Observation of a modulational instability in Bose-Einstein condensates

Everitt, P. J.; Sooriyabandara, M. A.; Guasoni, Massimiliano; Wigley, P. B.; Wei, Chunhua; McDonald, Gordon; Hardman, Kyle; Manju, P.; Close, John; Kuhn, Carlos C. N.; Szigeti, Stuart S.; Kivshar, Yuri S.; Robins, Nicholas

doi:10.1103/physreva.96.041601

Cited by 102 publications

(93 citation statements)

References 18 publications

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“…First, our model is non-integrable, therefore a closed-formed expression for a two-soliton state via inverse scattering techniques is not available. Secondly, regardless of whether such a solution existed, equation (25) should work as a good approximation to the dynamics pictured in figure 3, as the solitons roughly retain their shape during the interaction. However, it must be stressed that this choice of the ansatz does not fully replicate all the features of the interaction and will therefore lead to inconsistencies at short length scales, when the solitons begin to significantly overlap.…”

Section: Linear Calculationsmentioning

confidence: 99%

“…To explain how these discrepancies appear in our results, we restate the consequences of the various approximations that we have used in the analysis. In effect, all inconsistencies can be traced back to the initial ansatz used in the analysis, see equation (25). The first problem is the obvious fact that the ansatz is a linear superposition of two solitons, neglecting the nonlinear deformation which takes place when they overlap significantly.…”

Section: Collision Dynamicsmentioning

confidence: 99%

“…The ability to precisely engineer both the dimensionality and interactions in these systems has lead to the realization of isolated bright matter-wave solitons [18,19], as well as solitons trains [20]. The second generation of experiments addressed controlled collisions with potential barriers [21,22], as well as understanding both the role and origin of the relative phase for the stability of bright soliton states [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory

et al. 2018

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We study interactions between bright matter-wave solitons which acquire chiral transport dynamics due to an optically-induced density-dependent gauge potential. Through numerical simulations, we find that the collision dynamics feature several non-integrable phenomena, from inelastic collisions including population transfer and radiation losses to the formation of short-lived bound states and soliton fission. An effective quasi-particle model for the interaction between the solitons is derived by means of a variational approximation, which demonstrates that the inelastic nature of the collision arises from a coupling of the gauge field to velocities of the solitons. In addition, we derive a set of interaction potentials which show that the influence of the gauge field appears as a short-range potential, that can give rise to both attractive and repulsive interactions.

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Section: Linear Calculationsmentioning

confidence: 99%

Section: Collision Dynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory

et al. 2018

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“…Known conserved quantities are replicated with high accuracy. This is a regime accessible to current BEC experiments [22,24,28]. We show that direct experimental tests of predictions for soliton fragmentation and centerof-mass dynamics are possible in an exponentially complex regime where exact calculation is extremely difficult.…”

mentioning

confidence: 96%

“…The present protocol employs a localized non-interacting BEC as the initial state, following earlier proposals [29,30]. The timescales and numbers used are within the general parameter range achievable with current 7 Li [22] and 85 Rb [28] ultra-cold atomic physics experiments.…”

mentioning

confidence: 99%

One-dimensional Bose gas dynamics: Breather relaxation

Opanchuk

Drummond

2017

Phys. Rev. A

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One-dimensional Bose gases are a useful testing-ground for quantum dynamics in many-body theory. They allow experimental tests of many-body theory predictions in an exponentially complex quantum system. Here we calculate the dynamics of a higher-order soliton in the mesoscopic case of N = 10 3 − 10 4 particles, giving predictions for quantum soliton breather relaxation. These quantum predictions use a truncated Wigner approximation, which is a 1/N expansion, in a regime where other exactly known predictions are recovered to high accuracy. Such dynamical calculations are testable in forthcoming BEC experiments.Techniques for observing near lossless quantum dynamics have led to quantitative tests of quantum field dynamics in photonic systems [1][2][3][4]. Improvements in ultra-cold quantum gas experiments mean that these experiments can now also compare first principles calculations of many-body quantum dynamics with observations [5]. The 1D Bose gas, with its well-understood conservation laws [6] and exact solutions [7,8] is an excellent testing ground for these ideas. Second-order correlations in thermal equilibrium with repulsive interactions have been predicted [9][10][11][12] and verified experimentally [13,14]. In these systems, there is evidence of steady-states that do not have a Gibbs structure [15,16]. Attractive matter-wave solitons have also been experimentally observed [17][18][19][20][21][22].Here we show that the dynamical stability of higherorder matter-wave solitons prepared by quenching is experimentally testable. Fragmentation and damping of breathing oscillations [23,24] are predicted to persist even up to a mean particle number of N = 1000. These calculations use the truncated Wigner approximation, which is a 1/N expansion [25][26][27]. Known conserved quantities are replicated with high accuracy. This is a regime accessible to current BEC experiments [22,24,28]. We show that direct experimental tests of predictions for soliton fragmentation and centerof-mass dynamics are possible in an exponentially complex regime where exact calculation is extremely difficult.Fragmentation causes a decay in oscillation that is predicted to happen gradually, without the abrupt changes after a short evolution time found by variational methods [29]. Such methods are known to disagree with exact COM spreading results [30], which means that they violate Galilean invariance [31]. We show that this is because the number of dissociation channels is much larger than the number of variational modes used in such calculations. The oscillation decay found here is slower than predicted at very small particle number [23], and also less pronounced than the predicted fragmentation at small N obtained from exact analysis [24]. However, this difference is qualitatively consistent with the scaling we find with N : where fragmentation and breather relaxation are reduced as N increases.Here we investigate the dynamics of a higher-order soliton or breather. In this case, even more dramatic effects can occur due to quantum fragment...

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Probing Non-Equilibrium Dynamics in Two-Dimensional Quantum Gases

Chen

2022

Springer Theses

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Observation of a modulational instability in Bose-Einstein condensates

Cited by 102 publications

References 18 publications

Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory

Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory

One-dimensional Bose gas dynamics: Breather relaxation

Probing Non-Equilibrium Dynamics in Two-Dimensional Quantum Gases

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