Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension

Mistakidis, S. I.; Mithun, Thudiyangal; Kevrekidis, P. G.; Sadeghpour, H. R.; Schmelcher, Peter

doi:10.1103/physrevresearch.3.043128

Cited by 28 publications

(25 citation statements)

References 72 publications

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“…Nevertheless, in one dimension, both dipolar and Bose-Bose mixtures have been investigated already by using ab-initio approaches like Monte-Carlo or exact diagonalization, for example in Refs. [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

Kopyciński¹,

Łebek²,

Marciniak³

et al. 2022

SciPost Phys.

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Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose gas for arbitrary interaction strength using a hydrodynamic approach. We use linearization to study particle (type-I) excitations and numerical minimization to study hole (type-II) excitations. We observe a good agreement between our approach and exact solutions of the Lieb-Liniger model for the particle modes and discrepancies for the hole modes. Therefore, the hydrodynamical equations find to be useful for long-wave structures like phonons and of a limited range of applicability for short-wave ones like narrow solitons. We discuss potential further applications of the method.

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Section: Introductionmentioning

confidence: 99%

Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

Kopyciński¹,

Łebek²,

Marciniak³

et al. 2022

SciPost Phys.

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“…The lifetime of droplets is expected to be prolonged in 1D [46,47] and in the case of heteronuclear mixtures, due to their lower density [11]. In spite of this advantage, heteronuclear mixtures, where correlation effects should be enhanced due to the mixed character of the ensuing droplet, have not been extensively studied thus far [48][49][50]. This is in part due to the complicated form of the corresponding modified Gross-Pitaevskii (MGP) equation [17,48].…”

Section: Introductionmentioning

confidence: 99%

“…It is a partial aim of our study to explore the role of correlations in harmonically trapped heteronuclear mixtures and the associated droplet configurations. In 1D, droplets have been primarily described within the MGP framework [35-37, 39, 51], but there are also notable cases where non-perturbative approaches were utilized to unveil beyond-LHY physics in free space [50,52,53] and in lattice settings [29,30]. Interestingly, however, the formation of 1D harmonically trapped droplets remains largely unexplored [50,54,55].…”

Section: Introductionmentioning

confidence: 99%

“…In 1D, droplets have been primarily described within the MGP framework [35-37, 39, 51], but there are also notable cases where non-perturbative approaches were utilized to unveil beyond-LHY physics in free space [50,52,53] and in lattice settings [29,30]. Interestingly, however, the formation of 1D harmonically trapped droplets remains largely unexplored [50,54,55]. Within the MGP framework [50,54], FT droplet structures were shown to be suppressed, while it was argued that they can exist using temporally varying interactions [55].…”

Section: Introductionmentioning

confidence: 99%

“…Interestingly, however, the formation of 1D harmonically trapped droplets remains largely unexplored [50,54,55]. Within the MGP framework [50,54], FT droplet structures were shown to be suppressed, while it was argued that they can exist using temporally varying interactions [55].…”

Section: Introductionmentioning

confidence: 99%

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Correlated dynamics of collective droplet excitations in a one-dimensional harmonic trap

Englezos¹,

Mistakidis²,

Schmelcher³

2022

Preprint

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We address the existence and dynamics of one-dimensional harmonically confined quantum droplets, appearing in two-component mixtures by deploying a nonperturbative approach. We find that, in symmetric homonuclear settings, beyond Lee-Huang-Yang correlations result in flattop droplet configurations for either decreasing intercomponent attraction or larger atom number. Asymmetric mixtures feature spatial mixing among the involved components with the more strongly interacting or heavier one exhibiting flat-top structures. Applying quenches on the harmonic trap we trigger the lowest-lying collective droplet excitations. The interaction-dependent breathing frequency, being slightly reduced in the presence of correlations, shows a decreasing trend for stronger attractions. Semi-analytical predictions are also obtained within the Lee-Huang-Yang framework. For relatively large quench amplitudes the droplet progressively delocalizes and higher-lying motional excitations develop in its core. Simultaneously, enhanced intercomponent entanglement and longrange two-body intracomponent correlations arise. In sharp contrast, the dipole motion remains robust irrespectively of the system parameters. Species selective quenches lead to a correlationinduced dephasing of the droplet or to irregular dipole patterns due to intercomponent collisions.

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Collisional dynamics of symmetric two-dimensional quantum droplets

Fei

Chen

et al. 2022

Front. Phys.

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Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension

Cited by 28 publications

References 72 publications

Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

Correlated dynamics of collective droplet excitations in a one-dimensional harmonic trap

Collisional dynamics of symmetric two-dimensional quantum droplets

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