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We present direct observation of the ring-down dynamics in the rotating frame of a resonantly driven single-mode nonlinear nanomechanical resonator. An additional close to resonance harmonic force excites nonlinear oscillations about the…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Hyunjin Choi , Oriel Shoshani , Ryundon Kim , Younghun Ryu , Jinhoon Jeong , Junho Suh , Steven W. Shaw , M. I. Dykman , Hyoungsoon Choi

Mechanical sources of nonlinear damping play a central role in modern physics, from solid-state physics to thermodynamics. The microscopic theory of mechanical dissipation [M. I . Dykman, M. A. Krivoglaz, Physica Status Solidi (b) 68, 111…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Ata Keşkekler , Oriel Shoshani , Martin Lee , Herre S. J. van der Zant , Peter G. Steeneken , Farbod Alijani

It is widely recognized that a physical system can only respond to a periodic driving significantly when the driving frequency matches the normal mode frequency of the system, which leads to resonance. Off-resonant phenomena are rarely…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 H. Y. Yuan , Shasha Zheng , Qiongyi He , Jiang Xiao , Rembert A. Duine

Nanomechanical and other mesoscopic vibrational systems typically have several nonlinearly coupled modes with different frequencies and with long lifetime. We consider the power spectrum of one of these modes. Thermal fluctuations of the…

Mesoscale and Nanoscale Physics · Physics 2019-05-23 Yaxing Zhang , M. I. Dykman

Observation of resonance modes is the most straightforward way of studying mechanical oscillations because these modes have maximum response to stimuli. However, a deeper understanding of mechanical motion could be obtained by also looking…

We study nanomechanical resonators with frequency fluctuations due to diffusion of absorbed particles. The diffusion depends on the vibration amplitude through inertial effect. We find that, if the diffusion coefficient is sufficiently…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 J. Atalaya , A. Isacsson , M. I. Dykman

Periodic driving of quantum dots is analyzed as a basis for developing dynamic switching devices. We study transport through periodically modulated energy levels which are coupled to leads via tunneling coefficients. Utilizing Floquet…

Mesoscale and Nanoscale Physics · Physics 2025-09-10 Jan Mathis Giesen , Daniel Weber , Sebastian Eggert

Mechanical nonlinearities dominate the motion of nanoresonators already at relatively small oscillation amplitudes. Although single and coupled two-degrees-of-freedom models have been used to account for experimentally observed nonlinear…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Ata Keşkekler , Vincent Bos , Alejandro M. Aragón , Peter G. Steeneken , Farbod Alijani

The observation of quantized nanomechanical oscillations by detecting femtometer-scale displacements is a significant challenge for experimentalists. We propose that phonon blockade can serve as a signature of quantum behavior in…

Quantum Physics · Physics 2015-05-14 Yu-xi Liu , Adam Miranowicz , Y. B. Gao , J. Bajer , C. P. Sun , Franco Nori

As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the…

Chaotic Dynamics · Physics 2015-05-28 L. Chotorlishvili , A. Ugulava , G. Mchedlishvili , A. Komnik , S. Wimberger , J. Berakdar

State of the art nanomechanical resonators present quality factors Q ~ 10^3 - 10^5, which are much lower than those that can be naively extrapolated from the behavior of micromechanical resonators. We analyze the dissipation mechanism that…

Mesoscale and Nanoscale Physics · Physics 2009-09-04 I. Wilson-Rae

We study the dynamics of a transmon qubit that is capacitively coupled to an open multimode superconducting resonator. Our effective equations are derived by eliminating resonator degrees of freedom while encoding their effect in the…

Quantum Physics · Physics 2017-05-02 Moein Malekakhlagh , Alexandru Petrescu , Hakan E. Türeci

Understanding how external driving and dissipation jointly influence the dynamics of open quantum systems is essential for advancing the study of non-equilibrium quantum phenomena and developing quantum technologies. The present study…

Quantum Physics · Physics 2025-05-14 Roie Dann

Driven non-linear resonators can display sharp resonances or even multistable behaviours amenable to induce strong enhancements of weak signals. Such enhancements can make use of the phenomenon of vibrational resonance whereby a weak…

The directed transport of an overdamped Brownian motor moving in a spatially periodic potential that lacks reflection symmetry (i.e. a ratchet potential) is studied when driven by thermal and dichotomic nonequilibrium noise in the presence…

Soft Condensed Matter · Physics 2008-08-05 Lukasz Machura , Jerzy Luczka , Peter Talkner , Peter Hänggi

The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system.…

We determine the small signal gain and noise response of an amplifier based on the nonlinear response of a quantum nanomechanical resonator. The resonator is biased in the nonlinear regime by a strong harmonic bias force and we determine…

Quantum Physics · Physics 2009-11-13 E. Babourina-Brooks , A. Doherty , G. J. Milburn

We describe the realization of multimode phononic correlations that arise from nonlinear interactions in a mechanical nondegenerate parametric amplifier. The nature of these correlations differs qualitatively depending on the strength of…

Quantum Physics · Physics 2015-07-17 S. Chakram , Y. S. Patil , M. Vengalattore

A current-carrying resonant nanoscale device, simulated by non-adiabatic molecular dynamics, exhibits sharp activation of non-conservative current-induced forces with bias. The result, above the critical bias, is generalized rotational…

Mesoscale and Nanoscale Physics · Physics 2012-09-21 Daniel Dundas , Brian Cunningham , Claire Buchanan , Asako Terasawa , Anthony T. Paxton , Tchavdar N. Todorov

We have shown that the size of the magnetization step due to resonant spin tunneling in a molecular magnet can be strongly affected by sound. The transverse acoustic wave can also generate macroscopic quantum beats of the magnetization…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Gwang-Hee Kim , E. M. Chudnovsky