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Stabilizing non-Hermitian systems by periodic driving.
- Source :
-
Physical Review A: Atomic, Molecular & Optical Physics . Apr2015, Vol. 91 Issue 4-A, p1-6. 6p. - Publication Year :
- 2015
-
Abstract
- The time evolution of a system with a time-dependent non-Hermitian Hamiltonian is in general unstable with exponential growth or decay. A periodic driving field may stabilize the dynamics because the eigenphases of the associated Floquet operator may become all real. This possibility can emerge for a continuous range of system parameters with subtle domain boundaries. It is further shown that the issue of stability of a driven non-Hermitian Rabi model can be mapped onto the band structure problem of a class of lattice Hamiltonians. As a straightforward application, we show how to use the stability of driven non-Hermitian two-level systems (0 dimension in space) to simulate a spectrum analogous to Hofstadter's butterfly that has played a paradigmatic role in quantum Hall physics. The simulation of the band structure of non-Hermitian superlattice potentials with parity-time reversal symmetry is also briefly discussed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10502947
- Volume :
- 91
- Issue :
- 4-A
- Database :
- Academic Search Index
- Journal :
- Physical Review A: Atomic, Molecular & Optical Physics
- Publication Type :
- Periodical
- Accession number :
- 102774991
- Full Text :
- https://doi.org/10.1103/PhysRevA.91.042135