The appearance of topological effects in systems exhibiting a nontrivial topological band structure strongly relies on the coherent wave nature of the equations of motion. Here, we reveal topological dynamics in a classical stochastic random walk version of the Su-Schrieffer-Heeger model with no relation to coherent wave dynamics. We explain that the commonly used topological invariant in the momentum space translates into an invariant in a counting-field space. This invariant gives rise to clear signatures of the topological phase in an associated escape time distribution.The authors gratefully acknowledge financial support from the DFG Grants No. BR 1528/9-1 and No. SFB 910. This work was financially supported by the Spanish Ministry thro...
Topological phases set themselves apart from other phases since they cannot be understood in terms o...
This paper is second in the series, following Pranav et al. (2019), focused on the characterization ...
The topological features of quantum many-body wavefunctions are known to have profound consequences ...
The appearance of topological effects in systems exhibiting a nontrivial topological band structure ...
In recent experiments, time-dependent periodic fields are used to create exotic topological phases o...
© 2018 IOP Publishing Ltd. Working in the context of the Su-Schreiffer-Heeger model, the effect of t...
Topological phase transitions occur in real materials as well as quantum engineered systems, all of ...
Abstract. We demonstrate that the counting statistics of currents in periodically driven ergodic sto...
Geometric phase shift associated with an electron propagating through a dimerized disordered continu...
Random matrix models provide a phenomenological description of a vast variety of physical phenomena....
AbstractWe discuss an analogy between topological quantum field theories and the theory of Markov pr...
We study the nonequilibrium dynamics of quenching through a quantum critical point in topological sy...
Emerged as the quantum counterpart of classical random walks, quantum walks are established precious...
We study the nonequilibrium dynamics of quenching through a quantum critical point in topological sy...
We study the topological properties of one-dimensional systems undergoing unitary time evolution. We...
Topological phases set themselves apart from other phases since they cannot be understood in terms o...
This paper is second in the series, following Pranav et al. (2019), focused on the characterization ...
The topological features of quantum many-body wavefunctions are known to have profound consequences ...
The appearance of topological effects in systems exhibiting a nontrivial topological band structure ...
In recent experiments, time-dependent periodic fields are used to create exotic topological phases o...
© 2018 IOP Publishing Ltd. Working in the context of the Su-Schreiffer-Heeger model, the effect of t...
Topological phase transitions occur in real materials as well as quantum engineered systems, all of ...
Abstract. We demonstrate that the counting statistics of currents in periodically driven ergodic sto...
Geometric phase shift associated with an electron propagating through a dimerized disordered continu...
Random matrix models provide a phenomenological description of a vast variety of physical phenomena....
AbstractWe discuss an analogy between topological quantum field theories and the theory of Markov pr...
We study the nonequilibrium dynamics of quenching through a quantum critical point in topological sy...
Emerged as the quantum counterpart of classical random walks, quantum walks are established precious...
We study the nonequilibrium dynamics of quenching through a quantum critical point in topological sy...
We study the topological properties of one-dimensional systems undergoing unitary time evolution. We...
Topological phases set themselves apart from other phases since they cannot be understood in terms o...
This paper is second in the series, following Pranav et al. (2019), focused on the characterization ...
The topological features of quantum many-body wavefunctions are known to have profound consequences ...