Entanglement and localization transitions in eigenstates of interacting chaotic systems
arXiv:1601.07061 · doi:10.1103/PhysRevE.94.010205
Abstract
The entanglement and localization in eigenstates of strongly chaotic subsystems are studied as a function of their interaction strength. Excellent measures for this purpose are the von-Neumann entropy, Havrda-Charv{\' a}t-Tsallis entropies, and the averaged inverse participation ratio. All the entropies are shown to follow a remarkably simple exponential form, which describes a universal and rapid transition to nearly maximal entanglement for increasing interaction strength. An unexpectedly exact relationship between the subsystem averaged inverse participation ratio and purity is derived that infers the transition in the localization as well.
References in corpus (4)
- Ergodic dynamics and thermalization in an isolated quantum system
- Entanglement production in coupled chaotic systems : Case of the Kicked Tops
- Generalized entanglement as a framework for complex quantum systems: Purity vs delocalization measures
- Universal scaling of spectral fluctuation transitions for interacting chaotic systems
Cited by in corpus (21)
- Entangling power of time-evolution operators in integrable and nonintegrable many-body systems
- Scrambling in strongly chaotic weakly coupled bipartite systems: Universality beyond the Ehrenfest time-scale
- Transition from Quantum Chaos to Localization in Spin Chains
- Entanglement measures of bipartite quantum gates and their thermalization under arbitrary interaction strength
- Quantum signatures of chaos, thermalization and tunneling in the exactly solvable few body kicked top
- Quantum chaos, thermalization and tunneling in an exactly solvable few body system
- Tsallis thermostatics as a statistical physics of random chains
- Eigenstate entanglement between quantum chaotic subsystems: universal transitions and power laws in the entanglement spectrum
- Smallest eigenvalue density for regular or fixed-trace complex Wishart-Laguerre ensemble and entanglement in coupled kicked tops
- Ordered level spacing probability densities
- Entanglement in coupled kicked tops with chaotic dynamics
- Entanglement production by interaction quenches of quantum chaotic subsystems
- Estimation of entanglement in bipartite systems directly from tomograms
- Linear and logarithmic entanglement production in an interacting chaotic system
- Quantum coherence controls the nature of equilibration in coupled chaotic systems
- Tensor product random matrix theory
- Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence
- Entanglement dynamics and eigenstate correlations in strongly disordered quantum many-body systems
- Partial projected ensembles and spatiotemporal structure of information scrambling
- Ordered Level Spacing Distribution in Embedded Random Matrix Ensembles
- Dynamics of wavepackets and entanglement in many-body kicked rotors under quantum resonance