Entanglement crossover close to a quantum critical point

Abstract

We discuss the thermal entanglement close to a quantum phase transition by analyzing the concurrence for one dimensional models in the quantum Ising universality class. We demonstrate that the entanglement sensitivity to thermal and to quantum fluctuations obeys universal $T\ne 0$--scaling behaviour. We show that the entanglement, together with its criticality, exhibits a peculiar universal crossover behaviour.

12 pages; 5 figures (eps). References added; to be published in Europhysics Letters

References in corpus (10)

• Quantum criticality
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Entangled Quantum States of Magnetic Dipoles
• Studying quantum spin systems through entanglement estimators
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• Criticality in correlated quantum matter
• Divergence of the entanglement range in low dimensional quantum systems
• Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions
• Entanglement and dephasing of quantum dissipative systems

Cited by in corpus (29)

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• Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
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• Multipartite Entanglement at Finite Temperature
• Criticality, factorization and long-range correlations in the anisotropic XY-model
• Entanglement entropy and mutual information across the Mott transition in the two-dimensional Hubbard model
• Thermal entanglement of one-dimensional Heisenberg quantum spin chains in magnetic fields
• Quantum discord in the ground state of spin chains
• Induced effects of the Dzyaloshinskii-Moriya interaction on the thermal entanglement in spin-1/2 Heisenberg chains
• Probabilistic quantum teleportation via thermal entanglement
• Characterization of an operational quantum resource in a critical many-body system
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
• Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY model
• Entanglement and magnetic order
• Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model
• Entangled States and Super-radiant Phase Transition
• Extracting signatures of quantum criticality in the finite-temperature behavior of many-body systems
• Finite-Temperature Scaling of Magnetic Susceptibility and Geometric Phase in the XY Spin Chain
• The entanglement of the XY spin chain in a random magnetic field
• Quantum Geometric Tensor and Critical Metrology in the Anisotropic Dicke Model
• Coherent states and the classical-quantum limit considered from the point of view of entanglement
• Entanglement transitions in the quantum Ising chain: A comparison between different unravelings of the same Lindbladian
• Response of macroscopic and microscopic dynamical quantifiers to the quantum critical region
• Entanglement distribution in fermion model with long-range interaction
• One-way deficit and quantum phase transitions in $XX$ Model
• Variational quantum simulation of the quantum critical regime