### Abstract

(formula presented)-symmetric dimers with a time-periodic gain/loss function in a balanced configuration where the amount of gain equals that of loss are investigated analytically and numerically. Two prototypical dimers in the linear regime are investigated: a system of coupled classical oscillators, and a Schrödinger dimer representing the coupling of field amplitudes, each system representing a wide class of physical models. Through a thorough analysis of their stability behavior, we find that turning on the coupling parameter in the classical dimer system leads initially to decreased stability but then to re-entrant transitions from the exact to the broken (formula presented)-phase and vice versa, as it is increased beyond a critical value. On the other hand, the Schrödinger dimer behaves more like a single oscillator with time-periodic gain/loss. In addition, we are able to identify the conditions under which the behavior of the two dimer systems coincides and/or reduces to that of a single oscillator.

Original language | English |
---|---|

Pages (from-to) | 663-672 |

Number of pages | 10 |

Journal | Applied Physics A: Materials Science and Processing |

Volume | 117 |

Issue number | 2 |

DOIs | |

Publication status | Published - Oct 9 2014 |

### ASJC Scopus subject areas

- Chemistry(all)
- Materials Science(all)

## Fingerprint Dive into the research topics of '(formula presented)-symmetric dimers with time-periodic gain/loss function'. Together they form a unique fingerprint.

## Cite this

*Applied Physics A: Materials Science and Processing*,

*117*(2), 663-672. https://doi.org/10.1007/s00339-014-8720-9