9 May 2008 | Luigi Amico, Rosario Fazio, Andreas Osterloh, Vlatko Vedral
Entanglement in many-body systems is a key topic at the intersection of quantum information and condensed matter physics. This review discusses the properties of entanglement in interacting spin, fermion, and boson systems, both at zero and finite temperatures. It covers bipartite and multipartite entanglement, their connection to phase diagrams, and their relation to thermodynamic quantities. The behavior of entanglement is analyzed in both equilibrium and out-of-equilibrium scenarios, with a focus on generating and manipulating entangled states using many-body Hamiltonians.
The review introduces various measures of entanglement, including bipartite entanglement in pure states, pairwise qubit entanglement in mixed states, localizable entanglement, entanglement witnesses, and multipartite entanglement measures. It discusses the entanglement entropy in different systems, such as spin chains, harmonic chains, and systems in higher dimensions. The role of entanglement in quantum phase transitions and its connection to quantum criticality is also explored.
The review also addresses the thermal entanglement and its experimental detection, as well as the dynamics of entanglement in quantum systems. It covers the entanglement of fermions and bosons, including the concept of localizable entanglement and the use of entanglement witnesses to detect entangled states. The review highlights the importance of entanglement in quantum information processing and its potential applications in quantum computing and communication.
The paper provides a comprehensive overview of the current understanding of entanglement in many-body systems, emphasizing the challenges and opportunities in quantifying and utilizing entanglement for quantum technologies. It also discusses the implications of entanglement for condensed matter physics and quantum field theory, highlighting the growing interdisciplinary interest in this area. The review concludes with a discussion of future directions and open questions in the field of many-body entanglement.Entanglement in many-body systems is a key topic at the intersection of quantum information and condensed matter physics. This review discusses the properties of entanglement in interacting spin, fermion, and boson systems, both at zero and finite temperatures. It covers bipartite and multipartite entanglement, their connection to phase diagrams, and their relation to thermodynamic quantities. The behavior of entanglement is analyzed in both equilibrium and out-of-equilibrium scenarios, with a focus on generating and manipulating entangled states using many-body Hamiltonians.
The review introduces various measures of entanglement, including bipartite entanglement in pure states, pairwise qubit entanglement in mixed states, localizable entanglement, entanglement witnesses, and multipartite entanglement measures. It discusses the entanglement entropy in different systems, such as spin chains, harmonic chains, and systems in higher dimensions. The role of entanglement in quantum phase transitions and its connection to quantum criticality is also explored.
The review also addresses the thermal entanglement and its experimental detection, as well as the dynamics of entanglement in quantum systems. It covers the entanglement of fermions and bosons, including the concept of localizable entanglement and the use of entanglement witnesses to detect entangled states. The review highlights the importance of entanglement in quantum information processing and its potential applications in quantum computing and communication.
The paper provides a comprehensive overview of the current understanding of entanglement in many-body systems, emphasizing the challenges and opportunities in quantifying and utilizing entanglement for quantum technologies. It also discusses the implications of entanglement for condensed matter physics and quantum field theory, highlighting the growing interdisciplinary interest in this area. The review concludes with a discussion of future directions and open questions in the field of many-body entanglement.