Coherent control of quantum tunneling in an open double-well system

Abstract

We investigate how to apply a high-frequency driving field to the quantum control of a single particle in an open double-well system. The linear stability analysis points out that the stability depends on the external-field parameters and the loss (or gain) coefficients of the system, and the instability leads to transition of the Floquet quasi-energy from real to complex values and results in the decaying probabilities of the particle in the double-well. Combining the analytical solutions in the high-frequency approximation with the numerical calculations based on the accurate model, we exhibit quantum-dynamical behaviors of the particle such as the Floquet oscillation, coherent destruction of tunneling, quasi-noon-state population, partial tunneling of one-particle, and the decaying behavior of the probabilities, which are due to the competition and balance between the quantum coherence and the loss (or gain) effect. The results propose an experimental method for testing the quantum motions of the open system by adjusting the driving field.

Transparent control of an exactly solvable two-level system via combined modulations

“…The system (1) is dimensionless by adopting the Planck constant = 1 and using the reference frequency ω 0 = 100Hz to normalize the energy and the field parameters in J(t), G(t), and using ω −1 0 to normalize time t [28]. Taking the localized states |1 and |2 as the bases, we expand the quantum state |ψ of system (1) as…”

“…4gives τ = G 0 t + G1 ω sin ωt and Eq. (5) implies that |ψ 1 and |ψ 2 are two Floquet states with quasi-energies E ± = ± 0.25 + J 2 0 G 0 , and their linear superposition |ψ is a non-Floquet state [28]. Setting the initial probability amplitudes as the real constants C 1 (0) = √ 0.99 and C 2 (0) = √ 0.01, and the proportionality constant as J 0 = 1, from Eq.…”

The Manifestation of Molecular Double-Well Structure in NO Photoelectron Spectrum

“…As a common model in quantum systems, the doublewell structure has received much attention both theoretically and experimentally [1][2][3][4][5][6][7]. The influence of relevant parameters, e.g., relative depth and width of the double-well structure, on the wave function and energy levels of the related systems has been well investigated [8,9].…”

Quantum dynamics in double-well system with polychromatic perturbation using entangled trajectory molecular dynamics method

“…Quantum dynamics process in a double-well system with a periodically oscillating external field has been one of the subjects of long-lasting interest in diverse branches of physics and chemistry [1]. In particular, the coherent destruction of tunneling (CDT) which is an interesting phenomenon originally discovered by Grossmann has attracted much attention [2][3][4]. CDT phenomenon displays coherent control of quantum dynamics via a periodically oscillating external field, it has potential application in quantum motor and quantum-information processing and is very useful to understand much fundamental time-dependent processes [5,6].…”