Spectral Correlation and Response functions in Quantum Dots

Abstract

We derive a general relation between correlators of density of states fluctuations and density response functions. It applies equally to quantum chaotic systems of pure symmetry (unitary, orthogonal, and symplectic) as well as to the crossover region between the universality classes. This relation is much more robust than Wigner-Dyson statistics; its validity extends to disordered metals with finite conductance and even to the Anderson insulators with large localization length.

4 pages, REVTeX3 + epsf, one EPS figure

References in corpus (2)

• Crossover Driven by Time-reversal Symmetry Breaking in Quantum Chaos
• Statistics of Oscillator Strengths in Chaotic Systems

Cited by in corpus (8)

• Quantum decoherence of interacting electrons in arrays of quantum dots and diffusive conductors
• Surprising relations between parametric level correlations and fidelity decay
• Weak localization in a system with a barrier: Dephasing and weak Coulomb blockade
• Spectral correlations in Anderson insulating wires
• Parametric correlations versus fidelity decay: the symmetry breaking case
• Fidelity and level correlations in the transition from regularity to chaos
• Spectral correlations in finite-size Anderson insulators
• Magnetotunneling spectroscopy of mesoscopic correlations in two-dimensional electron systems