Abstract

We consider a generalization of the non-Hermitian PT symmetric Jaynes-Cummings Hamiltonian, recently introduced for studying optical phenomena with time-dependent physical parameters, that includes environment-induced decay. In particular, we investigate the interaction of a two-level fermionic system (such as a two-level atom) with a single bosonic field mode in a cavity. The states of the two-level system are allowed to decay because of the interaction with the environment, and this is included phenomenologically in our non-Hermitian Hamiltonian by introducing complex energies for the fermion system. We focus our attention on the occurrence of exceptional points in the spectrum of the Hamiltonian, clarifying its mathematical and physical meaning.
Lingua originaleEnglish
Titolo della pubblicazione ospiteSpringer Proceedings in Physics
Pagine83-95
Numero di pagine13
Stato di pubblicazionePublished - 2016

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decay
fermions
interactions
occurrences
cavities
atoms
energy

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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title = "Exceptional points in a non-Hermitian extension of the Jaynes-Cummings Hamiltonian",
abstract = "We consider a generalization of the non-Hermitian PT symmetric Jaynes-Cummings Hamiltonian, recently introduced for studying optical phenomena with time-dependent physical parameters, that includes environment-induced decay. In particular, we investigate the interaction of a two-level fermionic system (such as a two-level atom) with a single bosonic field mode in a cavity. The states of the two-level system are allowed to decay because of the interaction with the environment, and this is included phenomenologically in our non-Hermitian Hamiltonian by introducing complex energies for the fermion system. We focus our attention on the occurrence of exceptional points in the spectrum of the Hamiltonian, clarifying its mathematical and physical meaning.",
author = "Fabio Bagarello and Margherita Lattuca and Salvatore Spagnolo and Roberto Passante and Francesco Gargano and Lucia Rizzuto",
year = "2016",
language = "English",
pages = "83--95",
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T1 - Exceptional points in a non-Hermitian extension of the Jaynes-Cummings Hamiltonian

AU - Bagarello, Fabio

AU - Lattuca, Margherita

AU - Spagnolo, Salvatore

AU - Passante, Roberto

AU - Gargano, Francesco

AU - Rizzuto, Lucia

PY - 2016

Y1 - 2016

N2 - We consider a generalization of the non-Hermitian PT symmetric Jaynes-Cummings Hamiltonian, recently introduced for studying optical phenomena with time-dependent physical parameters, that includes environment-induced decay. In particular, we investigate the interaction of a two-level fermionic system (such as a two-level atom) with a single bosonic field mode in a cavity. The states of the two-level system are allowed to decay because of the interaction with the environment, and this is included phenomenologically in our non-Hermitian Hamiltonian by introducing complex energies for the fermion system. We focus our attention on the occurrence of exceptional points in the spectrum of the Hamiltonian, clarifying its mathematical and physical meaning.

AB - We consider a generalization of the non-Hermitian PT symmetric Jaynes-Cummings Hamiltonian, recently introduced for studying optical phenomena with time-dependent physical parameters, that includes environment-induced decay. In particular, we investigate the interaction of a two-level fermionic system (such as a two-level atom) with a single bosonic field mode in a cavity. The states of the two-level system are allowed to decay because of the interaction with the environment, and this is included phenomenologically in our non-Hermitian Hamiltonian by introducing complex energies for the fermion system. We focus our attention on the occurrence of exceptional points in the spectrum of the Hamiltonian, clarifying its mathematical and physical meaning.

UR - http://hdl.handle.net/10447/207896

UR - http://www.springer.com/series/361

M3 - Chapter

SP - 83

EP - 95

BT - Springer Proceedings in Physics

ER -