Qubit-nonlinear-oscillator systems: from the moderate-coupling limit to the ultrastrong-coupling regime
| Autor: | O. de los Santos-Sánchez |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Physics Coupling Quantum Physics General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics 01 natural sciences 010305 fluids & plasmas Nonlinear oscillators Modeling and Simulation Quantum mechanics Qubit 0103 physical sciences Limit (mathematics) 010306 general physics Quantum Physics (quant-ph) Mathematical Physics |
| DOI: | 10.48550/arxiv.1806.07446 |
| Popis: | This work aims to provide an alternative approach to modeling a two-state system (qubit) coupled to a nonlinear oscillator. Within a single algebraic scheme based upon the f-deformed oscillator description, hard and soft nonlinearities are proposed to be simulated by making use of fitting algebraic models extracted from the trigonometric and modified P\"oschl-Teller potentials, respectively. In the regime where the strength of the coupling is considered to be moderate, this approach allows for an analytic, albeit approximate, diagonalization process of the proposed Hamiltonian through using the Van Vleck perturbation theory and embracing the two types of nonlinear features. In the ultrastrong-coupling regime, the effect of such nonlinearities upon the squeezing and phase space properties of the ground state of the composite system is also explored by numerical means. Comment: 31 pages, 10 figures. Submitted 11 April 2018; Accepted for publication 4 June 2018 |
| Databáze: | OpenAIRE |
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