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Title: Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions

Journal Article · · Physical Review B
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Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Transportation Office. Fuel Cell Technologies Office
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
OSTI ID:
1488886
Journal Information:
Physical Review B, Journal Name: Physical Review B Vol. 98 Journal Issue: 24; ISSN 2469-9950
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (34)

Macroscopic distinguishability between quantum states defining different phases of matter: Fidelity and the Uhlmann geometric phase journal January 2008
Quantum criticality as a resource for quantum estimation journal October 2008
Decay of Loschmidt Echo Enhanced by Quantum Criticality journal April 2006
Quantized Hall Conductance in a Two-Dimensional Periodic Potential journal August 1982
A note on the transition probability over C*-algebras journal January 1983
Density-matrix Chern insulators: Finite-temperature generalization of topological insulators journal October 2013
Non-Abelian Statistics of Half-Quantum Vortices in p -Wave Superconductors journal January 2001
Fidelity spectrum and phase transitions of quantum systems journal December 2011
Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems journal July 2002
Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics journal March 2018
Geometrical engineering of a two-band Chern insulator in two dimensions with arbitrary topological index journal April 2012
Fidelity between partial states as a signature of quantum phase transitions journal May 2008
Entanglement modes and topological phase transitions in superconductors journal March 2014
Quantal Phase Factors Accompanying Adiabatic Changes journal March 1984
Symmetric Logarithmic Derivative of Fermionic Gaussian States journal June 2018
Topological Insulator Materials journal October 2013
Observation of topological Uhlmann phases with superconducting qubits journal February 2018
Entanglement in Quantum Critical Phenomena journal June 2003
Boltzmann–Gibbs states in topological quantum walks and associated many-body systems: fidelity and Uhlmann parallel transport analysis of phase transitions journal August 2017
Non-Abelian anyons and topological quantum computation journal September 2008
Fermion zero modes on vortices in chiral superconductors journal November 1999
Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect journal April 2000
Fault-tolerant quantum computation by anyons journal January 2003
Information-Theoretic Differential Geometry of Quantum Phase Transitions journal September 2007
Revealing Tensor Monopoles through Quantum-Metric Measurements journal October 2018
Topological Insulators and Topological Superconductors book January 2013
Ground state overlap and quantum phase transitions journal September 2006
The “transition probability” in the state space of a ∗-algebra journal April 1976
Quantum memories at finite temperature journal November 2016
Scaling of entanglement close to a quantum phase transition journal April 2002
Uhlmann Connection in Fermionic Systems Undergoing Phase Transitions journal July 2017
Local entanglement and quantum phase transition in a one-dimensional transverse field Ising model journal September 2006
Quantum Critical Scaling of the Geometric Tensors journal August 2007
Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers journal August 2014

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