Uncertainty product of an out-of-equilibrium many-particle system

Klaiman, Shachar; Streltsov, Alexej I.; Alon, Ofir E.

doi:10.1103/physreva.93.023605

Cited by 37 publications

(70 citation statements)

References 73 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The mean-field (M = 1) and many-body (M ≥ 3) values are, again, separated from each other, but now the former lie below the later, and there is only about 1%-4% of a difference depending on the repulsion strength and barrier height, also see [12,19]. Thus, the momentum variance rather weakly depends on the (small amount of) depletion.…”

Section: Bosons In An Annulus Subject To a Tiltmentioning

confidence: 92%

Analysis of a Trapped Bose–Einstein Condensate in Terms of Position, Momentum, and Angular-Momentum Variance

Alon

2019

Symmetry

Self Cite

View full text Add to dashboard Cite

We analyze, analytically and numerically, the position, momentum, and in particular the angularmomentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. The differences between the variances at the mean-field level, which are attributed to the shape of the BEC, and the variances at the many-body level, which incorporate depletion, are used to characterize position, momentum, and angular-momentum correlations in the BEC for finite systems and at the limit of an infinite number of particles where the bosons are 100% condensed. Finally, we also explore inter-connections between the variances.

show abstract

Section: Bosons In An Annulus Subject To a Tiltmentioning

confidence: 92%

Analysis of a Trapped Bose–Einstein Condensate in Terms of Position, Momentum, and Angular-Momentum Variance

Alon

2019

Symmetry

Self Cite

View full text Add to dashboard Cite

show abstract

“…where á ñ x i denotes the mean position of the ith species and á ¢ ñ x x i j refers to the two-body spatial moment of the position of particles of species i and j respectively [79,80].…”

Section: Appendix B Remarks On Convergencementioning

confidence: 99%

Dark–bright soliton dynamics beyond the mean-field approximation

et al. 2017

View full text Add to dashboard Cite

The dynamics of dark-bright (DB) solitons beyond the mean-field approximation is investigated. We first examine the case of a single DB soliton and its oscillations within a parabolic trap. Subsequently, we move to the setting of collisions, comparing the mean-field approximation to that involving multiple orbitals in both the dark and the bright component. Fragmentation is present and significantly affects the dynamics, especially in the case of slower solitons and in that of lower atom numbers. It is shown that the presence of fragmentation allows for bipartite entanglement between the distinguishable species. Most importantly the interplay between fragmentation and entanglement leads to the splitting of each of the parent mean-field DB solitons, placed off-center within the parabolic trap, into a fast and a slow daughter solitary wave. The latter process is in direct contrast to the predictions of the mean-field approximation. A variety of excitations including DB solitons in multiple (concurrently populated) orbitals is observed. Dark-antidark states and domain-wall-bright soliton complexes can also be observed to arise spontaneously in the beyond mean-field dynamics. that slower solitons and smaller atom numbers result in significant deviations from the mean-field, Gross-Pitaevskii (GP) limit.However, to the best of our knowledge, such studies have not been performed in a systematic fashion in multi-component settings and for associated solitary wave structures. In that light, herein we explore the case of DB solitons and their dynamics, as well as collisions both at and beyond the mean-field limit. To incorporate the quantum fluctuations stemming from the correlations in the DB soliton dynamics, we employ the multi-layer multi-configuration time-dependent Hartree method for bosons (ML-MCTDHB) [47,48] designed for simulating the quantum dynamics of bosonic mixtures. We consider both the oscillation of a single DB solitary wave in a trap, as well as the interaction of two symmetric solitary waves inside a parabolic trap. We compare and contrast the findings of the mean-field case (where a single orbital is effectively used in the dark-and brightcomponents) with cases where multiple orbitals are used. In all cases it is found that the initial mean-field DB solitons split into daughter DB solitary waves, in contrast to the well-known mean-field predictions. The robustness of the presented results is ensured by exploring settings that involve a higher number of orbitals thereby supporting the validity of our approximation and of the observed beyond mean-field excitations (see also appendix B). Within the employed multi-orbital approximation bipartite entanglement (see [49,50] and references therein) between the distinguishable species resulting from the spontaneous fragmentation of the DBs is generally present. More importantly it is the interplay between fragmentation and the resulting entanglement which gives rise to the observed dynamical structures.The dynamics of a single DB soliton being initialized off-ce...

show abstract

“…To investigate the frequency spectrum of the breathing mode we employ σ [46][47][48]. For a single interaction quench, it has been shown [14] that σ 2 M (ω) possesses two distinct frequency branches, shown in Fig.…”

Section: B Dominant Intrawell Excitations: the Cradle And The Breathmentioning

confidence: 99%

Quantum dynamical response of ultracold few-boson ensembles in finite optical lattices to multiple interaction quenches

2017

View full text Add to dashboard Cite

The correlated non-equilibrium quantum dynamics following a multiple interaction quench protocol for few-bosonic ensembles confined in finite optical lattices is investigated. The quenches give rise to an interwell tunneling and excite the cradle and a breathing mode. Several tunneling pathways open during the time interval of increased interactions, while only a few occur when the system is quenched back to its original interaction strength. The cradle mode, however, persists during and in between the quenches, while the breathing mode possesses dinstinct frequencies. The occupation of excited bands is explored in detail revealing a monotonic behavior with increasing quench amplitude and a non-linear dependence on the duration of the application of the quenched interaction strength. Finally, a periodic population transfer between momenta for quenches of increasing interaction is observed, with a power-law frequency dependence on the quench amplitude. Our results open the possibility to dynamically manipulate various excited modes of the bosonic system.

show abstract

Uncertainty product of an out-of-equilibrium many-particle system

Cited by 37 publications

References 73 publications

Analysis of a Trapped Bose–Einstein Condensate in Terms of Position, Momentum, and Angular-Momentum Variance

Analysis of a Trapped Bose–Einstein Condensate in Terms of Position, Momentum, and Angular-Momentum Variance

Dark–bright soliton dynamics beyond the mean-field approximation

Quantum dynamical response of ultracold few-boson ensembles in finite optical lattices to multiple interaction quenches

Contact Info

Product

Resources

About