We consider the dynamics of a driven Bose-Einstein condensate with positive scattering length. Employing an accustomed variational treatment we show that when the scattering length is time modulated as a{1+epsilonsin[omega(t)t]}, where omega(t) increases linearly in time, i.e., omega(t)=gammat, the response frequency of the condensate locks to the eigenfrequency for small values of epsilon and gamma. A simple analytical model is presented which explains this phenomenon by mapping it to an auto-resonance, i.e., close to resonance the reduced equations describing the collective behavior of the condensate are equivalent to those of a virtual particle trapped in a finite-depth energy minimum of an effective potential.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.75.036208 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
investigations on hydrodynamic phonon transport: From diffusion to convection.
Int J Heat Mass Transf
March 2024
Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, CA 90095, United States of America.
In classical theory, heat conduction in solids is regarded as a diffusion process driven by a temperature gradient, whereas fluid transport is understood as convection process involving the bulk motion of the liquid or gas. In the framework of theory, which is directly built upon quantum mechanics without relying on measured parameters or phenomenological models, we observed and investigated the fluid-like convective transport of energy carriers in solid heat conduction. Thermal transport, carried by phonons, is simulated in graphite by solving the Boltzmann transport equation using a Monte Carlo algorithm.
View Article and Find Full Text PDFAbrikosov clusters in chiral liquid crystal droplets.
Rep Prog Phys
November 2024
Departamento de Química Orgánica, Facultad de Ciencias Químicas, Universidad de Concepción, Casilla 160-C, Concepción, Chile.
Article Synopsis
- Researchers have explored how chiral liquid crystal droplets can form self-organizing vortex clusters similar to Abrikosov lattices found in other materials.
- The study uses a Ginzburg-Landau-like equation to explain the interaction dynamics that lead to these clusters, revealing a balance between repulsive forces and confinement within the droplets.
- Findings contribute to a deeper theoretical understanding of vortex organization in liquid crystals and suggest new ways to manipulate these topological defects for potential applications.
The generation of patterns by breaking the spatial symmetry in external confinement is a captivating area of physics. The emergence of patterns is a fundamental inquiry spanning various disciplines such as nonlinear optics, condensed matter physics, and fluid dynamics. The article investigates the generation of a variety of patterns in a one-dimensional binary mixture of Bose-Einstein condensate forming quantum droplets.
View Article and Find Full Text PDFObservation of a phase transition from a continuous to a discrete time crystal.
Rep Prog Phys
July 2024
Zentrum für Optische Quantentechnologien and Institut für Quantenphysik, Universität Hamburg, 22761 Hamburg, Germany.
Discrete (DTCs) and continuous time crystals (CTCs) are novel dynamical many-body states, that are characterized by robust self-sustained oscillations, emerging via spontaneous breaking of discrete or continuous time translation symmetry. DTCs are periodically driven systems that oscillate with a subharmonic of the external drive, while CTCs are continuously driven and oscillate with a frequency intrinsic to the system. Here, we explore a phase transition from a continuous time crystal to a discrete time crystal.
View Article and Find Full Text PDFReal-time dynamics of angular momentum transfer from spin to acoustic chiral phonon in oxide heterostructures.
Nat Nanotechnol
September 2024
Department of Physics and Photon Science, Gwangju Institute of Science and Technology (GIST), Gwangju, Republic of Korea.
Chiral phonons have recently been explored as a novel degree of freedom in quantum materials. The angular momentum carried by these quasiparticles is generated by the breaking of chiral degeneracy of phonons, owing to the chiral lattice structure or the rotational motion of ions of the material. In ferromagnets, a mechanism for generating non-equilibrium chiral phonons has been suggested, but their temporal evolution, which obeys Bose-Einstein statistics, remains unclear.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!