Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions

• Published in: Journal of magnetism and magnetic materials Vol. 444; pp. 227 - 235
• Main Authors: Singha Roy, Sudipto, Dhar, Himadri Shekhar, Rakshit, Debraj, Sen(De), Aditi, Sen, Ujjwal
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 15.12.2017; Elsevier BV
• Subjects: Ground state; One dimensional models; Order parameters; Phase boundaries; Phase diagrams; Phase transitions; Physical properties; Quantum dots; Quantum entanglement; Quantum mechanics
• ISSN: 0304-8853; 1873-4766
• DOI: 10.1016/j.jmmm.2017.07.101

•Bipartite and multipartite entanglement in the quantum spin-1/2 XXZ ladder ground state are analyzed.•Phase diagram in the model discernible by using bipartite and multipartite entanglement.•Using moderate-sized system is sufficient. Phase transition in quantum many-body systems inevitably causes changes in certain physical properties which then serve as potential indicators of critical phenomena. Besides the traditional order parameters, characterization of quantum entanglement has proven to be a computationally efficient and successful method for detection of phase boundaries, especially in one-dimensional models. Here we determine the rich phase diagram of the ground states of a quantum spin-1/2 XXZ ladder by analyzing the variation of bipartite and multipartite entanglements. Our study characterizes the different ground state phases and notes the correspondence with known results, while highlighting the finer details that emerge from the behavior of ground state entanglement. Analysis of entanglement in the ground state provides a clearer picture of the complex ground state phase diagram of the system using only a moderate-size model.