Quantum critical dynamics of a qubit coupled to an isotropic Lipkin-Meshkov-Glick bath

2007/02/28 by H. T. Quan, Z. D. Wang, C. P. Sun · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1103/physreva.76.012104

published as Phys. Rev. A 76, 012104 (2007) · 8 pages, 4 figures

arxiv created 2007/02/28 · openalex publication_date 2007/07/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explore a dynamic signature of quantum phase transition (QPT) in an isotropic Lipkin-Meshkov-Glick (LMG) model by studying the time evolution of a central qubit coupled to it. We evaluate exactly the time-dependent purity, which can be used to measure quantum coherence, of the central qubit. It is found that distinctly different behaviors of the purity as a function of the parameter reveal clearly the QPT point in the system. It is also clarified that the present model is equivalent to an anti--Jaynes-Cummings model under certain conditions.

Citations

• Validity of many-body approximation methods for a solvable model
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: Scaling of entanglement
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

Cited by

• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Franck-Condon effect in central spin system
• Lipkin-Meshkov-Glick model in a quantum Otto cycle