Quantum phase transitions in fully connected spin models: an entanglement perspective

Abstract

We consider a set of fully connected spins models that display first- or second-order transitions and for which we compute the ground-state entanglement in the thermodynamical limit. We analyze several entanglement measures (concurrence, Rényi entropy, and negativity), and show that, in general, discontinuous transitions lead to a jump of these quantities at the transition point. Interestingly, we also find examples where this is not the case.

9 pages, 7 figures, published version

References in corpus (14)

• Entanglement in a second order quantum phase transition
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
• Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model
• Entanglement in a first order quantum phase transition
• Adiabatic quantum dynamics of the Lipkin-Meshkov-Glick model
• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
• Concurrence in collective models
• Collective spin systems in dispersive optical cavity QED: Quantum phase transitions and entanglement
• Quantum Fidelity and Thermal Phase Transitions
• Reduced fidelity susceptibility and its finite-size scaling behaviors
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• Description of thermal entanglement with the static path plus random-phase approximation
• Finite-Temperature Fidelity-Metric Approach to the Lipkin-Meshkov-Glick Model

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• On quantum mean-field models and their quantum annealing
• Quantum annealing correction at finite temperature: ferromagnetic $p$-spin models
• Heisenberg Uncertainty Principle as Probe of Entanglement Entropy: Application to Superradiant Quantum Phase Transitions
• Exact expression of the energy gap at first-order quantum phase transitions of a non-stoquastic Hamiltonian
• Mutual information in interacting spin systems