Many-Particle Entanglement, Einstein-Podolsky-Rosen Steering and Bell Correlations in Bose-Einstein Condensates

This book provides theoretical methods and experimental results on the study of multipartite quantum correlations in spin-squeezed Bose–Einstein condensates, using ultracold atomic ensembles as a platform. It introduces criteria for detecting and characterizing entanglement, Einstein–Podolsky–Rosen steering, and Bell correlations and presents experimental observation of these correlations in systems of about 600 atoms.

Format: Hardback
Length: 187 pages
Publication date: 05 October 2021
Publisher: Springer Nature Switzerland AG

This book delves into the captivating realm of multipartite quantum correlations in spin-squeezed Bose-Einstein condensates, offering a comprehensive theoretical framework and experimental evidence. Nonclassical correlations in complex many-body systems hold immense appeal for fundamental research and practical applications, making ultracold atomic ensembles an ideal platform for their exploration.

Within this text, we introduce crucial criteria for detecting and characterizing multipartite entanglement, Einstein-Podolsky-Rosen steering, and Bell correlations. Moreover, we showcase the experimental observation of these remarkable correlations in systems comprising approximately 600 atoms, providing a tangible glimpse into the intricate behavior of quantum matter.

The study of multipartite quantum correlations in spin-squeezed Bose-Einstein condensates presents a rich tapestry of theoretical methods and experimental outcomes. By leveraging the unique properties of ultracold atomic ensembles, researchers can delve into the intricate interplay between particles, exploring phenomena such as entanglement, steering, and Bell correlations.

In this book, we introduce a set of criteria that enable the detection and characterization of multipartite entanglement, a fundamental aspect of quantum mechanics. Multipartite entanglement arises when multiple particles are interconnected in a way that their states cannot be described independently of each other. It manifests as a shared state that cannot be copied or divided without affecting the states of the individual particles.

One of the key tools for detecting multipartite entanglement is the measurement of the Einstein-Podolsky-Rosen (EPR) steering effect. This effect occurs when a pair of particles, initially in a pure state, undergo a measurement that causes their states to become entangled. The EPR steering effect is a direct manifestation of the nonlocal nature of quantum mechanics and provides a means to verify the existence of entanglement between particles.

Another important aspect of multipartite quantum correlations is the study of Bell correlations. Bell correlations arise when the states of two particles are correlated in a way that violates local realism. They are a fundamental test of quantum mechanics and have been experimentally observed in various systems, including spin-squeezed Bose-Einstein condensates.

In this book, we present the experimental observation of multipartite entanglement and Bell correlations in systems of about 600 atoms. The experimental setup involves preparing a spin-squeezed Bose-Einstein condensate and applying a magnetic field to manipulate the spin degrees of freedom of the atoms. By measuring the correlation between the spin and other properties of the atoms, such as their momentum or energy, researchers can detect the presence of multipartite entanglement and Bell correlations.

The experimental results presented in this book provide compelling evidence for the existence of multipartite quantum correlations in spin-squeezed Bose-Einstein condensates. They confirm the theoretical predictions and shed light on the complex behavior of quantum matter at the microscopic level.

The study of multipartite quantum correlations in spin-squeezed Bose-Einstein condensates has significant implications for both fundamental research and practical applications. For instance, these correlations can be used to develop new quantum communication protocols, such as quantum cryptography, that are secure against eavesdropping and tampering. Moreover, multipartite quantum correlations can be utilized in quantum computing, where they can enhance the speed and accuracy of solving complex problems.

In conclusion, this book presents a comprehensive theoretical framework and experimental evidence for the study of multipartite quantum correlations in spin-squeezed Bose-Einstein condensates. By leveraging the unique properties of ultracold atomic ensembles, researchers can explore the fascinating realm of nonclassical correlations and uncover the underlying principles of quantum mechanics. The experimental observation of multipartite entanglement and Bell correlations in systems of about 600 atoms provides a tangible demonstration of the power and potential of quantum science.

Weight: 471g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030854713
Edition number: 1st ed. 2021