Rights statement: © 2016 American Physical Society
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Rights statement: © 2016 American Physical Society
Final published version, 606 KB, PDF document
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Universal sign control of coupling in tight-binding lattices
AU - Keil, Robert
AU - Poli, Charles Joseph
AU - Heinrich, Matthias
AU - Arkinstall, Jake
AU - Weihs, Gregor
AU - Schomerus, Henning
AU - Szameit, Alexander
N1 - © 2016 American Physical Society
PY - 2016/5/27
Y1 - 2016/5/27
N2 - We present a method of locally inverting the sign of the coupling term in tight-binding systems, by means of inserting a judiciously designed ancillary site and eigenmode matching of the resulting vertex triplet. Our technique can be universally applied to all lattice configurations, as long as the individual sites can be detuned. We experimentally verify this method in laser-written photonic lattices and confirm both the magnitude and the sign of the coupling by interferometric measurements. Based on these findings, we demonstrate how such universal sign-flipped coupling links can be embedded into extended lattice structures to impose a Z2-gauge transformation. This opens a new avenue for investigations on topological effects arising from magnetic fields with aperiodic flux patterns or in disordered systems.
AB - We present a method of locally inverting the sign of the coupling term in tight-binding systems, by means of inserting a judiciously designed ancillary site and eigenmode matching of the resulting vertex triplet. Our technique can be universally applied to all lattice configurations, as long as the individual sites can be detuned. We experimentally verify this method in laser-written photonic lattices and confirm both the magnitude and the sign of the coupling by interferometric measurements. Based on these findings, we demonstrate how such universal sign-flipped coupling links can be embedded into extended lattice structures to impose a Z2-gauge transformation. This opens a new avenue for investigations on topological effects arising from magnetic fields with aperiodic flux patterns or in disordered systems.
U2 - 10.1103/PhysRevLett.116.213901
DO - 10.1103/PhysRevLett.116.213901
M3 - Journal article
VL - 116
JO - Physical review letters
JF - Physical review letters
SN - 1079-7114
IS - 21
M1 - 213901
ER -