Tunneling current induced squeezing of the single-molecule vibrational mode

Maslova, N. S.; Манцевич, В. Н.; Arseyev, P. I.; Sokolov, I. M.

doi:10.1103/physrevb.100.035307

Cited by 8 publications

(13 citation statements)

References 38 publications

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“…In the domain crit < < 1 , tunneling transitions occur only for the quasienergy ≈ res due to a deltafunction peak in λ T ( ). Because of that, the stationary distributions in the region crit < < res are the solutions of (9) with nonzero probability flow. The flow can be obtained from boundary conditions at res obtained by integrating (9) in the vicinity of res .…”

Section: Multi-photon Resonance and The Populations Of The Stationary...mentioning

confidence: 99%

“…Because of that, the stationary distributions in the region crit < < res are the solutions of (9) with nonzero probability flow. The flow can be obtained from boundary conditions at res obtained by integrating (9) in the vicinity of res . Finally, for > res , the stationary distributions in regions 1 and 3 coincide with the solutions of ( 9) without tunneling term and with zero probability flow.…”

Section: Multi-photon Resonance and The Populations Of The Stationary...mentioning

confidence: 99%

“…In this Appendix, we derive the Fokker-Planck equation with tunneling term (9) from the approximate form of the quantum master equation (7), (8). The first step is to express ρ 13 n through ρ 11 n and ρ 33 n using the Eq.…”

Section: (A5)mentioning

confidence: 99%

“…. After truncating the expansion up to the second order, one gets the Fokker-Planck equation with the tunneling term (9). The resulting drift and diffusion coefficients K r ( ), D r ( ) and the period T r ( ) can be found as the contour integrals over classical trajectories of the nonlinear oscillator:…”

Section: (A5)mentioning

confidence: 99%

“…Recently, it became possible to observe bistability in systems operating with only few number of excitation quanta [6] [7] [8]. Such systems are promising candidates for generation of squeezed states which are important for decreasing the noise-signal ratio in quantum measurements [9]. Moreover, they can be useful for creation of entangled states which are crucial for applications in quantum information processing and safe quantum communications systems.…”

Section: Introductionmentioning

confidence: 99%

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Multiphoton resonance in a driven Kerr oscillator in presence of high-order nonlinearities

Anikin,

Maslova,

Gippius

et al. 2021

Preprint

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We consider multiphoton resonance in the quantum driven nonlinear oscillator in presence of high-order nonlinearities. Multiphoton resonances were associated with anticrossings of the quasienergy levels, which leads to the emergence of peaks and dips in the detuning dependence of the stable states occupations. In presence of high-order nonlinearities the positions of anticrossings acquire different shifts. Depending on the ratio between high-order-nonlinearity-induced shift of the multiphoton resonance and Kerr nonlinearity, the multiphoton resonance can acquire fine structure. We also considered the effect of finite damping on the relative occupation of the stable states. For different damping constants, we determined the quasienergy region where the anticrossing effects strongly influence the system kinetics.

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Section: Multi-photon Resonance and The Populations Of The Stationary...mentioning

confidence: 99%

Section: Multi-photon Resonance and The Populations Of The Stationary...mentioning

confidence: 99%

Section: (A5)mentioning

confidence: 99%

Section: (A5)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multiphoton resonance in a driven Kerr oscillator in presence of high-order nonlinearities

Anikin,

Maslova,

Gippius

et al. 2021

Preprint

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Squeezed Protons and Infrared Plasmonic Resonance Energy Transfer

Li,

Paenurk,

Hammes-Schiffer

2024

J. Phys. Chem. Lett.

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Unusual nuclear quantum effects may emerge near noble metal nanostructures such as squeezed vibrational states in molecular junctions and plasmonic resonance energy transfer in the infrared domain. Herein, nuclear quantum effects near heavy metals are studied by nuclear−electronic orbital density functional theory (NEO-DFT) with an effective core potential. For a quantum proton sandwiched between a pair of gold tips modeled by two Au 6 clusters, NEO-DFT calculations suggest that the quantum proton density can be squeezed as the tip distance decreases. For an HF molecule placed near a onedimensional Au nanowire composed of up to 34 Au atoms, real-time NEO time-dependent density functional theory (RT-NEO-TDDFT) shows that the infrared plasmonic motion within the Au nanowire may resonantly transfer electronic energy to the HF proton vibrational stretch mode. Overall, these calculations illustrate the advantages of the NEO approach for probing nuclear quantum effects, such as squeezed proton vibrational states and infrared plasmonic resonance energy transfer.

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The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions

Nikitchuk

Anikin

Maslova

et al. 2023

Sci Rep

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We consider the model of two coupled oscillators with Kerr nonlinearities in the rotating-wave approximation. We demonstrate that for a certain set of parameters of the model, the multi-photon transitions occur between many pairs of the oscillator states simultaneously. Also, the position of the multi-photon resonances does not depend on the coupling strength between two oscillators. We prove rigorously that this is a consequence of a certain symmetry of the perturbation theory series for the model. In addition, we analyse the model in the quasi-classical limit by considering the dynamics of the pseudo-angular momentum. We identify the multi-photon transitions with the tunnelling transitions between the degenerate classical trajectories on the Bloch sphere.

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Tunneling current induced squeezing of the single-molecule vibrational mode

Cited by 8 publications

References 38 publications

Multiphoton resonance in a driven Kerr oscillator in presence of high-order nonlinearities

Multiphoton resonance in a driven Kerr oscillator in presence of high-order nonlinearities

Squeezed Protons and Infrared Plasmonic Resonance Energy Transfer

The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions

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