zhang, C.: Quantum transport of bosonic cold atoms in double-well optical lattices. Phys. Rev. A 84, 013608 (2011). doi:10.1103/PhysRevA.84.013608. http://link.aps.org/doi/10.1103/PhysRevA.84.013608

  33. Zhou, Z.-W., Zhang, S.-L., Zhou, X.-F., Guo, G.-C., Zhou, X., Pu, H.: Quantum phase transition of Bose-Einstein condensates on a nonlinear ring lattice. Phys. Rev. A 83, 043626 (2011). doi:10.1103/PhysRevA.83.043626. http://link.aps.org/doi/10.1103/PhysRevA.83.043626

  34. Lu, H., Baksmaty, L.O., Bolech, C.J., Pu, H.: Expansion of 1D polarized superfluids: The Fulde-Ferrell-Larkin-Ovchinnikov state reveals itself. Phys. Rev. Lett. 108, 225302 (2012). doi:10.1103/PhysRevLett.108.225302. http://link.aps.org/doi/10.1103/PhysRevLett.108.225302

  35. Qian, Y., Gong, M., Zhang, C.: Many-body Landau-Zener transition in cold atom double well optical lattices. http://arxiv.org/abs/1110.1653 (2012)

  36. Yin, S., Qin, X., Lee, C., Zhong, F.: Finite-time scaling of dynamic quantum criticality. http://arxiv.org/abs/1207.1602 (2012)

Download references

Author information

Authors and Affiliations

  1. Colorado School of Mines, Golden, CO, USA

    Michael L. Wall

  2. JILA, NIST, and University of Colorado, Boulder, CO, USA

    Michael L. Wall

Authors
  1. Michael L. Wall
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Wall, M.L. (2015). Conclusions and Suggestions for Future Research. In: Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-14252-4_12

Download citation

Publish with us

Policies and ethics

Search

Navigation