Results 31 to 40 of about 804,935 (306)
Topological Invariants for Quantum Quench Dynamics from Unitary Evolution. [PDF]
Physical Review Letters, 2019 Recent experiments began to explore the topological properties of quench dynamics, i.e., the time evolution following a sudden change in the Hamiltonian, via tomography of quantum gases in optical lattices.
Haiping Hu, E. Zhao
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A TORSIONAL TOPOLOGICAL INVARIANT [PDF]
International Journal of Modern Physics A, 2007 Curvature and torsion are the two tensors characterizing a general Riemannian space–time. In Einstein's general theory of gravitation, with torsion postulated to vanish and the affine connection identified to the Christoffel symbol, only the curvature tensor plays the central role.
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Entanglement topological invariants for one-dimensional topological superconductors [PDF]
Physical review B, 2019 Entanglement is known to serve as an order parameter for true topological order in two-dimensional systems. We show how entanglement of disconnected partitions defines topological invariants for one-dimensional topological superconductors.
P. Fromholz +4 more
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Anisotropic magnetic responses of topological crystalline superconductors [PDF]
, 2017 Majorana Kramers pairs emerged on surfaces of time-reversal-invariant topological crystalline superconductors show the Ising anisotropy to an applied magnetic field.
Kobayashi, Shingo +4 more
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Decorated TQFTs and their Hilbert spaces
Journal of High Energy Physics, 2023 We discuss topological quantum field theories that compute topological invariants which depend on additional structures (or decorations) on three-manifolds.
Mrunmay Jagadale
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Topological invariants and phase diagrams for one-dimensional two-band non-Hermitian systems without chiral symmetry [PDF]
Physical Review A, 2018 We study topological properties of one-dimensional non-Hermitian systems without chiral symmetry and give phase diagrams characterized by topological invariants $\nu_E$ and $\nu_{total}$, associated with complex energy vorticity and summation of Berry ...
Hui Jiang, Chao Yang, Shu Chen
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Topological Insulators with Inversion Symmetry [PDF]
, 2007 Topological insulators are materials with a bulk excitation gap generated by the spin orbit interaction, and which are different from conventional insulators.
B. A. Volkov +10 more
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Detecting Topological Invariants in Nonunitary Discrete-Time Quantum Walks. [PDF]
Physical Review Letters, 2017 We report the experimental detection of bulk topological invariants in nonunitary discrete-time quantum walks with single photons. The nonunitarity of the quantum dynamics is enforced by periodically performing partial measurements on the polarization of
Xiang Zhan +7 more
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Experimental classification of quenched quantum walks by dynamical Chern number
Physical Review Research, 2019 Topology has rapidly become one of the central topics in modern physics because of its ability to explain various interesting phenomena, especially in condensed matter physics.
Xiao-Ye Xu +11 more
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Invariant topological complexity [PDF]
Bulletin of the London Mathematical Society, 2014 The topological complexity of a space \(X,\) denoted as \(\text{TC}(X)\), is defined as the smallest nonnegative integer \(k\) such that \(X\times X\) admits a cover constituted by \(k\) open subsets \(U_1,\dots,U_k\) such that for each \(i\) there is a local homotopy section \(s_i:U_i\rightarrow PX\) of the free path fibration \(\pi :PX\rightarrow X ...
Lubawski, Wojciech +1 more
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