Quantum nondemolition measurement based generation of entangled states in two Bose–Einstein condensates. (19th May 2021)

• Record Type: Journal Article
• Authors: Aristizabal-Zuluaga, Juan E; Skobleva, Iuliia; Richter, Lars; Ji, Yangxu; Mao, Yuping; Kondappan, Manikandan; Ivannikov, Valentin; Byrnes, Tim
• Is Part Of: Journal of physics. Volume 54:Number 10(2021)
• Publication Date: 2021-05-19
• Subjects: Bose–Einstein condensate -- Einstein–Podolsky–Rosen steering -- Bell–CHSH correlations -- Mach–Zehnder interferometer; Atoms -- Periodicals; Molecules -- Periodicals; Optics -- Periodicals; Nuclear physics -- Periodicals; 539.6
• DOI: 10.1088/1361-6455/abf6b5
• Languages: English
• ISSNs: 0953-4075

Abstract

Abstract: We theoretically study a scheme for generating entanglement between two Bose–Einstein condensates (BECs). The scheme involves placing two BECs in the path of a Mach–Zehnder interferometer, where the coherent light interacts with the atoms due to a quantum nondemolition Hamiltonian. In contrast to standard approaches where a Holstein–Primakoff approximation is used, we use an exact wavefunction approach where the atoms can be initialized in an arbitrary state and the light–atom interaction times can be arbitrary. In the short time regime, it is possible to construct a very simple approximate theory for the overall effect of the scheme: amplitudes in the superposition between the two BECs with unequal spin eigenvalues are damped. We analyze the types of correlations, entanglement, Einstein–Podolsky–Rosen (EPR) steering, and Bell correlations that are produced and show that the state is similar to a spin-EPR state. Using a two-pulse sequence the correlations can be dramatically improved, where the state further approaches a spin-EPR state.