Fizika Nizkikh Temperatur: Volume 44, Number 3 (March 2018), p. 270-277    ( to contents , go back )

Transfer of excited state between two qubits in an open waveguide

N. Sultanov and Ya.S. Greenberg

Новосибирский государственный технический университет пр. К. Маркса, 20, г. Новосибирск, 630073, Россия
E-mail: yakovgreenberg@yahoo.com

Received October 12, 2017

Abstract

In this paper probability amplitudes, referred to a qubit’s exited state transfer from one to another qubit due to non-direct interaction with a waveguide, are calculated. The system under study consists of two qubits, located at an arbitrary distance from each other. Non-Hermitian Hamiltonian approach is used, and allows to solve the problem without markovian approximations. Analytical equations, describing probability of exited state transfer for different initial states, are found. We study the photon mediated transfer of excited state between two qubits, which are located in an open waveguide at arbitrary distance from one another. We have used a method of effective non Hermitian Hamiltonian which allows for the explicit account of the retardation effects. We obtain the analytic expressions for the probability amplitudes which describe the process of the excited state transfer between two qubits under different initial state of the system.

PACS: 42.50.Hz Strong-field excitation of optical transitions in quantum systems, multiphoton processes, dynamic Stark shift;
PACS: 85.25.Am Superconducting device characterization, design, and modeling;
PACS: 85.25.Hv Superconducting logic elements and memory devices; microelectronic circuits.

Key words: qubit, superconducting cavity, microwave photon.

Published online: January 25, 2018

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