Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE Office of Energy Efficiency and Renewable Energy (EERE), Transportation Office. Fuel Cell Technologies Office
- OSTI Identifier:
- 1488886
- Grant/Contract Number:
- PD/BD/113651/2015; SFRH/BD/52244/2013; PD/BD/52652/2014; UID/CTM/04540/2013; PEst-OE/EEI/LA0008/2013; UID/EEA/50008/2013; PTDC/EEI-CTP/4503/2014
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Name: Physical Review B Journal Volume: 98 Journal Issue: 24; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Amin, Syed Tahir, Mera, Bruno, Vlachou, Chrysoula, Paunković, Nikola, and Vieira, Vítor R. Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions. United States: N. p., 2018.
Web. doi:10.1103/PhysRevB.98.245141.
Amin, Syed Tahir, Mera, Bruno, Vlachou, Chrysoula, Paunković, Nikola, & Vieira, Vítor R. Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions. United States. https://doi.org/10.1103/PhysRevB.98.245141
Amin, Syed Tahir, Mera, Bruno, Vlachou, Chrysoula, Paunković, Nikola, and Vieira, Vítor R. Wed .
"Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions". United States. https://doi.org/10.1103/PhysRevB.98.245141.
@article{osti_1488886,
title = {Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions},
author = {Amin, Syed Tahir and Mera, Bruno and Vlachou, Chrysoula and Paunković, Nikola and Vieira, Vítor R.},
abstractNote = {},
doi = {10.1103/PhysRevB.98.245141},
journal = {Physical Review B},
number = 24,
volume = 98,
place = {United States},
year = {Wed Dec 26 00:00:00 EST 2018},
month = {Wed Dec 26 00:00:00 EST 2018}
}
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https://doi.org/10.1103/PhysRevB.98.245141
https://doi.org/10.1103/PhysRevB.98.245141
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Cited by: 16 works
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Works referenced in this record:
Macroscopic distinguishability between quantum states defining different phases of matter: Fidelity and the Uhlmann geometric phase
journal, January 2008
- Paunković, Nikola; Rocha Vieira, Vitor
- Physical Review E, Vol. 77, Issue 1
Quantum criticality as a resource for quantum estimation
journal, October 2008
- Zanardi, Paolo; Paris, Matteo G. A.; Campos Venuti, Lorenzo
- Physical Review A, Vol. 78, Issue 4
Decay of Loschmidt Echo Enhanced by Quantum Criticality
journal, April 2006
- Quan, H. T.; Song, Z.; Liu, X. F.
- Physical Review Letters, Vol. 96, Issue 14
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982
- Thouless, D. J.; Kohmoto, M.; Nightingale, M. P.
- Physical Review Letters, Vol. 49, Issue 6
A note on the transition probability over C*-algebras
journal, January 1983
- Alberti, Peter M.
- Letters in Mathematical Physics, Vol. 7, Issue 1
Density-matrix Chern insulators: Finite-temperature generalization of topological insulators
journal, October 2013
- Rivas, A.; Viyuela, O.; Martin-Delgado, M. A.
- Physical Review B, Vol. 88, Issue 15
Non-Abelian Statistics of Half-Quantum Vortices in -Wave Superconductors
journal, January 2001
- Ivanov, D. A.
- Physical Review Letters, Vol. 86, Issue 2
Fidelity spectrum and phase transitions of quantum systems
journal, December 2011
- Sacramento, P. D.; Paunković, N.; Vieira, V. R.
- Physical Review A, Vol. 84, Issue 6
Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
journal, July 2002
- Ryu, Shinsei; Hatsugai, Yasuhiro
- Physical Review Letters, Vol. 89, Issue 7
Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics
journal, March 2018
- Mera, Bruno; Vlachou, Chrysoula; Paunković, Nikola
- Physical Review B, Vol. 97, Issue 9
Geometrical engineering of a two-band Chern insulator in two dimensions with arbitrary topological index
journal, April 2012
- Sticlet, Doru; Piéchon, Frederic; Fuchs, Jean-Noël
- Physical Review B, Vol. 85, Issue 16
Fidelity between partial states as a signature of quantum phase transitions
journal, May 2008
- Paunković, N.; Sacramento, P. D.; Nogueira, P.
