Lewis-Riesenfeld Invariants in Two-level Quantum System Without the Rotating-Wave Approximation

Quantum adiabatic theorem is one of the most important conclusions in quantum mechanics, and is widely used in quantum theory and quantum information technology. However, since quantum adiabatic process is a very slow process, factors such as quantum environmental noise or decoherence will affect th...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 59; no. 11; pp. 3613 - 3622
Main Authors Li, Hong, Zhang, Si-Qi, Li, Mei-Xuan, Liu, Xiao-Han
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2020
Springer Nature B.V
Subjects
Adiabatic flow
Approximation
Background noise
Elementary Particles
Invariants
Mathematical analysis
Mathematical and Computational Physics
Parameters
Physics
Physics and Astronomy
Population
Population inversion
Quantum Field Theory
Quantum mechanics
Quantum phenomena
Quantum Physics
Quantum theory
Rabi frequency
Rotation
Theoretical
Time dependence
Shortcut to adiabaticity
Without the rotating-wave approximation
Lewis-Riesenfeld invariants
Two-level quantum system
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Summary:Quantum adiabatic theorem is one of the most important conclusions in quantum mechanics, and is widely used in quantum theory and quantum information technology. However, since quantum adiabatic process is a very slow process, factors such as quantum environmental noise or decoherence will affect the results of quantum adiabatic calculation. Therefore, the shortcut to adiabaticity (STA) theory came into being. In this paper, we study the population inversion in a two-level quantum system within a given time, we propose a Lewis-Riesenfeld invariants technique to realize population transfer for the system without the rotating-wave approximation (RWA). According to the invariant condition, the system time-dependent invariant expression is obtained. The amplitudes of Rabi frequency and detuning in the system could be easily controlled by adjusting control parameters. For population inversion, we can get Rabi frequency and detuning by determining the parameters in the invariant. We analyze the dynamics of the system through invariant operators, therefore, no additional coupling is required. Thereby the high-fidelity population transfer can be implemented in two-level quantum system by our method, and it works even without RWA.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-020-04621-y