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Statics and dynamics of quasi one-dimensional Bose-Einstein condensate in harmonic and dimple trap
Quantum Gases · Submitted 22 Aug 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Secondly, once the red- or blue-detuned dT is switched off, we find that bright shock-waves or gray/dark bi-soliton trains emerge which oscillate within the harmonic confinement with a characteristic frequency.
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We investigate a quasi one-dimensional $^{87}\text{Rb}$ Bose-Einstein condensate in a harmonic trap with an additional dimple trap (dT) in the center. Within a zero-temperature Gross-Pitaevskii mean-field description we provide a one-dimensional physical intuitive model, which we solve by both a time-independent variational approach and numerical calculations. With this we obtain at first equilibrium results for the emerging condensate wave function which reveal that a dimple trap potential induces a bump or a dip in case of a red- or a blue-detuned Gaussian laser beam, respectively. Afterwards, we investigate how this dT induced bump/dip-imprint upon the condensate wave function evolves for two quench scenarios. At first we consider the generic case that the harmonic confinement is released. During the resulting time-of-flight expansion it turns out that the dT induced bump in the condensate wave function remains present, whereas the dip starts decaying after a characteristic time scale which decreases with increasing blue-detuned dT depth. Secondly, once the red- or blue-detuned dT is switched off, we find that bright shock-waves or gray/dark bi-soliton trains emerge which oscillate within the harmonic confinement with a characteristic frequency.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate a quasi one-dimensional $^{87}\text{Rb}$ Bose-Einstein condensate in a harmonic trap with an additional dimple trap (dT) in the center. | contribution 0.94 | 0.69 | 0.03 | asserted 0.85 |
| s1 | Within a zero-temperature Gross-Pitaevskii mean-field description we provide a one-dimensional physical intuitive model, which we solve by both a time-independent variational approach and numerical calculations. | method 0.99 | 0.94 | 0.03 | asserted 0.98 |
| s2 | With this we obtain at first equilibrium results for the emerging condensate wave function which reveal that a dimple trap potential induces a bump or a dip in case of a red- or a blue-detuned Gaussian laser beam, respectively. | result 1.00 | 0.93 | 0.17 | asserted 1.00 |
| s3 | Afterwards, we investigate how this dT induced bump/dip-imprint upon the condensate wave function evolves for two quench scenarios. | contribution 0.92 | 0.91 | 0.05 | asserted 0.66 |
| s4 | At first we consider the generic case that the harmonic confinement is released. | method 0.66 | 0.68 | 0.02 | asserted 0.75 |
| s5 | During the resulting time-of-flight expansion it turns out that the dT induced bump in the condensate wave function remains present, whereas the dip starts decaying after a characteristic time scale which decreases with increasing blue-detuned dT depth. | result 1.00 | 0.95 | 0.20 | asserted 1.00 |
| s6 | Secondly, once the red- or blue-detuned dT is switched off, we find that bright shock-waves or gray/dark bi-soliton trains emerge which oscillate within the harmonic confinement with a characteristic frequency. | result 1.00 | 0.96 | 0.29 | asserted 1.00 |
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Original abstract
We investigate a quasi one-dimensional $^{87}\text{Rb}$ Bose-Einstein condensate in a harmonic trap with an additional dimple trap (dT) in the center. Within a zero-temperature Gross-Pitaevskii mean-field description we provide a one-dimensional physical intuitive model, which we solve by both a time-independent variational approach and numerical calculations. With this we obtain at first equilibrium results for the emerging condensate wave function which reveal that a dimple trap potential induces a bump or a dip in case of a red- or a blue-detuned Gaussian laser beam, respectively. Afterwards, we investigate how this dT induced bump/dip-imprint upon the condensate wave function evolves for two quench scenarios. At first we consider the generic case that the harmonic confinement is released. During the resulting time-of-flight expansion it turns out that the dT induced bump in the condensate wave function remains present, whereas the dip starts decaying after a characteristic time scale which decreases with increasing blue-detuned dT depth. Secondly, once the red- or blue-detuned dT is switched off, we find that bright shock-waves or gray/dark bi-soliton trains emerge which oscillate within the harmonic confinement with a characteristic frequency.
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2 arXiv papers cite this in 9 sentences
Papers citing it · 6 sentences without a confident label
Compares with it 1 paper
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The Hermite-Gaussian dimple trap geometry maybe more applicable to soliton interferometry rather than the Gaussian barrier adopted in Refs. [ref] , because one can shape solitons.
Sculpting quasi one-dimensional Bose-Einstein condensate to generate calibrated matter-waves · Summary and Conclusion · 0.85
Cites it as background 2 papers
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Due to their quantum coherence, BECs exhibit rich and complex dynamic patterns, which range from the celebrated matter-wave interference of two colliding condensates [ref] over Faraday waves [ref] to the particle-like excitations of solitons [ref] .
Numerical study of localized impurity in a Bose-Einstein condensate · Wave Packets Versus Solitons · 0.98
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Recently, optical dipole traps created by a red-detuned laser beam have become common, experimentally [ref] as well as theoretically [ref] , they are known as a “tweezer” or “dimple-trap” provided that the trap is quite sharp.
Sculpting quasi one-dimensional Bose-Einstein condensate to generate calibrated matter-waves · Introduction · 0.88
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