Detecting topological transitions in two dimensions by Hamiltonian evolution
| Autor: | David L. Feder, Sandeep K. Goyal, Wei-Wei Zhang, Simon Apers, Barry C. Sanders |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Quantum phase transition
Physics Band gap FOS: Physical sciences General Physics and Astronomy Topology 01 natural sciences 010305 fluids & plasmas symbols.namesake Quantum Gases (cond-mat.quant-gas) Ultracold atom Lattice (order) 0103 physical sciences symbols 010306 general physics Hamiltonian (quantum mechanics) Photonic lattices Condensed Matter - Quantum Gases Topological quantum number Mean width |
| Popis: | We show that the evolution of two-component particles governed by a two-dimensional spin-orbit lattice Hamiltonian can reveal transitions between topological phases. A kink in the mean width of the particle distribution signals the closing of the band gap, a prerequisite for a quantum phase transition between topological phases. Furthermore, for realistic and experimentally motivated Hamiltonians the density profile in topologically non-trivial phases displays characteristic rings in the vicinity of the origin that are absent in trivial phases. The results are expected to have immediate application to systems of ultracold atoms and photonic lattices. Ref. [12] fixed; updates in response to referee comments |
| Databáze: | OpenAIRE |
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