Probabilistic Hysteresis in Integrable and Chaotic Isolated Hamiltonian Systems
arXiv:1904.00474 · doi:10.1103/PhysRevLett.123.114101
Abstract
We propose currently feasible experiments using small, isolated systems of ultracold atoms to investigate the effects of dynamical chaos in the microscopic onset of irreversibility. A control parameter is tuned past a critical value, then back to its initial value; hysteresis appears as a finite probability that the atoms fail to return to their initial state even when the parameter sweep is arbitrarily slow. We show that an episode of chaotic dynamics during part of the sweep time produces distinctive features in the distribution of final states that will be clearly observable in experiments.
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Cited by in corpus (12)
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- Hyperchaos in a Bose-Hubbard chain with Rydberg-dressed interactions
- Chaos induced breakdown of Bose-Hubbard modeling
- Probabilistic Hysteresis in an Isolated Quantum System: The Microscopic Onset of Irreversibility from a Quantum Perspective
- How to probe the microscopic onset of irreversibility with ultracold atoms
- Many-body adiabatic passage: Instability, chaos, and quantum classical correspondence
- Quasistatic transfer protocols for atomtronic superfluid circuits
- Quantum irreversibility of quasistatic protocols for finite-size quantized systems
- Dynamical change under slowly changing conditions: the quantum Kruskal-Neishtadt-Henrard theorem
- Probabilistic Hysteresis from a Quantum Phase Space Perspective
- Stochastic modeling of spreading and dissipation in mixed-chaotic systems that are driven quasistatically