Paths of fluctuation induced switching

Abstract

We demonstrate that the paths followed by a system in fluctuation-activated switching form a narrow tube in phase space. A theory of the path distribution is developed and its direct measurement is performed in a micromechanical oscillator. The experimental and theoretical results are in excellent agreement, with no adjustable parameters. We also demonstrate the lack of time-reversal symmetry in switching of systems far from thermal equilibrium.

Accepted to Phys. Rev. Lett

References in corpus (13)

• An RF-Driven Josephson Bifurcation Amplifier for Quantum Measurements
• Quantum non-demolition measurement of a superconducting two-level system
• Noise-enabled precision measurements of a Duffing nanomechanical resonator
• Noise activated switching in a driven, nonlinear micromechanical oscillator
• The Effect of Focusing and Caustics on Exit Phenomena in Systems Lacking Detailed Balance
• Signal amplification in a nanomechanical Duffing resonator via stochastic resonance
• Activation barrier scaling and crossover for noise-induced switching in a micromechanical parametric oscillator
• Resonant activation in a nonadiabatically driven optical lattice
• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Spontaneous Symmetry Breaking of Population between Two Dynamic Attractors in a Driven Atomic Trap: Ising-class Phase Transition
• Dynamics of Activated Escape, and Its Observation in a Semiconductor Laser
• Stochastic current switching in bistable resonant tunneling systems
• Stability Properties of Nonhyperbolic Chaotic Attractors under Noise

Cited by in corpus (37)

• Macroscopic fluctuation theory
• Mesoscopic physics of nanomechanical systems
• Classical many-body time crystals
• Parametric symmetry breaking in a nonlinear resonator
• High-frequency stochastic switching of graphene resonators near room temperature
• Lagrangian phase transitions in nonequilibrium thermodynamic systems
• An Ideal Mean-Field Transition in a Modulated Cold Atom System
• Observation of first- and second-order dissipative phase transitions in a two-photon driven Kerr resonator
• The Zeroth Law of Thermodynamics and Volume-Preserving Conservative Dynamics with Equilibrium Stochastic Damping
• Experimental metrics for detection of detailed balance violation
• Dissipative phase transitions in $n$-photon driven quantum nonlinear resonators
• Transition times in the low-noise limit of stochastic dynamics
• Optimal paths of non-equilibrium stochastic fields: the Kardar-Parisi-Zhang interface as a test case
• Non-Equilibrium Thermodynamics and Topology of Currents
• Switching path distribution in multi-dimensional systems
• Scaling laws for the bifurcation-escape rate in a nanomechanical resonator
• Controlled asymmetric Ising model implemented with parametric micromechanical oscillators
• Chaos in Continuously Monitored Quantum Systems: An Optimal Path Approach
• Nonlinear, Nonequilibrium and Collective Dynamics in a Periodically Modulated Cold Atom System
• Quantum fluctuations in modulated nonlinear oscillators
• Rare slips in fluctuating synchronized oscillator networks
• Thermally activated switching in the presence of non-Gaussian noise
• Poisson noise induced switching in driven micromechanical resonators
• Experimental measurement of relative path probabilities and stochastic actions
• Deterministic and stochastic sampling of two coupled Kerr parametric oscillators
• Homoclinic orbits and chaos in a pair of parametrically-driven coupled nonlinear resonators
• Extracting the lifetime of a synthetic two-level system
• Large rare fluctuations in systems with delayed dissipation
• Steering most probable escape paths by varying relative noise intensities
• A complicated Duffing oscillator in the surface-electrode ion trap
• Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics
• An Onsager-Machlup approach to the most probable transition pathway for a genetic regulatory network
• Three Strongly Coupled Kerr Parametric Oscillators Forming a Boltzmann Machine
• Sparse identification of quasipotentials via a combined data-driven method
• Noise-induced switching from a symmetry-protected shallow metastable state
• Resonant nonlinear response of a nanomechanical system with broken symmetry
• Sojourn probabilities in tubes and pathwise irreversibility for Itô processes