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Stationary states of overdamped anharmonic stochastic oscillators driven by L\'evy noise are typically multimodal. The very same situation is recorded for an underdamped L\'evy noise driven motion in single-well potentials with linear…

Statistical Mechanics · Physics 2020-08-26 Karol Capała , Bartłomiej Dybiec , Ewa Gudowska-Nowak

Self-sustained vibrations in systems ranging from lasers to clocks to biological systems are often associated with the coefficient of linear friction, which relates the friction force to the velocity, becoming negative [1,2]. The runaway of…

Quantum Physics · Physics 2019-09-04 X. Dong , M. I. Dykman , H. B. Chan

Nonlinear phononics has emerged as a powerful paradigm for the nonthermal control of quantum materials by engineering a conservative potential energy landscape. Here, we show that dissipation can serve as an additional control knob for…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Brayan I. Eraso-Solarte , Yafei Ren

Advances in light sources and time resolved spectroscopy have made it possible to excite specific atomic vibrations in solids and to observe the resulting changes in electronic properties but the mechanism by which phonon excitation causes…

Superconductivity · Physics 2017-05-05 Dante M. Kennes , Eli Y. Wilner , David R. Reichman , Andrew J. Millis

Exciton-phonon dynamics on a 1D lattice with long-range exciton-exciton interaction have been introduced and elaborated. Long-range interaction leads to a nonlocal integral term in the motion equation of the exciton subsystem if we go from…

Mathematical Physics · Physics 2011-04-08 Nick Laskin

A classical linear oscillator is treated in the small amplitude limit so that it will be approximately relativistic. The oscillator involves a charge particle in a linear potential in classical zero-point radiation. It is found that the…

Classical Physics · Physics 2026-03-17 Timothy H. Boyer

Optically controlled coherent dynamics of charge (excitonic) degrees of freedom in a semiconductor quantum dot under the influence of lattice dynamics (phonons) is discussed theoretically. We show that the dynamics of the lattice response…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Pawel Machnikowski , Lucjan Jacak

Large systems of coupled oscillators subjected to a periodic external drive occur in many situations in physics and biology. Here the simple, paradigmatic case of equal-strength, all-to-all sine-coupling of phase oscillators subject to a…

Chaotic Dynamics · Physics 2009-11-13 T. M. Antonsen , R. T. Faghih , M. Girvan , E. Ott , J. Platig

Coarse-grained Langevin-type effective field equations are derived for classical systems of particles. These equations include the effects of thermal fluctuation and dissipation which may arise from coupling to an external bath, as in the…

Nuclear Theory · Physics 2009-10-30 L. P. Csernai , S. Jeon , J. I. Kapusta

We consider a standard optomechanical system where a mechanical oscillator is coupled to a cavity mode through the radiation pressure interaction. The oscillator is coherently driven at its resonance frequency, whereas the cavity mode is…

Mesoscale and Nanoscale Physics · Physics 2019-03-01 Kjetil Borkje

The correlated motion of electrons in a one dimensional system with an externally applied longitudinal electric field is discussed. Within the tight binding model we show that in addition to the well known Bloch oscillations the…

Condensed Matter · Physics 2009-11-10 F. Claro , J. F. Weisz , S. Curilef

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 non-equilibrium dynamics of matter excited by light may produce electronic phases that do not exist in equilibrium, such as laser-induced high-transition-temperature superconductivity. Here we simulate the dynamics of a metal driven at…

Strongly Correlated Electrons · Physics 2022-12-05 John Sous , Benedikt Kloss , Dante M. Kennes , David R. Reichman , Andrew J. Millis

We study the dynamics of large polarons described by the Froehlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as…

Mathematical Physics · Physics 2015-06-18 Rupert L. Frank , Benjamin Schlein

We investigate electric current in a single-electron tunnelling device weakly coupled to an ac-driven underdamped harmonic nanomechanical oscillator. In the linear regime, the current can respond to the external frequency in a resonant as…

Mesoscale and Nanoscale Physics · Physics 2010-08-31 G. Labadze , Ya. M. Blanter

The oscillatory response of nonlinear systems exhibits characteristic phenomena such as multistability, discontinuous jumps and hysteresis. These can be utilized in applications leading, e.g., to precise frequency measurement, mixing,…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Quirin P. Unterreithmeier , Thomas Faust , Jorg P. Kotthaus

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We…

Superconductivity · Physics 2015-08-12 Shaozhi Li , E. A. Nowadnick , S. Johnston

It is intuitively imagined that the energy of a classical object always takes continues values and can hardly be confined to discrete ones like the energy levels of microscopic systems. Here, we demonstrate that such classical energy levels…

Pattern Formation and Solitons · Physics 2020-07-29 Bing He , Qing Lin , Miguel Orszag , Min Xiao

The nonequilibrium dynamics of a quantum dot with electron-phonon interactions described by a generalized Holstein model is presented. A combination of methodologies including the reduced density matrix formalism, the multilayer…

Strongly Correlated Electrons · Physics 2015-06-18 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

We study the Landau-Zener dynamics of a tunneling spin coupled to a torsional resonator. For strong spin-phonon coupling, when the oscillator frequency is large compared to the tunnel splitting, the system exhibits multiple Landau-Zener…

Mesoscale and Nanoscale Physics · Physics 2013-06-19 Michael F. O'Keeffe , Eugene M. Chudnovsky , Dmitry A. Garanin