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Quantum Electronics and Laser Science Conference

Multipartite entanglement in non-equilibrium quantum phase transition in a collective atomic system

Kishore T. Kapale, G. S. Agarwal

Published May 1, 2007• 0 citations
Publisher

Abstract

We study multipartite entanglement in non-equilibrium quantum phase transition in a coherently driven atomic ensemble undergoing collective decay.
DOI
10.1109/qels.2007.4431681

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Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text K. T. Kapale and G. S. Agarwal, "Multipartite Entanglement in Non-Equilibrium Quantum Phase Transition in a Collective Atomic System," in International Conference on Quantum Information, OSA Technical Digest (CD) (Optica Publishing Group, 2007), paper JWC64. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article

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We study multipartite entanglement in non-equilibrium quantum phase transition (NEQPT) attainable in a coherently driven atomic ensemble undergoing collective decay. The NEQPT arises in the steady state of the system as the drive field strength is varied in comparison with the decay parameter. A close connection is observed between the critical behavior and the multi-partite entanglement in the system determined via the von Neumann entropy. The derivative of the von Neumann entropy shows Lambda-type behavior typical of the second order phase transitions. We further show that the calculated bi- and tri- partite entropies satisfy the Lieb inequality.
Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text K. T. Kapale and G. S. Agarwal, "Multipartite Entanglement in Non-Equilibrium Quantum Phase Transition in a Collective Atomic System," in International Conference on Quantum Information, OSA Technical Digest (CD) (Optica Publishing Group, 2007), paper JWC64. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article
This paper establishes the theoretical framework of Many-Body Quantum Frequency Synchronization Criticality (MQFSC), investigating how an ensemble of N interacting quantum systems undergoes a sudden non-equilibrium phase transition from an incoherent state to a frequency-locked collective phase. We introduce the quantum order parameter for frequency synchronization, defined as R_omega = | (1/N) sum_{j=1}^N exp(i omega_j t) |, which shifts from zero to unity when the coupling strength exceeds a sharp critical threshold denoted by K > K_c. Utilizing Lindblad master equations and quantum mean-field approximations, we derive the exact critical coupling condition and characterize the underlying critical phenomena, including quantum fluctuations, critical slowing down, and enhanced multipartite entanglement. These findings bridge non-equilibrium statistical mechanics and quantum information science, opening new avenues for advanced quantum metrology and macroscopic coherence engineering.