Interaction Systems and Quantum Models

Andrew D. Greentree

The Jaynes-Cummings-Hubbard model describes a network of interacting atom-cavity systems. In this model the photons can hop between cavities effecting a tunneling interaction, and the Jaynes-Cummings interaction gives rise to an onsite interaction. This model forms a bridge connection between condensed matter physics and quantum optics. Here we review the physics underpinning this model, properties of Jaynes-Cummings-Hubbard systems, the requirements on systems for realizing this model, and some of the progress to date.

Zhanyu Ma, Matan Lotem, Yigal Meir +1 more

The interacting resonant level model (IRLM) is the simplest quantum impurity model to display strongly correlated effects in mesoscopic systems, which triggered its extensive theoretical study. However, to date, there have not been any realizations of the model with controllable interaction parameter, and thus the detailed predictions could not be confirmed. Here we use a recently developed approach to Anderson orthogonality catastrophe physics, using a charge detector coupled to a quantum dot (QD) system, to devise a simple experimental system which could display IRLM behavior and detail its predictions. At the same time, the mapping to IRLM allows us to determine the interaction parameter of the charge detector using simple experimental probes.

Pothos, Emmanuel, Coecke, Bob, J. Acácio de Barros

Bandyopadhyay, J. N.

As a model of decohering environment, we show that a quantum chaotic system behaves equivalently as a many-body system. An approximate formula for the time evolution of the reduced density matrix of a system interacting with a quantum chaotic environment is derived. This theoretical formulation is substantiated by the numerical study of the decoherence of two qubits interacting with a quantum chaotic environment modeled by a chaotic kicked top. Like the many-body model of environment, the quantum chaotic system is an efficient decoherer, and it can generate entanglement between the two qubits which have no direct interaction.