Emission of correlated jets from a driven matter-wave soliton in a quasi-one-dimensional geometry

Abstract

The modulation of the interaction between the atoms in a matter-wave soliton in a quasi-onedimensional optical trap triggers an emission of correlated atom jets. We characterize the dependence of jet properties on the frequency, amplitude and length of the modulation, and qualitatively reproduce the trends in the mean-field picture with a one-dimensional time-dependent Gross-Pitaevskii equation simulation. High-order jets are observed for sufficiently long pulses, a double-pulse modulation sequence produces consecutive jets, and a multi-pulse sequence may lead to irregular jets at a finite angle to the direction of the channel. Finally, possible number squeezing of the jet pairs is investigated.

Effects of drive imbalance on the particle emission from a Bose–Einstein condensate in a one-dimensional lattice

“…[27,28] We introduce, in the context of mean-field approach, the expectation values of a j≥0 = â j≥0 and b j≥0 = b j≥0 , where their squares represent the number of particles on site j. In the fireworks experiments, [17,[19][20][21][22] the average dc scattering lengths were generally kept small, and in a previous work we have demonstrated that a finite U did not qualitatively change the results, [27] thus we take the limit of U = 0 for simplicity. We begin from the equilibrium at g = 0, which leads to the Heisenberg equations of motion for a j≥0 (taking units where h = 1)…”

“…Such amplification offers stimulating applications in quantum metrology and simulation of highly nonequilibrium systems. Subsequently, a number of experimental and theoretical groups have performed a series of follow-up investigations and revealed various new aspects, [19][20][21][22][23][24][25][26] e.g., the jet substructure in nonuniform and rotating condensates [20] and correlated jets from a driven matter-wave soliton. [22] In particular, semi-infinite and infinite lattice models were introduced to mimic the behaviors of the trapped particles in a transparent way, [27,28] where the time evolution of the atoms in the horizontal plane was simulated by the hopping of particles from the condensate to the "leads" and between neighboring sites, and the spatial expansion was simply limited in one dimension.…”

Magnetic Interference Compensation Using the Adaptive LMS Algorithm

“…Magnetic field fluctuations can also result in fluctuations in the trap position, leading to heating of the trapped atoms [7]. In experiments with Bose-Einstein condensates, where a sudden change from a repulsive to an attractive interaction can create matter-wave solitons [8] or a periodic modulation of the interaction can lead to the emission of matter-wave jets [9,10], the precise control over the interaction is required. This translates into the need for precise magnetic field control at the sub-mG level.…”

Quench dynamics of Bose-Einstein condensates in boxlike traps

“…A sudden change of the scattering length has been achieved experimentally recently [6]. In atomic BECs, many fascinating nonequilibrium dynamics are involved with tuning interatomic interaction, such as the formation of matter-wave solitons [7][8][9][10], the transformation between different types of vector solitons [11], controlled collapse [12], Faraday patterns [13], collective excitation modes [14,15] and matter-wave jet emission [16][17][18][19].…”