TY - JOUR
T1 - Nonlinearly induced PT transition in photonic systems
AU - Lumer, Yaakov
AU - Plotnik, Yonatan
AU - Rechtsman, Mikael C.
AU - Segev, Mordechai
PY - 2013/12/27
Y1 - 2013/12/27
N2 - We study the effect of nonlinearity on systems with periodic parity-time (PT) symmetry, and show that nonlinearity can transform the system from broken to full PT symmetry and vice versa. Furthermore, we show that even when the nonlinearity is insufficient to induce a transition from broken to full PT symmetry, still, the wave functions neither decay nor diverge, despite the fact that the system has a complex eigenvalue spectrum. Rather, the amplitudes of the wavefunctions oscillate around the transition point. Our results apply to a wide variety of systems in optics and beyond.
AB - We study the effect of nonlinearity on systems with periodic parity-time (PT) symmetry, and show that nonlinearity can transform the system from broken to full PT symmetry and vice versa. Furthermore, we show that even when the nonlinearity is insufficient to induce a transition from broken to full PT symmetry, still, the wave functions neither decay nor diverge, despite the fact that the system has a complex eigenvalue spectrum. Rather, the amplitudes of the wavefunctions oscillate around the transition point. Our results apply to a wide variety of systems in optics and beyond.
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U2 - 10.1103/PhysRevLett.111.263901
DO - 10.1103/PhysRevLett.111.263901
M3 - Article
C2 - 24483795
AN - SCOPUS:84891685537
SN - 0031-9007
VL - 111
JO - Physical review letters
JF - Physical review letters
IS - 26
M1 - 263901
ER -