Two-photon laser dynamics

Abstract

Degenerate as well as nondegenerate three-level two-photon laser (TPL) models are derived. In the limit of equal cavity losses for both fields, it is shown that the nondegenerate model reduces to the degenerate one. We also demonstrate the isomorphism existing between our degenerate TPL model and that of a dressed-state TPL.All these models contain ac-Stark and population-induced shifts at difference from effective Hamiltonian models. The influence of the parameters that control these shifts on the nonlinear dynamics of a TPL is investigated. In particular, the stability of the periodic orbits that arise at the Hopf bifurcation of the system and the extension of the self-pulsing domains of the system are studied, revealing the role played by the detuning and ac-Stark parameters.PACS number(s): 42.50.Ne, 42.60.Mi, 47.20.Ky

A scheme for two-photon lasing with two coupled flux qubits in circuit quantum electrodynamics

“…Two-photon laser, which is on the basis of the stimulated emission processes of photon pairs, has drawn continued attention since the original concept in the 1960s [1][2][3][4][5] and has found significant applications in quantum information [6,7] and quantum telecommunication. [8] Experimentally, twophoton laser has been realized in the atomic system.…”

Two-photon lasing by a single quantum dot in a high-Qmicrocavity

“…Degenerate two-photon lasing, i.e., emission of two photons into the same mode of the electromagnetic field, has been reported in atomic systems in two exemplary experiments, in the microwave range of the spectrum 4 and later in the optical range, by pumping the dressed levels of potassium atoms [5][6][7][8] . There is an extensive literature on degenerate two-photon lasing in atoms, some relevant references can be found in [9][10][11][12][13][14][15][16] . Further theoretical works discuss the perspectives of realizing two-photon lasing in semiconductor devices, such as in Refs.…”

Semiclassical stability analysis of a two-photon laser including spatial variation of the cavity field

“…This approach neglects residual effects of any largely detuned one-photon transitions between the lasing levels and other atomic levels [19]. A more precise approach consists in assuming an exact or microscopic interaction Hamiltonian that describes the interaction of the electromagnetic field with a three-level cascade atomic scheme [20,21]. When the intermediate atomic level is far from one-photon resonance the one-photon coherence can be adiabatically eliminated and the resulting two-photon laser equations are similar to the present equations but include three additional detuning terms describing frequency shifts.…”