Superradiance transition in a system with a single qubit and a single oscillator

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Abstract

We consider the phase-transition-like behavior in the Rabi model containing a single two-level system, or qubit, and a single harmonic oscillator. The system experiences a sudden transition from an uncorrelated state to an increasingly correlated one as the qubit-oscillator coupling strength is varied and increased past a critical point. This singular behavior occurs in the limit where the oscillator's frequency is much lower than the qubit's frequency; away from this limit one obtains a finite-width transition region. By analyzing the energy-level structure, the value of the oscillator field and its squeezing and the qubit-oscillator correlation, we gain insight into the nature of the transition and the associated critical behavior.

Original languageEnglish
Article number013826
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number1
DOIs
Publication statusPublished - 23 Jan 2013
Externally publishedYes

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oscillators
compressing
harmonic oscillators
critical point
energy levels

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

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AB - We consider the phase-transition-like behavior in the Rabi model containing a single two-level system, or qubit, and a single harmonic oscillator. The system experiences a sudden transition from an uncorrelated state to an increasingly correlated one as the qubit-oscillator coupling strength is varied and increased past a critical point. This singular behavior occurs in the limit where the oscillator's frequency is much lower than the qubit's frequency; away from this limit one obtains a finite-width transition region. By analyzing the energy-level structure, the value of the oscillator field and its squeezing and the qubit-oscillator correlation, we gain insight into the nature of the transition and the associated critical behavior.

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