Investigating interaction-induced chaos using time-dependent density functional theory
arXiv:0706.2417 · doi:10.1103/PhysRevA.77.042503
Abstract
Systems whose underlying classical dynamics are chaotic exhibit signatures of the chaos in their quantum mechanics. We investigate the possibility of using time-dependent density functional theory (TDDFT) to study the case when chaos is induced by electron-interaction alone. Nearest-neighbour level-spacing statistics are in principle exactly and directly accessible from TDDFT. We discuss how the TDDFT linear response procedure can reveal the mechanism of chaos induced by electron-interaction alone. A simple model of a two-electron quantum dot highlights the necessity to go beyond the adiabatic approximation in TDDFT.
8 pages, 4 figures
References in corpus (24)
- Random Matrix Theories in Quantum Physics: Common Concepts
- Time-dependent density functional theory: Past, present, and future
- The Statistical Theory of Quantum Dots
- Quasiparticle Lifetime in a Finite System: A Non--Perturbative Approach
- Nearsightedness of Electronic Matter
- Current-dependent exchange-correlation potential for dynamical linear response theory
- Emergence of quantum chaos in finite interacting Fermi systems
- Quantum many-body dynamics in a Lagrangian frame: I. Equations of motion and conservation laws
- Quantum many-body dynamics in a Lagrangian frame: II. Geometric formulation of time-dependent density functional theory
- Optimal control of time-dependent targets
- Long-range excitations in time-dependent density functional theory
- Coherent versus sequential electron tunneling in quantum dots
- Statistical properties of energy levels of chaotic systems: Wigner or non-Wigner
- Time-dependent exchange-correlation current density functionals with memory
- Adiabatic Approximation of the Correlation Function in the Density-Functional Treatment of Ionization Processes
- Rydberg transition frequencies from the Local Density Approximation
- Generic Galilean invariant exchange correlation functionals with quantum memory
- Molecules in external fields: a semiclassical analysis
- Spectral properties of non-hydrogenic atoms in weak external fields
- Electron-Electron Interactions in Isolated and Realistic Quantum Dots: A Density Functional Theory Study
- Interaction-induced chaos in a two-electron quantum-dot system
- Suppression of quantum chaos in a quantum computer hardware
- Many-body spectral statistics of interacting Fermions
- Interactions and Broken Time-Reversal Symmetry in Chaotic Quantum Dots