Quantum Squeezing of Matter-Wave Solitons in Bose-Einstein Condensates

Abstract

We investigate the quantum squeezing of matter-wave solitons in atomic Bose–Einstein condensates. By calculating quantum fluctuations of the solitons via solving the Bogoliubov–de Gennes equations, we show that significant quantum squeezing can be realized for both bright and dark solitons. We also show that the squeezing efficiency of the solitons can be enhanced and manipulated by atom–atom interaction and soliton blackness. The results reported here are beneficial not only for understanding quantum property of matter-wave solitons, but also for promising applications of Bose-condensed quantum gases.

Higher-dimensional Chen–Lee–Liu equation and asymmetric peakon soliton

“…It is generally believed that IST integrable systems possess infinite symmetries and conservation laws, [2,3] analytic behaviors related to Painlevé property, [4,5] Hirota bilinear form and τ function, [6] Darboux transformation and Bäcklund transformation, as well as the nonlinear superposition principle, [7] Hamiltonian and bi-Hamiltonian structure, and recursion operator. [8] Due to the remarkable properties, soliton theories and the related integrable systems have been popularly used to describe the remarkable nonlinear phenomena in different branches of physics, for example, the particle physics and nuclear physics, [9,10] condensed matter physics, [11][12][13][14][15][16] fluid dynamics, [17,18] field theory, [19][20][21][22] cosmology, [23] and nonlinear optics. [24][25][26] However, most research to date has mainly concentrated on lower-dimensional integrable systems, specifically (1 + 1)dimensional or (2+1)-dimensional systems due to the scarcity of higher-dimensional integrable systems.…”

Three-Wave Mixing of Dipole Solitons in One-Dimensional Quasi-Phase-Matched Nonlinear Crystals

“…[24][25][26][27][28][29] Notably, 𝜒 (2) nonlinear optical crystals are a functional material, in which the frequency doubling (or "frequency") crystals can be used for frequency conversion of the laser wavelength, thus expanding the tunable range of lasers, which offers an important application value in the field of laser technology. [30][31][32] A soliton is a typical phenomenon in a nonlinear system, and it has attracted the interest of researchers from areas of quantum physics, [33,34] cold atoms, [35][36][37] condense matter, [38][39][40][41] optics, [42,43] etc. Here, we focus on optical soliton transport in nonlinear optical field modula-tion; 𝜒 (2) nonlinear optical crystals show strong, and fast nonlinear optical responses are proved to be favorable platforms for studying soliton transport.…”