Dynamical pruning of the non-equilibrium quantum dynamics of trapped ultracold bosons

Kohler, F.; Keiler, Kevin; Mistakidis, S. I.; Meyer, Hans‐Dieter; Schmelcher, Peter

doi:10.1063/1.5104344

Cited by 19 publications

(15 citation statements)

References 104 publications

(129 reference statements)

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“…To solve the underlying Schrödinger equation we need to determine the corresponding ML-MCTDHX equations of motion [61,76]. The latter can be accomplished by following e.g.…”

Section: Many-body Treatmentmentioning

confidence: 99%

Dissipative correlated dynamics of a moving impurity immersed in a Bose–Einstein condensate

Mistakidis¹,

Grusdt

Koutentakis³

et al. 2019

New J. Phys.

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We unravel the nonequilibrium correlated quantum quench dynamics of an impurity traveling through a harmonically confined Bose-Einstein condensate in one-dimension. For weak repulsive interspecies interactions the impurity oscillates within the bosonic gas. At strong repulsions and depending on its prequench position the impurity moves towards an edge of the bosonic medium and subsequently equilibrates. This equilibration being present independently of the initial velocity, the position and the mass of the impurity is inherently related to the generation of entanglement in the many-body system. Focusing on attractive interactions the impurity performs a damped oscillatory motion within the bosonic bath, a behavior that becomes more evident for stronger attractions. To elucidate our understanding of the dynamics an effective potential picture is constructed. The effective mass of the emergent quasiparticle is measured and found to be generically larger than the bare one, especially for strong attractions. In all cases, a transfer of energy from the impurity to the bosonic medium takes place. Finally, by averaging over a sample of simulated in situ single-shot images we expose how the singleparticle density distributions and the two-body interspecies correlations can be probed.

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“…To solve the underlying Schrödinger equation we need to determine the corresponding ML-MCTDHX equations of motion [61,76]. The latter can be accomplished by following e.g.…”

Section: Many-body Treatmentmentioning

confidence: 99%

Dissipative correlated dynamics of a moving impurity immersed in a Bose–Einstein condensate

Mistakidis¹,

Grusdt

Koutentakis³

et al. 2019

New J. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…indicates that for each s n i the particle number conservation condition å = s s n N i i has to be fulfilled. For the time propagation of the many-body wave function we employ the Dirac- [83][84][85] with the variation δΨ MB and obtain the corresponding equations of motion [74,86]. In conclusion, the ML-MCTDHX method takes all inter-and intraspecies correlations into account and gives us access to the complete many-body wave function.…”

Section: Approach To the Correlated Many-body Dynamicsmentioning

confidence: 99%

Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons

et al. 2020

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We unravel the correlated tunneling dynamics of an impurity trapped in a double well and interacting repulsively with a majority species of lattice trapped bosons. Upon quenching the tilt of the double well it is found that the quench-induced tunneling dynamics depends crucially on the interspecies interaction strength and the presence of entanglement inherent in the system. In particular, for weak couplings the impurity performs a rather irregular tunneling process in the double well. Increasing the interspecies coupling it is possible to control the response of the impurity which undergoes a delayed tunneling while the majority species effectively acts as a material barrier. For very strong interspecies interaction strengths the impurity exhibits a self-trapping behavior. We showcase that a similar tunneling dynamics takes place for two weakly interacting impurities and identify its underlying transport mechanisms in terms of pair and single-particle tunneling processes.

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“…Eventually, the single-particle functions are represented in a time-independent discrete variable representation (DVR) [63]. The propagation in time is performed by employing the Dirac-Frenkel variational principle [64,65] leading to a set of equations of motion for the system (see for more details [48,66]). The advantage of this method is its underlying multi-layering architecture of the total wave function combined with its time-dependent basis set [Eqs.…”

Section: Many-body Wave Function Ansatzmentioning

confidence: 99%

Many-body collisional dynamics of impurities injected into a double-well trapped Bose-Einstein condensate

Theel,

Keiler,

Mistakidis

et al. 2020

Preprint

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We unravel the many-body dynamics of a harmonically trapped impurity colliding with a bosonic medium confined in a double-well upon quenching the initially displaced harmonic trap to the center of the double-well. We reveal that the emerging correlation dynamics crucially depends on the impurity-medium interaction strength allowing for a classification into different dynamical response regimes. For strong attractive impurity-medium couplings the impurity is bound to the bosonic bath, while for intermediate attractions it undergoes an effective tunneling. In the case of weak attractive or repulsive couplings the impurity penetrates the bosonic bath and performs a dissipative oscillatory motion. Further increasing the impurity-bath repulsion results in the pinning of the impurity between the density peaks of the bosonic medium, a phenomenon that is associated with a strong impurity-medium entanglement. For strong repulsions the impurity is totally reflected by the bosonic medium. To unravel the underlying microscopic excitation processes accompanying the dynamics we employ an effective potential picture. We extend our results to the case of two bosonic impurities and demonstrate the existence of a qualitatively similar impurity dynamics.

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Dynamical pruning of the non-equilibrium quantum dynamics of trapped ultracold bosons

Cited by 19 publications

References 104 publications

Dissipative correlated dynamics of a moving impurity immersed in a Bose–Einstein condensate

Dissipative correlated dynamics of a moving impurity immersed in a Bose–Einstein condensate

Entanglement-assisted tunneling dynamics of impurities in a double well immersed in a bath of lattice trapped bosons

Many-body collisional dynamics of impurities injected into a double-well trapped Bose-Einstein condensate

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