Abstract
Microscopic spin-interaction processes are fundamental for global static and dynamical magnetic properties of many-body systems. Quantum gases as pure and well-isolated systems offer intriguing possibilities to study basic magnetic processes including non-equilibrium dynamics. Here, we report on the realization of a well-controlled fermionic spinor gas in an optical lattice with tunable effective spin ranging from 1/2 to 9/2. We observe long-lived intrinsic spin oscillations and investigate the transition from two-body to many-body dynamics. The latter involves a complex interplay of spin and spatial degrees of freedom and implies an instability of an initially band insulating state. Using an external magnetic field we control the dimensionality of the system and tune the spin oscillations in and out of resonance. Our results open new routes to study quantum magnetism of fermionic particles beyond conventional spin 1/2 systems.
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References
Rüegg, C. et al. Quantum magnets under pressure: Controlling elementary excitations in TlCuCl3 . Phys. Rev. Lett. 100, 205701 (2008).
Beaulac, R., Schneider, L., Archer, P. I., Bacher, G. & Gamelin, D. R. Light-induced spontaneous magnetization in doped colloidal quantum dots. Science 325, 973–976 (2009).
Kim, K. et al. Quantum simulation of frustrated Ising spins with trapped ions. Nature 465, 590–593 (2010).
Lanyon, B. P. et al. Universal digital quantum simulation with trapped ions. Science 334, 57–61 (2011).
Stenger, J. et al. Spin domains in ground-state Bose–Einstein condensates. Nature 396, 345–348 (1998).
Schmaljohann, H. et al. Dynamics of F = 2 spinor Bose–Einstein condensates. Phys. Rev. Lett. 92, 040402 (2004).
Chang, M. S., Qin, Q., Zhang, W., You, L. & Chapman, M. S. Coherent spinor dynamics in a spin-1 Bose condensate. Nature Phys. 1, 111–116 (2005).
Sadler, L. E., Higbie, J. M., Leslie, S. R., Vengalattore, M. & Stamper-Kurn, D. M. Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose–Einstein condensate. Nature 443, 312–315 (2006).
Widera, A. et al. Coherent collisional spin dynamics in optical lattices. Phys. Rev. Lett. 95, 190405 (2005).
Struck, J. et al. Quantum simulation of frustrated classical magnetism in triangular optical lattices. Science 333, 996–999 (2011).
Simon, J. et al. Quantum simulation of antiferromagnetic spin chains in an optical lattice. Nature 472, 307–312 (2011).
Lücke, B. et al. Twin matter waves for interferometry beyond the classical limit. Science 334, 773–776 (2011).
Gross, C. et al. Atomic homodyne detection of continuous-variable entangled twin-atom states. Nature 480, 219–223 (2011).
Becker, C. et al. Ultracold quantum gases in triangular optical lattices. New J. Phys. 12, 065025 (2010).
Jo, G. B. et al. Itinerant ferromagnetism in a Fermi gas of ultracold atoms. Science 325, 1521–1524 (2009).
Zhang, S. & Ho, T. L. Atom loss maximum in ultra-cold Fermi gases. New J. Phys. 13, 055003 (2011).
Pekker, D. et al. Competition between pairing and ferromagnetic instabilities in ultracold Fermi gases near Feshbach resonances. Phys. Rev. Lett. 106, 050402 (2011).
Conduit, G. J. & Altman, E. Effect of three-body loss on itinerant ferromagnetism in an atomic Fermi gas. Phys. Rev. A 83, 043618 (2011).
Sommer, A., Ku, M., Roati, G. & Zwierlein, M. W. Universal spin transport in a strongly interacting Fermi gas. Nature 472, 201–204 (2011).
Taie, S. et al. Realization of a SU(2)×SU(6) system of fermions in a cold atomic gas. Phys. Rev. Lett. 105, 190401 (2010).
Stellmer, S., Grimm, R. & Schreck, F. Detection and manipulation of nuclear spin states in fermionic strontium. Phys. Rev. A 84, 043611 (2011).
Lompe, T. et al. Radio-frequency association of Efimov trimers. Science 330, 940–944 (2010).
Lecheminant, P., Boulat, E. & Azaria, P. Confinement and superfluidity in one-dimensional degenerate fermionic cold atoms. Phys. Rev. Lett. 95, 240402 (2005).
Wu, C. Competing orders in one-dimensional spin-3/2 fermionic systems. Phys. Rev. Lett. 95, 266404 (2005).
