Investigation of Quantum Droplet: An Analytical Approach

Abstract

Recent observations of droplets in dipolar and binary Bose-Einstein condensate (BEC) motivates us to study the theory of droplet formation in detail. Precisely, we are interested in investigating the possibility of droplet formation in a quasi-one-dimensional geometry. The recent observations have concluded that the droplets are stabilized by the competition between effective mean-field and beyond mean-field interaction. Hence, it is possible to map the effective equation of motion to a cubic-quartic nonlinear Schrödinger equation (CQNLSE). We obtain two analytical solutions of the modified Gross-Pitaevskii equation or CQNLSE and verified them numerically. Based on their stability we investigate the parameter regime for which droplets can form. The effective potential allows us to conclude about the regions of soliton domination and self-bound droplet formations.

To appear in Annalen der Physik

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Collisions of self-bound quantum droplets
• Modulational instability, inter-component asymmetry and formation of quantum droplets in one-dimensional binary Bose gases
• Suppression of the quasi-two-dimensional quantum collapse in the attraction field by the Lee-Huang-Yang effect

Cited by in corpus (9)

• Interaction of One-Dimensional Quantum Droplets with Potential Wells and Barriers
• Dropleton-Soliton Crossover mediated via Trap Modulation
• Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
• Signature of Supersolidity in a Driven Cubic-Quartic Nonlinear Schrödinger Equation
• Josephson dynamics and localization revivals in ultradilute quantum liquids
• Dynamics of Bright Soliton Under Cubic-Quartic Interactions in Quasi One-Dimensional Geometry
• Quantum Liquid in Lower Dimensions: From the perspective of Surface Tension
• Quantum-droplet interferometry
• Dynamics of Quantum Droplets in a Quasi-one-dimensional Framework: An Analytical Approach