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Tunable Aharonov-Bohm cages through <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mtext>anti-</mml:mtext><mml:mi mathvariant="script">PT</mml:mi><mml:mtext>-symmetric</mml:mtext></mml:mrow></mml:math> imaginary couplings
The Aharonov-Bohm (AB) cage enables localized confinement with nondiffractive propagation for arbitrary excitation. In this study, we introduce an anti-parity-time (anti-$\mathcal{PT}$) symmetric imaginary coupling in a generalized Creutz ladder to construct a non-Hermitian AB cage with tunable flat-band energy. We investigate compact localized states and complete localization dynamics, and show …