Two-photon Jaynes-Cummings model as a single-photon source

• Grant number: 23/09215-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2023
• End date: September 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Daniel Zini Rossatto
• Grantee: Bruno de Lima Vernes
• Host Institution: Instituto de Ciência e Engenharia. Universidade Estadual Paulista (UNESP). Campus Experimental de Itapeva. Itapeva , SP, Brazil

Abstract

Quantum emitters typically emit photons one at a time, a phenomenon known as photon antibunching. This effect can arise through various mechanisms and ensures that the probability of obtaining two or more photons simultaneously is negligible. The generation of single photons is widely utilized in quantum technologies, particularly in quantum information processing. The properties of a single-photon source are significantly enhanced when coupled to a resonant cavity mode, increasing the spontaneous emission rate of the quantum emitter through the Purcell effect, resulting in a higher photon production rate. Additionally, the cavity channels the emitted photons into a well-defined spatial mode, improving the efficiency of photon collection and restricting the spectral range of emission. In this research project, we will investigate a photon source based on a quantum filter implemented by a system consisting of a two-level atom coupled to a single mode of a resonant cavity via the two-photon Jaynes-Cummings interaction. This type of interaction leverages the phenomenon of two-photon blockade, causing the cavity to absorb and subsequently emit one photon at a time. This is achieved because the presence of the atom truncates the Fock space accessible to the intracavity field mode (when a coherent field is incident on the cavity, the system allows only the single-photon component to pass). To analyze the characteristics of the cavity transmitted field, we will employ the second-order correlation function, investigating its behavior for various parameter regimes involving atom-field coupling, the intensity of the pumping field on the cavity, system dissipation rates, and atom-field detuning. We will utilize the formalisms of the master equation and input-output theory, along with Python programming, particularly for simulating the dynamics of open quantum systems.