Rapp, Á., Zaránd, G., Honerkamp, C. & Hofstetter, W. Color superfluidity and ‘Baryon’ formation in ultracold fermions. Phys. Rev. Lett. 98, 160405 (2007).
Honerkamp, C. & Hofstetter, W. Ultracold fermions and the SU(N) Hubbard model. Phys. Rev. Lett. 92, 170403 (2004).
Hermele, M., Gurarie, V. & Rey, A. M. Mott insulators of ultracold fermionic alkaline earth atoms: Underconstrained magnetism and chiral spin liquid. Phys. Rev. Lett. 103, 135301 (2009).
Cazalilla, M. A., Ho, A. F. & Ueda, M. Ultracold gases of ytterbium: Ferromagnetism and Mott states in an SU(6) Fermi system. New J. Phys. 11, 103033 (2009).
Gorshkov, A. V. et al. Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms. Nature Phys. 6, 289–295 (2010).
Ho, T. L. & Yip, S. Pairing of fermions with arbitrary spin. Phys. Rev. Lett. 82, 247–250 (1999).
Wu, C., Hu, J. P. & Zhang, S. C. Exact SO(5) symmetry in the spin-3/2 fermionic system. Phys. Rev. Lett. 91, 186402 (2003).
Tu, H. H., Zhang, G. M. & Yu, L. Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model. Phys. Rev. B 74, 174404 (2006).
Rodríguez, K., Argüelles, A., Colomé-Tatché, M., Vekua, T. & Santos, L. Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling. Phys. Rev. Lett. 105, 050402 (2010).
Köhl, M., Moritz, H., Stoferle, T., Günter, K. & Esslinger, T. Fermionic atoms in a three dimensional optical lattice: Observing fermi surfaces, dynamics, and interactions. Phys. Rev. Lett. 94, 080403 (2005).
Jördens, R., Strohmaier, N., Günter, K., Moritz, H. & Esslinger, T. A Mott insulator of fermionic atoms in an optical lattice. Nature 455, 204–207 (2008).
Schneider, U. et al. Metallic and insulating phases of repulsively interacting fermions in a 3D optical lattice. Science 322, 1520–1525 (2008).
Ho, T. L. Spinor Bose condensates in optical traps. Phys. Rev. Lett. 81, 742–745 (1998).
Law, C. K., Pu, H. & Bigelow, N. P. Quantum spins mixing in spinor Bose–Einstein condensates. Phys. Rev. Lett. 81, 5257–5261 (1998).
Ohmi, T. & Machida, K. Bose–Einstein condensation with internal degrees of freedom in alkali atom gases. J. Phys. Soc. Jpn 67, 1822–1825 (1998).
Bornemann, N., Hyllus, P. & Santos, L. Resonant spin-changing collisions in spinor Fermi gases. Phys. Rev. Lett. 100, 205302 (2008).
Kronjäger, J., Becker, C., Navez, P., Bongs, K. & Sengstock, K. Magnetically tuned spin dynamics resonance. Phys. Rev. Lett. 97, 110404 (2006).
Black, A. T., Gomez, E., Turner, L. D., Jung, S & Lett, P. D. Spinor dynamics in an antiferromagnetic spin-1 condensate. Phys. Rev. Lett. 99, 070403 (2007).
Klempt, C. et al. Multiresonant spinor dynamics in a Bose–Einstein condensate. Phys. Rev. Lett. 103, 195302 (2009).
Auerbach, A. Interacting Electrons and Quantum Magnetism (Springer, 1998).
Acknowledgements
We acknowledge stimulating discussions with E. Demler, F. Deuretzbacher, A. Eckardt, T.-L. Ho, M. Lewenstein, A. Sotnikov and M.W. Zwierlein and thank T. Hanna and L. Cook for providing us with calculated values of the scattering lengths. This work has been financially supported by DFG grant FOR 801.
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J.S.K., J.H. and N.F. performed the measurements and collected the data. J.H. performed the numerical two-body calculations. O.J. and D.S.L. performed the numerical simulations of the four-well system. All authors contributed substantially to the discussion and interpretation of the data and results and to the writing of the manuscript.
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Krauser, J., Heinze, J., Fläschner, N. et al. Coherent multi-flavour spin dynamics in a fermionic quantum gas. Nature Phys 8, 813–818 (2012). https://doi.org/10.1038/nphys2409
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DOI: https://doi.org/10.1038/nphys2409
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