Lattice and quintic nonlinearity induced stripe phase in Bose–Einstein condensate under non-inertial and inertial motion

Abstract

We consider a parametrically forced Bose-Einstein condensate in the combined presence of an optical lattice and harmonic oscillator potential in the mean field approach. A spatial symmetry broken Bosecondensed phase in non-inertial and inertial frame yields a stripe phase in the presence of both cubic and quintic nonlinearities. We show that the existence of such stripe phase solely depends on the interplay between the quintic nonlinearity and the lattice potential. Furthermore, we observe that a time-dependent harmonic oscillator frequency destroys such stripe ordering. A linear stability analysis of the obtained solution is performed and we found that the solution is stable. In order to gain a better understanding of the underlying physics, we compute the energy, showing nonlinear compression of the condensate in some parameter domain.

Signature of supersolidity in a driven cubic–quartic nonlinear Schrödinger equation

“…In presence of a repulsive (regular) harmonic trap, the stripe phases lead to resonances. When the frequency of the chirped pulses is in resonance with the frequency of the harmonic trap, a significant increase in kinetic energy is observed, which gives rise to the nonlinear compression of the condensate [39].…”

“…The contribution of the quadratic chirped phase to the kinetic energy is solely responsible for this phenomenon [38,39]. In other words, the resonances occur when the driving frequency of the potential and external force matches with the natural frequency of the system.…”

Signature of Supersolidity in a Driven Cubic-Quartic Nonlinear Schrödinger Equation

“…These nonlinear resonances occur periodically at the point of nonlinear compression of BEC, where the density takes its maximum value. The contribution of the quadratic chirped phase to the kinetic energy is solely responsible for this phenomenon [26,32]. In other words, the resonances occur when the driving frequency of the potential and external force matches with the natural frequency of the system.…”