Photon-Photon Interactions in Dynamically Coupled Cavities

Abstract

We study theoretically the interaction between two photons in a nonlinear cavity. The photons are loaded into the cavity via a method we propose here, in which the input/output coupling of the cavity is effectively controlled via a tunable coupling to a second cavity mode that is itself strongly output-coupled. Incoming photon wave packets can be loaded into the cavity with high fidelity when the timescale of the control is smaller than the duration of the wave packets. Dynamically coupled cavities can be used to avoid limitations in the photon-photon interaction time set by the delay-bandwidth product of passive cavities. Additionally, they enable the elimination of wave packet distortions caused by dispersive cavity transmission and reflection. We consider three kinds of nonlinearities, those arising from ${\chi }^{(2)}$ and ${\chi }^{(3)}$ materials and that due to an interaction with a two-level emitter. To analyze the input and output of few-photon wave packets we use a Schrödinger-picture formalism in which travelling-wave fields are discretized into infinitesimal time-bins. We suggest that dynamically coupled cavities provide a very useful tool for improving the performance of quantum devices relying on cavity-enhanced light-matter interactions such as single-photon sources and atom-like quantum memories with photon interfaces. As an example, we present simulation results showing that high fidelity two-qubit entangling gates may be constructed using any of the considered nonlinear interactions.

References in corpus (31)

• The Quantum Internet
• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Electric Field-Induced Second Order Nonlinear Optical Effects in Silicon Waveguides
• Input-Output Formalism For Few-Photon Transport in One-Dimensional Nanophotonic Waveguides Coupled to a Qubit
• Efficient and low-noise single-photon-level frequency conversion interfaces using silicon nanophotonics
• Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
• Electronically Programmable Photonic Molecule
• Non-reciprocal nonlinear optic induced transparency and frequency conversion on a chip
• Few-photon transport in low-dimensional systems: Interaction-induced radiation trapping
• Quantum dynamics of propagating photons with strong interactions: a generalized input-output formalism
• Two-Photon Transport in a Waveguide Coupled to a Cavity with a Two-level System
• Lehmann-Symanzik-Zimmermann Reduction Approach to Multi-Photon Scattering in Coupled-Resonator Arrays
• N-Photon wave packets interacting with an arbitrary quantum system
• Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
• Qubit models of weak continuous measurements
• Collision models in quantum optics
• Nonlinear interaction of two photons at a one-dimensional atom: spatiotemporal quantum coherence in the emitted field
• Controlled-phase Gate using Dynamically Coupled Cavities and Optical Nonlinearities
• Scattering of two photons on a quantum emitter in a one-dimensional waveguide: Exact dynamics and induced correlations
• Few-photon scattering and emission from open quantum systems
• Green's Function Formalism for Waveguide QED Applications
• Unidirectional frequency conversion in microring resonators for on-chip frequency-multiplexed single-photon sources
• Optimal irreversible stimulated emission
• Quantum frequency conversion and strong coupling of photonic modes using four-wave mixing in integrated microresonators
• Exact Analysis of the Response of Quantum Systems to Two Photons Using a QSDE Approach
• Limitations of two-level emitters as non-linearities in two-photon controlled phase gates
• General structure of two-photon S matrix in waveguide quantum electrodynamics systems containing a local quantum system with multiple ground states
• Photonic temporal-mode multiplexing by quantum frequency conversion in a dichroic-finesse cavity
• Input-output theory for superconducting and photonic circuits that contain weak retro-reflections and other weak pseudo-cavities

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