Asymmetry Amplification by a Nonadiabatic Passage through a Critical Point
arXiv:2408.15897 · doi:10.1103/PhysRevA.111.032205
Abstract
We propose and solve a minimal model of dynamic passage through a second-order phase transition in the presence of symmetry breaking interactions and no dissipation. Our model generalizes the Hamiltonian dynamics of the Painleve'-2 equation to the case with many degrees of freedom, while maintaining the integrability property. The evolution eventually leads to a highly asymmetric state, no matter how weak the symmetry breaking parameter of the Hamiltonian is. This suggests a potential mechanism for strong asymmetry in the production of quasi-particles with nearly identical characteristics. The model's integrability also yields exact exponents for the scaling of the density of the nonadiabatically excited quasi-particles.
6 pages, 3 figures
References in corpus (10)
- Cosmological Experiments in Condensed Matter Systems
- Dynamics of quantum phase transition: exact solution in quantum Ising model
- The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
- Quantum Annealing: An Overview
- Non-adiabacity and large flucutations in a many particle Landau Zener problem
- Integrable time-dependent quantum Hamiltonians
- Integrable multistate Landau-Zener models with parallel energy levels
- Parametric tuning of quantum phase transitions in ultracold reactions
- Nonadiabatic Phase Transition with Broken Chiral Symmetry
- Quantum Hopfield Model with Dilute Memories