Landau and dynamical instabilities of the superflow of Bose-Einstein condensates in optical lattices

By Biao Wu, Q. Niu. 2000

250 citations recorded by the source corpus.

The superfluidity of Bose-Einstein condensates (BECs) in optical lattices is investigated. Apart from the usual Landau instability, which occurs when a BEC flows faster than the speed of sound, the BEC can also suffer a dynamical instability, resulting in period doubling and other sorts of symmetry breaking of the system. Such an instability plays a crucial role in the dissipative motion of a trapped BEC in an optical lattice recently observed [Burger et al., Phys. Rev. Lett. 86, 4447 (2001)].

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a70aad0f52b660f5118a20acbad4f3c41555c0c0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Boris A. Malomed
2. Yuri Kivshar
3. L. Torner
4. Y. Kartashov
5. Markus K. Oberthaler
6. O. Morsch
7. A. Fetter
8. I. Bloch

In Statistical and Nonlinear Physics

1. Boris A. Malomed
2. L. Torner
3. Yuri Kivshar
4. Y. Kartashov
5. O. Morsch
6. Markus K. Oberthaler
7. I. Bloch
8. Yaron R. Silberberg

Citations in the corpus

• Spatial optical solitons in waveguide arrays (2003, methodology): “The staggered BWs in aself-defocusing medium( ) are also modulationally unstable[61]–[63].”
• Solitons in nonlinear lattices (2010, background): “…of Bloch oscillations of the atomic density (under the action of a constant external force in the combination with an OL), the theoretical analysis (Wu and Niu, 2001) and experimental realization (Burger et al, 2001) of the transition of the superfluid motion of the condensate to a dissipative…”
• Dynamics of Bose-Einstein condensates in optical lattices (2006, background): “It is important to note that a more thorough analysis by Wu and Niu 2001 revealed that in the weak potential limit, effective negative mass deduced from the linear analysis of the problem is only a sufficient criterion for modulation instabilities but not a necessary one, i.e., even in the positive…”
• Rotating trapped Bose-Einstein condensates (2008, background): “Such dynamically unstable behavior occurs in a condensate with a doubly quantized vortex (Pu et al., 1999; Shin et al., 2004), in certain onedimensional solitons (Feder et al., 2000; Fedichev et al., 1999; Muryshev et al., 1999), and in one-dimensional optical lattices (Wu and Niu, 2001).”
• Ultracold quantum gases in optical lattices (2005, background): “5, providing strong evidence for the observation of the predicted dynamical instability behaviou”