Chirp Control of Sinusoidal Lattice Modes in Bose-Einstein Condensate

TL;DR

This paper investigates how chirp management can control sinusoidal lattice modes in a Bose-Einstein condensate, leading to precise manipulation of superfluid waves and phase transitions.

Contribution

It introduces a novel method of controlling BEC excitations through chirp management in a moving optical lattice, revealing new dynamical behaviors.

Findings

Controlled superfluid matter wave propagation via chirp management

Identification of a dynamical phase transition from superfluid to insulator

Exact energy expressions elucidate the control mechanisms

Abstract

A parametrically forced Bose-Einstein condensate (BEC) is studied in the mean field approach for the case of a general moving optical lattice. The interaction between the atoms in the condensate and the time dependent lattice potential leads to a novel propagating superfluid matter wave, which can be controlled through chirp management. This system, when placed in a trap, accelerates and undergoes rapid nonlinear compression, controlled by the chirp. The density achieves its maximum, precisely when the matter wave changes direction. A dynamical phase transition is identified, which takes the superfluid phase to an insulating state. The exact expression for energy is obtained and analyzed in detail to gain physical understanding of the chirp management of the sinusoidal excitations and also the dynamical phase transition.