Exact Analysis of the Response of Quantum Systems to Two Photons Using a QSDE Approach

Abstract

We introduce the quantum stochastic differential equation (QSDE) approach to exactly analyze of the response of quantum systems to a continuous-mode two-photon input. The QSDE description of the two-photon process allows us to integrate the input-output analysis with the quantum network theory, and so the analytical computability of the output state of a general quantum system can be addressed within this framework. We show that the time-domain two-photon output states can be exactly calculated for a large class of quantum systems including passive linear networks, optomechanical oscillators and two-level emitter in waveguide systems. In particular, we propose to utilize the results for the exact simulation of the stimulated emission as well as the study of the scattering of two-mode photon wave packets.

arXiv comment20 pages, 6 figures

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Cited by in corpus (14)

• The SLH framework for modeling quantum input-output networks
• Scattering into one-dimensional waveguides from a coherently-driven quantum-optical system
• Few-photon scattering and emission from open quantum systems
• Photon-Photon Interactions in Dynamically Coupled Cavities
• Chiral Interaction Induced Near-Perfect Photon Blockade
• On the Dynamics of the Tavis-Cummings Model
• Particle emission from open-quantum systems
• Exact calculation of stimulated emission driven by pulsed light
• Analytical approach to higher-order correlation functions in U(1) symmetric systems
• Jaynes-Cummings interaction with a traveling light pulse
• Detecting two photons with one molecule
• Photon counting probabilities of the output field for a single-photon input
• On the dynamics of two photons interacting with a two-qubit coherent feedback network}
• Stochastic approach to evolution of a quantum system interacting with a wave packet in squeezed number state