Nonlinear Ramsey interferometry with the Rosen-Zener pulses on a two-component Bose-Einstein condensate

TL;DR

This paper presents a scheme for nonlinear Ramsey interferometry using a two-component Bose-Einstein condensate with Rosen-Zener pulses, revealing how nonlinearity influences interference patterns and can be used for parameter calibration.

Contribution

It introduces a novel nonlinear Ramsey interferometry scheme with Rosen-Zener pulses and analyzes how nonlinearity and asymmetry affect interference patterns.

Findings

Nonlinear Ramsey fringes display diverse structures due to nonlinearity and asymmetry.

The frequency of the fringes directly reflects the nonlinearity strength.

The scheme can be used to calibrate atomic parameters like scattering length.

Abstract

We propose a feasible scheme to realize nonlinear Ramsey interferometry with a two-component Bose-Einstein condensate, where the nonlinearity arises from the interaction between coherent atoms. In our scheme, two Rosen-Zener pulses are separated by an intermediate holding period of variable duration and through varying the holding period we have observed nice Ramsey interference patterns in time domain. In contrast to the standard Ramsey fringes our nonlinear Ramsey patterns display diversiform structures ascribed to the interplay of the nonlinearity and asymmetry. In particular, we find that the frequency of the nonlinear Ramsey fringes exactly reflects the strength of nonlinearity as well as the asymmetry of system. Our finding suggests a potential application of the nonlinear Ramsey interferometry in calibrating the atomic parameters such as scattering length and energy spectrum.