Abstract
In this work, we present the physical simulation of the dynamical and topological properties of atom-field quantum interacting systems by means of integrated quantum photonic devices. In particular, we simulate mechanical systems used, for example, for quantum processing and requiring a very complex technology such as a spin-1/2 particle interacting with an external classical time-dependent magnetic field and a two-level atom under the action of an external classical time-dependent electric (optical) field (light-matter interaction). The photonic device consists of integrated optical waveguides supporting two collinear or codirectional modes, which are coupled by integrated optical gratings. We show that the single-photon quantum description of the dynamics of this photonic device is a quantum physical simulation of both aforementioned interacting systems. The two-mode photonic device with a single-photon quantum state represents the quantum system, and the optical grating corresponds to an external field. Likewise, we also present the generation of Aharonov–Anandan geometric phases within this photonic device, which also appear in the simulated systems. On the other hand, this photonic simulator can be regarded as a basic brick for constructing more complex photonic simulators. We present a few examples where optical gratings interacting with several collinear and/or codirectional modes are used in order to illustrate the new possibilities for quantum simulation.
Highlights
One of the most promising tasks in quantum science and technology is the implementation of quantum simulations
Elimination of the Dynamical Phase in Spin-Magnetic Field Photonic Simulation. It is well known in the mechanical case that the geometric phase is hidden in the spin-magnetic field interaction because it is combined with the dynamical phase within φ± ; the dynamical phase has to be eliminated in order to take advantage of the properties of a geometric phase
We propose a quantum photonic device based on integrated optical gratings in a two-mode slab guide to simulate the interaction between external fields and atoms
Summary
One of the most promising tasks in quantum science and technology is the implementation of quantum simulations. We present an integrated quantum photonic simulator for atom-field quantum interacting systems It is based on optical gratings and can be regarded as a basic brick for constructing more complex photonic simulators. We will simulate in an integrated photonic device the dynamical and topological properties of two very well-known quantum interacting systems. We will show that it can emulate both the dynamical and geometrical properties of the two aforementioned systems As mentioned, this photonic simulator based on integrated optical gratings can be regarded as a basic brick for more complex photonic simulators; the results obtained can be extended to multi-level systems or to several concatenated two-mode systems simulating concatenated temporal operations.
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