Kink-like Solitons in Quantum Droplet
نویسندگان
چکیده
Solitonic excitations of the one-dimensional quantum droplets are obtained, which smoothly connect vacuum with flat-top droplet, akin to compactons in classical liquids. These solitons kink type, necessarily residing on a constant pedestal, determined by mean-field repulsion and beyond mean field correction having exactly one-third uniform condensate amplitude. Akin kinks, propagating modes occur pairs phase-locked background. The lowest chemical potential amplitude at boundary matches self-trapped droplet. More general analogous kind obtained through M\"obius transform, required solutions elliptic functions general.
منابع مشابه
Quantum coherence of discrete kink solitons in ion traps.
We propose to realize quantized discrete kinks with cold trapped ions. We show that long-lived solitonlike configurations are manifested as deformations of the zigzag structure in the linear Paul trap, and are topologically protected in a circular trap with an odd number of ions. We study the quantum-mechanical time evolution of a high-frequency, gap separated internal mode of a static kink and...
متن کاملSurface lattice kink solitons.
We predict theoretically that surface of an optical lattice imprinted in defocusing nonlinear media can support shock, or kink waves. Such new surface waves contain a modulationally stable pedestal and are strongly localized at the edge of the optical lattice due to Bragg-type reflection. The kink steepness and localization degree can be controlled by the lattice depth. We found two types of ki...
متن کاملUltrasonic Kink-Solitons in Fermi-Pasta-Ulam Chains
– We use the sharp pulse method to perform numerical experiments aimed at exciting moving high energy strongly localized kink-solitons in the Fermi-Pasta-Ulam chain of anharmonic oscillators. An approximate analytical expression of the kink-soliton is derived. This is compatible with the fact that these objects move with ultrasonic velocities, proportional to stiffness. For low excitation energ...
متن کاملQuantum kink and its excitations
We show how detailed properties of a kink in quantum field theory can be extracted from field correlation functions. This makes it possible to study quantum kinks in a fully non-perturbative way using Monte Carlo simulations. We demonstrate this by calculating the kink mass as well as the spectrum and approximate wave functions of its excitations. This way of measuring the kink mass has clear a...
متن کاملQuantum Solitons
Two themes are considered in this paper. First of all in the Introduction a comment is made about the Tzitzéica equation which occurred in the author’s work as reported in [1]. Much recent work has referred to this equation and a representative bibliography is given in this paper with brief comments. The second theme of this paper is concerned with work surrounding Quantum Solitons and the auth...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics B
سال: 2021
ISSN: ['0953-4075', '1361-6455']
DOI: https://doi.org/10.1088/1361-6455/ac1692