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In the presence of interactions, periodically-driven quantum systems generically thermalize to an infinite-temperature state. Recently, however, it was shown that in random kicked rotors with local interactions, this long-time equilibrium…

Quantum Gases · Physics 2022-10-14 Maxime Martinez , Pierre-Élie Larré , Dominique Delande , Nicolas Cherroret

Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent results show how bifurcations near resonances can be…

Dynamical Systems · Mathematics 2020-11-11 Mattia Cenedese , George Haller

A parametrically driven oscillator has two stable vibrational states at half the modulation frequency. The states have opposite phase and equal amplitudes. An extra drive at half the modulation frequency provides an effective bias that…

Quantum Physics · Physics 2025-01-15 Daniel K. J. Boneß , Wolfgang Belzig , Mark I. Dykman

Discrete time-translation symmetry breaking can be observed in periodically-driven systems oscillating at a fraction of the frequency of the driving force. However, with the exception of the parametric instability in period-doubling,…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Lisa Arndt , Fabian Hassler

We present an experimental study of quasiperiodic transitions between a highly ordered square-lattice pattern and a disordered, defect-riddled state, in a circular Faraday system. We show that the transition is driven initially by a…

Fluid Dynamics · Physics 2023-07-26 Valeri Frumkin , Shreyas Gokhale

We study a particular form of interaction Hamiltonian between qubits and quantum harmonic oscillators, whose closed system dynamics results in qubit controlled displacement operations. We show how this interaction is realizable in many…

Quantum Physics · Physics 2012-09-18 Tommaso Tufarelli

Synthetic nanoscale complexes capable of mechanical movement are often studied theoretically using discrete-state models that involve instantaneous transitions between metastable states. A number of general results have been derived within…

Statistical Mechanics · Physics 2012-12-21 Dibyendu Mandal , Christopher Jarzynski

When a frequency chirped excitation is applied to a classical high-Q nonlinear oscillator, its motion becomes dynamically synchronized to the drive and large oscillation amplitude is observed, provided the drive strength exceeds the…

Quantum Physics · Physics 2013-07-10 K. W. Murch , E. Ginossar , S. J. Weber , R. Vijay , S. M. Girvin , I. Siddiqi

If an oscillator is driven by a force that switches between two frequencies, the dynamics it exhibits depends on the precise manner of switching. Here we take a one-dimensional oscillator and consider scenarios in which switching occurs:…

Dynamical Systems · Mathematics 2021-07-28 Carles Bonet , Mike R. Jeffreyy , Pau Martin , Josep M. Olm

This work investigates dynamical quantum phase transitions (DQPTs) in a one-dimensional Ising model subjected to a periodically modulated transverse field. In contrast to sudden quenches, we demonstrate that a DQPT can be induced in two…

Other Condensed Matter · Physics 2026-05-25 Yuanyuan Cheng , Yuxia Zhang , Tianhui Qiu , Peipei Xin , Bao-Ming Xu

We study the quantum phase transition of the Dicke model in the classical oscillator limit, where it occurs already for finite spin length. In contrast to the classical spin limit, for which spin-oscillator entanglement diverges at the…

Quantum Physics · Physics 2012-05-08 L. Bakemeier , A. Alvermann , H. Fehske

We numerically study the dynamics and stationary states of a spin ensemble strongly coupled to a single-mode resonator subjected to loss and external driving. Employing a generalized cumulant expansion approach we analyze finite-size…

Quantum Physics · Physics 2019-08-06 Matthias Zens , Dmitry O. Krimer , Stefan Rotter

Using recent mathematical advances, a geometric approach to rare noise-driven transition events in nonequilibrium systems is given, and an algorithm for computing the maximum likelihood transition curve is generalized to the case of…

Probability · Mathematics 2010-10-19 Matthias Heymann , Stephen W. Teitsworth , Jonathan C. Mattingly

In a previous paper [J.S.Briggs and A.Eisfeld, Phys.Rev.A 85, 052111] we showed that the time-development of the complex amplitudes of N coupled quantum states can be mapped by the time development of positions and velocities of N coupled…

Quantum Physics · Physics 2014-02-18 J. S. Briggs , A. Eisfeld

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between qualitatively distinct trajectories in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-02 Jeffrey Emenheiser , Airlie Chapman , Márton Pósfai , James P. Crutchfield , Mehran Mesbahi , Raissa M. D'Souza

We study a periodically driven macrospin system with anisotropic long-range interactions and collective dissipation, described by a Lindblad master equation. In the thermodynamic limit ($N\to\infty$), a mean-field treatment yields classical…

Quantum Physics · Physics 2026-01-05 Haowei Fan , Vladimir Fal'ko , Xiao Li

Fast scrambling of quantum correlations, reflected by the exponential growth of Out-of-Time-Order Correlators (OTOCs) on short pre-Ehrenfest time scales, is commonly considered as a major quantum signature of unstable dynamics in quantum…

Quantum Physics · Physics 2023-08-22 Mathias Steinhuber , Peter Schlagheck , Juan-Diego Urbina , Klaus Richter

We investigate phase transitions towards frequency entrainment in large, locally coupled networks of limit cycle oscillators. Specifically, we simulate two-dimensional lattices of pulse-coupled oscillators with random natural frequencies,…

Statistical Mechanics · Physics 2015-06-24 P. Ostborn , S. Aberg , G. Ohlen

It is well known that the addition of noise to a multistable dynamical system can induce random transitions from one stable state to another. For low noise, the times between transitions have an exponential tail and Kramers' formula gives…

Dynamical Systems · Mathematics 2017-11-15 Peter Ashwin , Jennifer Creaser , Krasimira Tsaneva-Atanasova

We consider overdamped Brownian dynamics in a periodic potential with temporally oscillating amplitude. We analyze the transport which shows effective diffusion enhanced by the oscillations and derive approximate expressions for the…

Other Condensed Matter · Physics 2015-05-18 Pawel Romanczuk , Felix Mueller , Lutz Schimansky-Geier
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