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Measuring topological order [PDF]
Physical Review Research, 2021 The topological order of a (2+1)D topological phase of matter is characterized by its chiral central charge and a unitary modular tensor category that describes the universal fusion and braiding properties of its anyonic quasiparticles.
Parsa Bonderson
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Higher-Order Topological Insulators [PDF]
Science Advances, 2018 Three-dimensional topological (crystalline) insulators are materials with an insulating bulk, but conducting surface states which are topologically protected by time-reversal (or spatial) symmetries.
Bernevig, B. Andrei +6 more
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Boundary Degeneracy of Topological Order [PDF]
Physical Review B, 2015 We introduce the concept of boundary degeneracy of topologically ordered states on a compact orientable spatial manifold with boundaries, and emphasize that the boundary degeneracy provides richer information than the bulk degeneracy.
Wang, Juven, Wen, Xiao-Gang
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Topological Order and Reflection Positivity [PDF]
EPL (Europhysics Letters), 2013 The interplay between the two fundamental concepts of topological order and reflection positivity allows one to characterize the ground states of certain many-body Hamiltonians.
Jaffe, Arthur, Pedrocchi, Fabio L.
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Diagnosing Deconfinement and Topological Order [PDF]
New Journal of Physics, 2010 Topological or deconfined phases are characterized by emergent, weakly fluctuating, gauge fields. In condensed matter settings they inevitably come coupled to excitations that carry the corresponding gauge charges which invalidate the standard diagnostic
Gregor, K. +3 more
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Intrinsic Mixed-State Topological Order
PRX QuantumDecoherence is a major obstacle to the preparation of topological order in noisy intermediate-scale quantum devices. Here, we show that decoherence can also give rise to new types of topological order.
Zijian Wang, Zhengzhi Wu, Zhong Wang
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Anomalous Symmetry Fractionalization and Surface Topological Order [PDF]
Physical Review X, 2015 In addition to possessing fractional statistics, anyon excitations of a 2D topologically ordered state can realize symmetry in distinct ways, leading to a variety of symmetry-enriched topological (SET) phases. While the symmetry fractionalization must be
Xie Chen +3 more
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Online topological ordering [PDF]
ACM Transactions on Algorithms, 2006 It is shown that the problem of maintaining the topological order of the nodes of a directed acyclic graph while inserting m edges can be solved in O (min{ m 3/2 log n , m 3/2 + n
Irit Katriel, Hans L. Bodlaender
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Variable-order topological insulators
Communications Physics, 2023 Topological insulators, either the first-order or the higher-order, experience generally a transition to a trivial phase or a topological one of the same order through the gap closing and reopening procedure.
Yating Yang +5 more
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Fidelity Mechanics: Analogues of the Four Thermodynamic Laws and Landauer’s Principle
Entropy, 2022 Fidelity mechanics is formalized as a framework for investigating critical phenomena in quantum many-body systems. Fidelity temperature is introduced for quantifying quantum fluctuations, which, together with fidelity entropy and fidelity internal energy,
Huan-Qiang Zhou +2 more
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