Scaling of entanglement close to a quantum phase transition

  title={Scaling of entanglement close to a quantum phase transition},
  author={Andreas Osterloh and Luigi Amico and Giuseppe Falci and Rosario Fazio},
Classical phase transitions occur when a physical system reaches a state below a critical temperature characterized by macroscopic order. Quantum phase transitions occur at absolute zero; they are induced by the change of an external parameter or coupling constant, and are driven by quantum fluctuations. Examples include transitions in quantum Hall systems, localization in Si-MOSFETs (metal oxide silicon field-effect transistors; ref. 4) and the superconductor–insulator transition in two… 

Quantum correlation and quantum phase transition in the one-dimensional extended Ising model

By analyzing the divergent behaviors of quantum discord at the critical points, it is found that the quantum phase transitions driven by different parameters of the model can also display distinctive critical behaviors, which provides a scheme to detect the topological quantum phase transition in practice.

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Evidence of quantum phase transition in real-space vacuum entanglement of higher derivative scalar quantum field theories

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Continuous quantum phase transitions

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Abstract We give a general introduction to quantum phase transitions in strongly correlated electron systems. These transitions, which occur at zero temperature when a non-thermal parameter g such as

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Quantum Annealing of a Disordered Spin System

Traditional simulated annealing utilizes thermal fluctuations for convergence in optimization problems. Quantum tunneling provides a different mechanism for moving between states, with the potential

Entanglement of Formation of an Arbitrary State of Two Qubits

The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state is defined as the minimum average

Field-induced superconductor-to-insulator transitions in Josephson-junction arrays.

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Phase transitions and critical phenomena

  • D. Landau
  • Physics
    Computing in Science & Engineering
  • 1999
The examination of phase transitions and critical phenomena has dominated statistical physics for the latter half of this century--there is a great theoretical challenge in solving special

Three qubits can be entangled in two inequivalent ways

Invertible local transformations of a multipartite system are used to define equivalence classes in the set of entangled states. This classification concerns the entanglement properties of a single

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Consider a ring of N qubits in a translationally invariant quantum state. We ask to what extent each pair of nearest neighbors can be entangled. Under certain assumptions about the form of the state,