Quantum correlations in topological quantum phase transitions
arXiv:0912.3874 · doi:10.1103/PhysRevA.81.032120
Abstract
We study the quantum correlations in a 2D system that possesses a topological quantum phase transition. The quantumness of two-body correlations is measured by quantum discord. We calculate both the correlation of two local spins and that of an arbitrary spin with the rest of the lattice. It is notable that local spins are classically correlated, while the quantum correlation is hidden in the global lattice. This is different from other systems which are not topologically orderd. Moreover, the mutual information and global quantum discord show critical behavior in the topological quantum phase transition.
6 pages, 3 figures
References in corpus (11)
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum discord and the power of one qubit
- Experimental quantum computing without entanglement
- Classical and quantum correlations under decoherence
- Quantum discord and quantum phase transition in spin chains
- Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
- A quantum topological phase transition at the microscopic level
- Adiabatic Preparation of Topological Order
- Entanglement, fidelity and topological entropy in a quantum phase transition to topological order
- Fidelity analysis of topological quantum phase transitions
- Reduced fidelity in topological quantum phase transitions
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- The classical-quantum boundary for correlations: discord and related measures
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- Global Quantum Discord in Multipartite Systems
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- Genuine quantum correlations in quantum many-body systems: a review of recent progress
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- Quantum Mutual Information as a Probe for Many-Body Localization
- Coherence susceptibility as a probe of quantum phase transitions
- Tight lower bound to the geometric measure of quantum discord
- Steered quantum coherence as a signature of quantum phase transitions in spin chains
- Experimental investigation of the non-Markovian dynamics of classical and quantum correlations
- Long-range quantum discord in critical spin systems
- Factorization and Criticality in the Anisotropic XY Chain via Correlations
- Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction
- Quantum discord and classical correlations in the bond-charge Hubbard model: quantum phase transitions, ODLRO and violation of the monogamy property for discord
- Quantum variance: a measure of quantum coherence and quantum correlations for many-body systems
- Quantum correlations in the collective spin systems
- Quantum discord in the ground state of spin chains
- Exact dynamics of quantum correlations of two qubits coupled to bosonic baths
- General monogamy property of global quantum discord and the application
- Magnetic quantum correlation in the 1D transverse-field XXZ model
- Quantum correlations in a cluster-like system
- Dynamical quantum correlations after sudden quenches
- Engineering topological phases of any winding and Chern numbers in extended Su-Schrieffer-Heeger models
- Quantum correlation measure in arbitrary bipartite systems
- Classicality witness for two-qubit states
- Comparison of different measures for quantum discord under non-Markovian noise
- Ising order parameter and topological phase transitions: Toric code in a uniform magnetic field
- Quantum Discord Surge Heralds Entanglement Revival in an Infinite Spin Chain
- Global entanglement in a topological quantum phase transition
- Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain
- Quantum correlation in three-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction
- Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties
- Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
- Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
- Bell-CHSH function approach to quantum phase transitions in matrix product systems
- Predicting topological quantum phase transition from dynamics via multisite entanglement
- Geometric measure of quantum discord and total quantum correlations in a N-partite quantum state
- Cumulative quantum work-deficit versus entanglement in the dynamics of an infinite spin chain
- Exact scaling of geometric phase and fidelity susceptibility and their breakdown across the critical points
- Classical criticality establishes quantum topological order
- Dynamics and Quantum correlations in Two independently driven Rydberg atoms with distinct laser fields
- Non-classicalities via perturbing local unitary operations
- Conditional global entanglement in a Kosterlitz-Thouless quantum phase transition
- Kosterlitz-Thouless phase and topological quantum phase
- Multipartite distribution property of one way discord beyond measurement
- Critical exponents of block-block mutual information in one-dimensional infinite lattice systems
- Quantum Coherence Bounds the Distributed Discords
- Topological phases and entanglement in real space for 1D SSH topological insulator: effects of first and second neighbor-hoppings