Entanglement and Fidelity: Statics and Dynamics
Abstract
1. Introduction
2. Entanglement Signatures
2.1. Von Neumann Entropy
2.2. Mutual Information
2.3. Negativity
2.4. Concurrence
2.5. Entanglement Spectrum
2.5.1. Momentum Space Description
2.5.2. Real Space Description
3. Topological Entanglement Entropy
4. Reduced Density Matrix and Order Parameters of a Topological Insulator
4.1. Reduced Density Matrix and Order Parameters
4.2. Topological Correlators in Equilibrium
5. Fidelity
5.1. Pure State Fidelity
5.2. Fidelity Susceptibility and Scaling
5.3. Mixed State Fidelity
5.4. Uhlman’s Phase
5.5. Partial State Fidelity
5.6. Fidelity Spectrum
6. Entanglement Dynamics
6.1. Entanglement Growth
6.2. Loschmidt Echo and Loschmidt Rate
6.3. Berry Phase, Pancharatnam Phase and Dynamical Topological Order Parameter
6.4. Time Evolution of Topological Correlators
7. Summary
Funding
Acknowledgments
Conflicts of Interest
References
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Sacramento, P.D. Entanglement and Fidelity: Statics and Dynamics. Symmetry 2023, 15, 1055. https://doi.org/10.3390/sym15051055
Sacramento PD. Entanglement and Fidelity: Statics and Dynamics. Symmetry. 2023; 15(5):1055. https://doi.org/10.3390/sym15051055
Chicago/Turabian StyleSacramento, Pedro D. 2023. "Entanglement and Fidelity: Statics and Dynamics" Symmetry 15, no. 5: 1055. https://doi.org/10.3390/sym15051055
APA StyleSacramento, P. D. (2023). Entanglement and Fidelity: Statics and Dynamics. Symmetry, 15(5), 1055. https://doi.org/10.3390/sym15051055