Breathing mode in two-dimensional binary self-bound Bose-gas droplets

Stürmer, P.; Tengstrand, M. Nilsson; Sachdeva, Rashi; Reimann, S. M.

doi:10.1103/physreva.103.053302

Cited by 22 publications

(8 citation statements)

References 74 publications

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“…In this equation valid up to order 2, we can replace S by its first-order approximation (23), since it is multiplied by D which is itself at least of order 1. We therefore obtain at the second order in the small parameters…”

Section: A3 Born Approximation For the Mediated Interactionmentioning

confidence: 99%

“…This novel state of matter, known as a quantum droplet, was realized experimentally in [19,20], and the link between these 3D droplets and 1D solitons was clarified in [21]. Interestingly, the role of quantum fluctuations is known to be enhanced in low dimensions, resulting in quantum droplet states with properties distinct from the 3D case, both at equilibrium [22] and close to equilibrium [23].…”

Section: Introductionmentioning

confidence: 95%

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The cross-over from Townes solitons to droplets in a 2D Bose mixture

et al. 2023

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When two Bose-Einstein condensates – labelled 1 and 2 – overlap spatially, the equilibrium state of the system depends on the miscibility criterion for the two fluids. Here, we theoretically focus on the non-miscible regime in two spatial dimensions and explore the properties of the localized wave packet formed by the minority component 2 when immersed in an infinite bath formed by component 1. We address the zero-temperature regime and describe the two-fluid system by coupled classical field equations. We show that such a wave packet exists only for an atom number N 2 above a threshold value corresponding to the Townes soliton state. We identify the regimes where this localized state can be described by an effective single-field equation up to the droplet case, where component 2 behaves like an incompressible fluid. We study the near-equilibrium dynamics of the coupled fluids, which reveals specific parameter ranges for the existence of localized excitation modes.

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Section: A3 Born Approximation For the Mediated Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

The cross-over from Townes solitons to droplets in a 2D Bose mixture

et al. 2023

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“…The theoretical modeling of droplets in atomic systems is achieved through an extended Gross-Pitaevskii (eGPE) framework [1,25] which has been utilized to probe a plethora of their properties. In short-range bosonic mixtures that we investigate herein, these include, but are not limited to, their inelastic collisions [26,27], structural deformations from a Gaussian-shape to a flat-top profile [27], the behavior of their collective modes [27][28][29][30][31][32], the triggering of modulational instability events [33] and their statistical mechanics [34], as well as the effects of thermal instabilities [35][36][37]. Beyond LHY correlation effects have also been discussed by considering self-consistently higher-order corrections [38][39][40][41][42] revealing, for instance, slight alterations in the breathing frequency or an enhancement of the expansion velocity.…”

Section: Introductionmentioning

confidence: 99%

Solitary waves in a quantum droplet-bearing system

Katsimiga¹,

Mistakidis²,

Koutsokostas³

et al. 2023

Preprint

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We unravel the existence and stability properties of dark soliton solutions as they extend from the regime of trapped quantum droplets towards the Thomas-Fermi limit in homonuclear symmetric Bose mixtures. Leveraging a phase-plane analysis, we identify the regimes of existence of different types of quantum droplets and subsequently examine the possibility of black and gray solitons and kink-type structures in this system. Moreover, we employ the Landau dynamics approach to extract an analytical estimate of the oscillation frequency of a single dark soliton in the relevant extended Gross-Pitaevskii model. Within this framework, we also find that the single soliton immersed in a droplet is stable, while multisoliton configurations exhibit parametric windows of oscillatory instabilities. Our results pave the way for studying dynamical features of nonlinear multisoliton excitations in a droplet environment in contemporary experimental settings.

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“…On the theoretical side, droplets have been found to emerge also in Bose-Fermi mixtures with [18] and without spin-orbit coupling [19,20], as well as in Bose-Bose mixtures in the presence of three-body interactions [21,22]. Moreover, collective excitations [23] and the properties of topological excitations [24][25][26][27][28] e.g. vortices [24] embedded in a droplet background have been investigated to a certain extent.…”

Section: Introductionmentioning

confidence: 99%

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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Breathing mode in two-dimensional binary self-bound Bose-gas droplets

Cited by 22 publications

References 74 publications

The cross-over from Townes solitons to droplets in a 2D Bose mixture

The cross-over from Townes solitons to droplets in a 2D Bose mixture

Solitary waves in a quantum droplet-bearing system

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

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