Bulk detection of time-dependent topological transitions in quenched chiral models
Alessio D’Errico, Francesco Di Colandrea, Raouf Barboza, Alexandre Dauphin, Maciej Lewenstein, Pietro Massignan, Lorenzo Marrucci, Filippo Cardano
Abstract
This paper shows that the winding number can be extracted by measuring the mean chiral displacement of a single particle, whenever the initial wave function is connectable to a localized one via a unitary and translation invariant map. This implies that the mean chiral displacement detects the winding number even when the Hamiltonian is quenched between different topological phases.
Topics & Concepts
Winding numberHamiltonian (control theory)Unitary stateInvariant (physics)PhysicsTranslation (biology)Displacement (psychology)Topology (electrical circuits)MathematicsMathematical physicsMathematical analysisCombinatoricsChemistryPsychotherapistPsychologyBiochemistryLawMathematical optimizationMessenger RNAGenePolitical scienceTopological Materials and PhenomenaQuantum many-body systemsTheoretical and Computational Physics