Motion of vortices implies chaos in Bohmian mechanics
arXiv:quant-ph/0502108 · doi:10.1209/epl/i2005-10085-3
Abstract
Bohmian mechanics is a causal interpretation of quantum mechanics in which particles describe trajectories guided by the wave function. The dynamics in the vicinity of nodes of the wave function, usually called vortices, is regular if they are at rest. However, vortices generically move during time evolution of the system. We show that this movement is the origin of chaotic behavior of quantum trajectories. As an example, our general result is illustrated numerically in the two-dimensional isotropic harmonic oscillator.
arXiv comment7 pages 5 figures
References in corpus (3)
Cited by in corpus (26)
- Applied Bohmian Mechanics
- Origin of chaos near critical points of quantum flow
- Nodal points and the transition from ordered to chaotic Bohmian trajectories
- Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories
- Order in de Broglie - Bohm quantum mechanics
- Bohmian trajectories in an entangled two-qubit system
- Vortex interaction, chaos and quantum probabilities
- Chaos in Bohmian Quantum Mechanics: A short review
- Chaos and ergodicity in an entangled two-qubit Bohmian system
- Origin of chaos near three-dimensional quantum vortices: A general Bohmian theory
- Chaotic Bohmian trajectories for stationary states
- Origin of chaos in 3-d Bohmian trajectories
- Are Bohmian trajectories real? On the dynamical mismatch between de Broglie-Bohm and classical dynamics in semiclassical systems
- Partial Integrability of 3-d Bohmian Trajectories
- Extreme quantum nonequilibrium, nodes, vorticity, drift, and relaxation retarding states
- Wavepacket approach to particle diffraction by thin targets: Quantum trajectories and arrival times
- Quantum vortices and trajectories in particle diffraction
- Integrals of motion in 3-d Bohmian Trajectories
- Evolution of Quantum Nonequilibrium for Coupled Harmonic Oscillators
- de Broglie-Bohm analysis of a nonlinear membrane: From quantum to classical chaos
- Nonclassical polarization dynamics in classical-like states
- Quantum relaxation in a system of harmonic oscillators with time-dependent coupling
- Bohmian Chaos and Entanglement in a Two-Qubit System
- Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics
- Bohmian Trajectories of the Time-oscillating Schrödinger Equations
- Numerical validation of Ehrenfest theorem in a Bohmian perspective for non-conservative systems