Fidelity analysis of topological quantum phase transitions

DOI10.1103/PhysRevA.78.010301zbMath1255.82032arXiv0803.2243MaRDI QIDQ4903105

Damian F. Abasto, Alioscia Hamma, Paolo Zanardi

Publication date: 19 January 2013

Published in: Physical Review A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2243

zbMATH Keywords

topologically ordered phases

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (11)

Fidelity in topological quantum phases of matter ⋮ Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain ⋮ Geometry of quantum phase transitions ⋮ Vanishing \(k\)-space fidelity and phase diagram's bulk-edge-bulk correspondence ⋮ Classification of quantum phases and topology of logical operators in an exactly solved model of quantum codes ⋮ QUANTUM DISCORD IN A SPIN SYSTEM WITH SYMMETRY BREAKING ⋮ Boltzmann–Gibbs states in topological quantum walks and associated many-body systems: fidelity and Uhlmann parallel transport analysis of phase transitions ⋮ Boundary fidelity and entanglement in the symmetry protected topological phase of the SSH model ⋮ FIDELITY AND ENTANGLEMENT CLOSE TO QUANTUM PHASE TRANSITION IN A TWO-LEG XXZ SPIN LADDER ⋮ Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks ⋮ Towards a geometrization of quantum complexity and chaos

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• Topological order and conformal quantum critical points
• Fault-tolerant quantum computation by anyons
• From quantum mechanics to classical statistical physics: generalized Rokhsar-Kivelson Hamiltonians and the ``stochastic matrix form decomposition
• Quantum Phase Transitions
• Information-Theoretic Differential Geometry of Quantum Phase Transitions

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