Abstract
We investigate the interaction of two two-level qubits with a single mode quantum field in a cavity without rotating wave approximation and considering that qubits can be located at an arbitrary distance from each other. We demonstrate that there exists a radiation induced interaction potential between atoms. We studied the properties of the system numerically and in addition constructed a simple analytical approximation. It is shown that the observable characteristics are substantially dependent on the distance between the qubits in the strong coupling regime. This allows one to perform the quantum control of the qubits, which can be exploited for the recording and transmission of quantum information.
Highlights
Quantum Rabi model (QRM) describes the interaction of a two-level atom with a resonant single-mode quantum field in a cavity [1, 2]
The model attracted attention due to the fact that in many systems it is possible [9, 10] to control the interaction strength in a wide range, including the so called ultra strong coupling (USC) regime, which corresponds to the variation interval from 0.3 to 1.0 of a dimensionless coupling constant f between an atom and a field
The systems with the coupling constant from the USC range were lately realized experimentally [9, 11]. These achievements are crucial for control of an interaction of quantum emitters with individual photons that is an important part of recording and transmission of quantum information. Another related direction is the generalization of the QRM to systems containing multiple qubits, in particular the two qubits interacting with a resonance quantum field - the Tavis-Cummings model (TCM) [12, 13]
Summary
Quantum Rabi model (QRM) describes the interaction of a two-level atom with a resonant single-mode quantum field in a cavity [1, 2]. The dependence of observable characteristics of the system of two qubits on the distance between them adds an additional possibility to control the system This allows one to control the location of the peak of in the scattering cross section of the resonance radiation [19]; to vary the degree of entanglement when the transmission of quantum information is happening by two emitters (qubits) [20]; to change the population of states of two two-level systems to control the probability of a spontaneous emission [21]; to obtain a periodic structure in the system of N -atoms — the extended Dicke model [22]
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