Random walking of a two-level atom in a standing-wave field

Sirotkin, V. Yu.; Prants, S. V.

doi:10.1117/12.464459

Cited by 2 publications

(1 citation statement)

References 1 publication

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“…Note that some systems with frequency modulation, in which the eigen-frequency of the systems can be periodically modulated [39,40], have also attracted much interest f rom researchers recently. The periodically modulated eigen-frequency can be realized by means of the alternatively external control field [41,42]. With this technique, a circuit QED lattice with frequency modulation can be constructed, in which the frequency of the superconducting qubits or superconducting resonators can vary periodically with time.…”

Section: Introductionmentioning

confidence: 99%

Topological phase transition of the generalized Su–Schrieffer–Heeger model based on a frequency-modulated circuit quantum electrodynamics lattice

Han¹,

Yan²,

Qi³

et al. 2020

Laser Phys. Lett.

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We propose a scheme to investigate the topological phase transition in the generalized one-dimensional Su-Schrieffer-Heeger (SSH) model based on a circuit quantum electrodynamics (QED) lattice with frequency modulation. We find that, if we keep the resonant counter rotating wave terms to map the p-wave superconducting pairing terms in the topological superconductor by dint of frequency modulation, the circuit QED lattice can be equivalent to the SSH model with p-wave superconducting pairing terms. The numerical results show that the existence of the superconducting pairing terms cannot close the energy gap of the SSH model within the feasible range of parameters, which means that the superconducting pairing terms cannot induce the topological phase transition. To induce the topological phase transition, we add the next-nearest-neighboring (NNN) interaction into the circuit QED-based SSH model simultaneously. We find that, for a given superconducting pairing strength, the appropriate selection of the NNN interaction can induce closing of the energy gap. It indicates that a new topological phase transition between the topologically nontrivial SSH phase and the topologically trivial SSH phase occurs in the SSH model. Our scheme provides a means to explore the topological SSH phase transition based on a circuit QED lattice with frequency modulation.

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Section: Introductionmentioning

confidence: 99%

Topological phase transition of the generalized Su–Schrieffer–Heeger model based on a frequency-modulated circuit quantum electrodynamics lattice

Han¹,

Yan²,

Qi³

et al. 2020

Laser Phys. Lett.

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Interaction of a two-level atom with single-mode optical field beyond the rotating wave approximation

Liu

2014

Opt. Express

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One of the simplest models involving the atom-field interaction is the coupling of a single two-level atom with single-mode optical field. Under the rotating wave approximation, this problem is reduced to a form that can be solved exactly. But the approximation is only valid when the two levels are resonant or nearly resonant with the applied electromagnetic radiation. Here we present an analytical solution without the rotating wave approximation and applicable to general atom-field interaction far away from the resonance. We find that there exists remarkable influence of the initial phase of optical field on the Rabi oscillations and Rabi splitting, and this issue cannot be explored in the context of the rotating wave approximation. Due to the retention of the counter-rotating terms, higher-order harmonic appears during the Rabi splitting. The analytical solution suggests a way to regulate and control the quantum dynamics of a two-level atom and allows for exploring more essential features of the atom-field interaction.

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Random walking of a two-level atom in a standing-wave field

Cited by 2 publications

References 1 publication

Topological phase transition of the generalized Su–Schrieffer–Heeger model based on a frequency-modulated circuit quantum electrodynamics lattice

Topological phase transition of the generalized Su–Schrieffer–Heeger model based on a frequency-modulated circuit quantum electrodynamics lattice

Interaction of a two-level atom with single-mode optical field beyond the rotating wave approximation

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