Dynamical instabilities of Bose-Einstein condensates at the band edge in one-dimensional optical lattices

Ferris, Andrew J.; Geursen, R.; Blakie, P. B.; Wilson, Andrew

doi:10.1103/physreva.77.012712

Cited by 34 publications

(51 citation statements)

References 72 publications

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“…There has been considerable recent interest in the dynamical properties of atomic Bose-Einstein condensates (BECs) in optical lattice potentials [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]. In optical lattices the nonlinear mean-field interaction of the BEC may give rise to dynamical and energetic instabilities in the transport properties of the atoms.…”

Section: Introductionmentioning

confidence: 99%

Dynamical and energetic instabilities in multicomponent Bose-Einstein condensates in optical lattices

Ruostekoski

Dutton

2007

Phys. Rev. A

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We study dynamical and energetic instabilities in the transport properties of Bloch waves for atomic multi-component Bose-Einstein condensates in optical lattices in the tight-binding limit. We obtain stability criteria analytically, as a function of superfluid velocities and interaction parameters, in several cases for two-component and spinor condensates. In the two-species case we find that the presence of the other condensate component can stabilize the superfluid flow of an otherwise unstable condensate and that the free space dynamical miscibility condition of the two species can be reversed by tuning the superfluid flow velocities. In spin-1 condensates, we find the steady-state Bloch wave solutions and characterize their stability criteria. We find generally more regions of dynamical instability arise for the polar than for the ferromagnetic solutions. In the presence of magnetic Zeeman shifts, we find a richer variety of condensate solutions and find that the linear Zeeman shift can stabilize the superfluid flow in several cases of interest.

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Section: Introductionmentioning

confidence: 99%

Dynamical and energetic instabilities in multicomponent Bose-Einstein condensates in optical lattices

Ruostekoski

Dutton

2007

Phys. Rev. A

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“…Hence, the state is unstable. Both dynamical and energetic instabilities of a lattice BEC have been investigated extensively in theory [158][159][160][161][162][163][164][165] and experiment [166][167][168]. Theoretically, once a nonlinear Bloch wave is known, its stability can be analyzed by solving the BdG equations.…”

Section: Experimental Measurement Of Dynamical Instability Using a Trmentioning

confidence: 99%

Properties of spin–orbit-coupled Bose–Einstein condensates

et al. 2016

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The experimental and theoretical research of spin-orbit-coupled ultracold atomic gases has advanced and expanded rapidly in recent years. Here, we review some of the progress that either was pioneered by our own work, has helped to lay the foundation, or has developed new and relevant techniques. After examining the experimental accessibility of all relevant spin-orbit coupling parameters, we discuss the fundamental properties and general applications of spin-orbit-coupled Bose-Einstein condensates (BECs) over a wide range of physical situations. For the harmonically trapped case, we show that the ground state phase transition is a Dicke-type process and that spin-orbit-coupled BECs provide a unique platform to simulate and study the Dicke model and Dicke phase transitions. For a homogeneous BEC, we discuss the collective excitations, which have been observed experimentally using Bragg spectroscopy. They feature a roton-like minimum, the softening of which provides a potential mechanism to understand the ground state phase transition. On the other hand, if the collective dynamics are excited by a sudden quenching of the spin-orbit coupling parameters, we show that the resulting collective dynamics can be related to the famous Zitterbewegung in the relativistic realm. Finally, we discuss the case of a BEC loaded into a periodic optical potential. Here, the spin-orbit coupling generates isolated flat bands within the lowest Bloch bands whereas the nonlinearity of the system leads to dynamical instabilities of these Bloch waves. The experimental verification of this instability illustrates the lack of Galilean invariance in the system.

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“…5 A series of experiments have further demonstrated that a Bose-Einstein condensate (BEC) in a periodic potential has a critical momentum where the superfluidity becomes unstable by measuring the center-of-mass oscillations of a BEC or the decay of superfluid flows in a moving lattice. [6][7][8][9][10][11][12] As has been indicated theoretically, [13][14][15][16][17][18][19][20] this phenomenon is identified as the dynamical instability that occurs in the presence of lattice potential, and also without any energy dissipation in contrast to the well-known Landau instability of a superfluid. It is known that, when a BEC is dynamically unstable, an arbitrary small density fluctuation of the original BEC grows exponentially in time, leading to a catastrophic decay of superfluid flow.…”

Section: Introductionmentioning

confidence: 86%

Density Modulations Associated with the Dynamical Instability in the Bose–Hubbard Model

et al. 2014

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We analyze the non-equilibrium quantum dynamics of a Bose-Einstein condensate that flows in an optical lattice on the basis of the Bose-Hubbard model. The time evolution of a condensate calculated by the dynamical Gutzwiller approximation has clarified that density modulations appear as a precursor phenomenon of the dynamical instability. Furthermore, the principal mode of modulations strongly depends on both the interparticle interaction strength and the rate of momentum acceleration. We show that these features of density modulations are well explained by the stability phase diagram obtained on the basis of the Bogoliubov theory.

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Dynamical instabilities of Bose-Einstein condensates at the band edge in one-dimensional optical lattices

Cited by 34 publications

References 72 publications

Dynamical and energetic instabilities in multicomponent Bose-Einstein condensates in optical lattices

Dynamical and energetic instabilities in multicomponent Bose-Einstein condensates in optical lattices

Properties of spin–orbit-coupled Bose–Einstein condensates

Density Modulations Associated with the Dynamical Instability in the Bose–Hubbard Model

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