Quantum-limited metrology in the presence of collisional dephasing

Abstract

Including collisional decoherence explicitly, phase sensitivity for estimating effective scattering strength $\chi$ of a two-component Bose-Einstein condensate is derived analytically. With a measurement of spin operator ${\hat{J}}_x$, we find that the optimal sensitivity depends on initial coherent spin state. It degrades by a factor of $(2\gamma {)}^{1/3}$ below super-Heisenberg limit $\propto 1/N^{3/2}$ for particle number $N$ and the dephasing rate $1<<\gamma <N^{3/4}$. With a ${\hat{J}}_y$ measurement, our analytical results confirm that the phase $\varphi =\chi t\sim 0$ can be detected at the limit even in the presence of the dephasing.

3.2 pages, 3 figures

References in corpus (7)

• Nonlinear atom interferometer surpasses classical precision limit
• Spin squeezing in a generalized one-axis twisting model
• Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
• Quantum-limited metrology with product states
• A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
• Nonlinear quantum metrology using coupled nanomechanical resonators
• Quantum limited measurements of atomic scattering properties

Cited by in corpus (9)

• Fisher information under decoherence in Bloch representation
• Optical interferometry in the presence of large phase diffusion
• Quantum interferometry with binary-outcome measurements in the presence of phase diffusion
• Fisher information of a squeezed-state interferometer with a finite photon-number resolution
• Quantum metrology in the noisy intermediate-scale quantum era
• Enhancing phase sensitivity in Mach-Zehnder interferometer with various detection schemes using SU(1,1) coherent states
• Ultimate phase estimation in a squeezed-state interferometer using photon counters with a finite number resolution
• Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices
• Sudden change of interferometric power for X shape states