Academic Journal

Dynamics of quantum droplets in an external harmonic confinement.

Bibliographic Details
Title: Dynamics of quantum droplets in an external harmonic confinement.
Authors: Pathak, Maitri R., Nath, Ajay
Source: Scientific Reports; 4/28/2022, Vol. 12 Issue 1, p1-11, 11p
Subject Terms: Quantum theory, Phase transitions, Phase diagrams, Oscillator strengths, Harmonic oscillators
Abstract: Recent theoretical and experimental results show that one-dimensional (1D) weakly interacting atomic Bose-Bose mixtures with repulsive interspecies mean field (MF) interaction are stabilized by attractive quadratic beyond-mean-field (BMF) effects into self-bound quantum droplet (QD) in free space. Here, we construct an exact analytical model to investigate the structure and dynamics of QDs in presence of external harmonic confinement by solving the 1D extended Gross–Pitäevskii equation (eGPE) with temporal variation of MF and BMF interactions. The model provides the analytical form of wavefunction, phase, MF and BMF nonlinearities. The generation of QDs and interesting droplet to soliton transition in presence of regular/expulsive parabolic traps by taking the comparable MF and BMF interactions are illustrated. We derive the phase diagram of the droplet-soliton phase transition between amplitude of MF, BMF interactions and harmonic oscillator frequency. The strength and form of oscillator frequency are identified as key parameter for tuning the compression, fragmentation and transport of droplets. Finally, the stability of the obtained solutions are confirmed from Vakhitov–Kolokolov (VK) criterion and are found stable. [ABSTRACT FROM AUTHOR]
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  – Url: https://dx.doi.org/doi:10.1038/s41598-022-10468-6
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  Data: Dynamics of quantum droplets in an external harmonic confinement.
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  Data: <searchLink fieldCode="AR" term="%22Pathak%2C+Maitri+R%2E%22">Pathak, Maitri R.</searchLink><br /><searchLink fieldCode="AR" term="%22Nath%2C+Ajay%22">Nath, Ajay</searchLink>
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  Data: Scientific Reports; 4/28/2022, Vol. 12 Issue 1, p1-11, 11p
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  Data: <searchLink fieldCode="DE" term="%22Quantum+theory%22">Quantum theory</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+diagrams%22">Phase diagrams</searchLink><br /><searchLink fieldCode="DE" term="%22Oscillator+strengths%22">Oscillator strengths</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+oscillators%22">Harmonic oscillators</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Recent theoretical and experimental results show that one-dimensional (1D) weakly interacting atomic Bose-Bose mixtures with repulsive interspecies mean field (MF) interaction are stabilized by attractive quadratic beyond-mean-field (BMF) effects into self-bound quantum droplet (QD) in free space. Here, we construct an exact analytical model to investigate the structure and dynamics of QDs in presence of external harmonic confinement by solving the 1D extended Gross–Pitäevskii equation (eGPE) with temporal variation of MF and BMF interactions. The model provides the analytical form of wavefunction, phase, MF and BMF nonlinearities. The generation of QDs and interesting droplet to soliton transition in presence of regular/expulsive parabolic traps by taking the comparable MF and BMF interactions are illustrated. We derive the phase diagram of the droplet-soliton phase transition between amplitude of MF, BMF interactions and harmonic oscillator frequency. The strength and form of oscillator frequency are identified as key parameter for tuning the compression, fragmentation and transport of droplets. Finally, the stability of the obtained solutions are confirmed from Vakhitov–Kolokolov (VK) criterion and are found stable. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Scientific Reports is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1038/s41598-022-10468-6
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        Text: English
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        Type: general
      – SubjectFull: Phase transitions
        Type: general
      – SubjectFull: Phase diagrams
        Type: general
      – SubjectFull: Oscillator strengths
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      – SubjectFull: Harmonic oscillators
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              Text: 4/28/2022
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              Y: 2022
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