- Physical Review A, Vol. 77, Issue 5
Entanglement modes and topological phase transitions in superconductors
journal, March 2014
- Oliveira, T. P.; Sacramento, P. D.
- Physical Review B, Vol. 89, Issue 9
Quantal Phase Factors Accompanying Adiabatic Changes
journal, March 1984
- Berry, M. V.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802
Symmetric Logarithmic Derivative of Fermionic Gaussian States
journal, June 2018
- Carollo, Angelo; Spagnolo, Bernardo; Valenti, Davide
- Entropy, Vol. 20, Issue 7
Topological Insulator Materials
journal, October 2013
- Ando, Yoichi
- Journal of the Physical Society of Japan, Vol. 82, Issue 10, Article No. 102001
Observation of topological Uhlmann phases with superconducting qubits
journal, February 2018
- Viyuela, O.; Rivas, A.; Gasparinetti, S.
- npj Quantum Information, Vol. 4, Issue 1
Entanglement in Quantum Critical Phenomena
journal, June 2003
- Vidal, G.; Latorre, J. I.; Rico, E.
- Physical Review Letters, Vol. 90, Issue 22
Boltzmann–Gibbs states in topological quantum walks and associated many-body systems: fidelity and Uhlmann parallel transport analysis of phase transitions
journal, August 2017
- Mera, Bruno; Vlachou, Chrysoula; Paunković, Nikola
- Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 36
Non-Abelian anyons and topological quantum computation
journal, September 2008
- Nayak, Chetan; Simon, Steven H.; Stern, Ady
- Reviews of Modern Physics, Vol. 80, Issue 3
Fermion zero modes on vortices in chiral superconductors
journal, November 1999
- Volovik, G. E.
- Journal of Experimental and Theoretical Physics Letters, Vol. 70, Issue 9
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect
journal, April 2000
- Read, N.; Green, Dmitry
- Physical Review B, Vol. 61, Issue 15
Fault-tolerant quantum computation by anyons
journal, January 2003
- Kitaev, A. Yu.
- Annals of Physics, Vol. 303, Issue 1
Information-Theoretic Differential Geometry of Quantum Phase Transitions
journal, September 2007
- Zanardi, Paolo; Giorda, Paolo; Cozzini, Marco
- Physical Review Letters, Vol. 99, Issue 10
Revealing Tensor Monopoles through Quantum-Metric Measurements
journal, October 2018
- Palumbo, Giandomenico; Goldman, Nathan
- Physical Review Letters, Vol. 121, Issue 17
Topological Insulators and Topological Superconductors
book, January 2013
- Bernevig, B. Andrei
- Princeton University Press
Ground state overlap and quantum phase transitions
journal, September 2006
- Zanardi, Paolo; Paunković, Nikola
- Physical Review E, Vol. 74, Issue 3
The “transition probability” in the state space of a ∗-algebra
journal, April 1976
- Uhlmann, A.
- Reports on Mathematical Physics, Vol. 9, Issue 2
Quantum memories at finite temperature
journal, November 2016
- Brown, Benjamin J.; Loss, Daniel; Pachos, Jiannis K.
- Reviews of Modern Physics, Vol. 88, Issue 4
Scaling of entanglement close to a quantum phase transition
journal, April 2002
- Osterloh, A.; Amico, Luigi; Falci, G.
- Nature, Vol. 416, Issue 6881
Uhlmann Connection in Fermionic Systems Undergoing Phase Transitions
journal, July 2017
- Mera, Bruno; Vlachou, Chrysoula; Paunković, Nikola
- Physical Review Letters, Vol. 119, Issue 1
Local entanglement and quantum phase transition in a one-dimensional transverse field Ising model
journal, September 2006
- Su, Shi-Quan; Song, Jun-Liang; Gu, Shi-Jian
- Physical Review A, Vol. 74, Issue 3
Quantum Critical Scaling of the Geometric Tensors
journal, August 2007
- Campos Venuti, Lorenzo; Zanardi, Paolo
- Physical Review Letters, Vol. 99, Issue 9
Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
journal, August 2014
- Viyuela, O.; Rivas, A.; Martin-Delgado, M. A.
- Physical Review Letters, Vol. 113, Issue 7