Measuring the Lyapunov exponent using quantum mechanics

FM Cucchietti, CH Lewenkopf, ER Mucciolo… - Physical Review E, 2002 - APS
We study the time evolution of two wave packets prepared at the same initial state, but
evolving under slightly different Hamiltonians. For chaotic systems, we determine the …

Signatures of spin pairing in chaotic quantum dots

S Lüscher, T Heinzel, K Ensslin, W Wegscheider… - Physical review …, 2001 - APS
Coulomb blockade resonances are measured in a GaAs quantum dot in which both shape
deformations and interactions are small. The parametric evolution of the Coulomb blockade …

Interactions in chaotic nanoparticles: Fluctuations in Coulomb blockade peak spacings

D Ullmo, HU Baranger - Physical Review B, 2001 - APS
We use random matrix models and a Fermi-liquid approach to investigate the ground state
energy of electrons confined to a nanoparticle. Our expression for the energy includes the …

Semiclassical density functional theory: Strutinsky energy corrections in quantum dots

D Ullmo, T Nagano, S Tomsovic, HU Baranger - Physical Review B, 2001 - APS
We develop a semiclassical density functional theory in the context of quantum dots.
Coulomb blockade conductance oscillations have been measured in several experiments …

Coherent versus sequential electron tunneling in quantum dots

LEF Foa Torres, CH Lewenkopf, HM Pastawski - Physical review letters, 2003 - APS
Manifestations of quantum coherence in the electronic conductance through nearly closed
quantum dots in the Coulomb-blockade regime are addressed. We show that quantum …

Coulomb-blockade peak-spacing distribution: Interplay of temperature and spin

G Usaj, HU Baranger - Physical Review B, 2001 - APS
We calculate the Coulomb-blockade peak-spacing distribution at finite temperature using
the recently introduced “universal Hamiltonian” to describe the e− e interactions. We show …

Spin and interactions in quantum dots: Leading order corrections to universality and temperature effects

G Usaj, HU Baranger - Physical Review B, 2002 - APS
We study the statistics of the spacing between Coulomb blockade conductance peaks in
quantum dots with large dimensionless conductance g. Our starting point is the “universal …

Semiclassical theory of Coulomb blockade peak heights in chaotic quantum dots

EE Narimanov, HU Baranger, NR Cerruti, S Tomsovic - Physical Review B, 2001 - APS
We develop a semiclassical theory of Coulomb blockade peak heights in chaotic quantum
dots. Using Berry's conjecture, we calculate peak height distributions and correlation …

Quantum-dot ground-state energies and spin polarizations: Soft versus hard chaos

D Ullmo, T Nagano, S Tomsovic - Physical review letters, 2003 - APS
We consider how the nature of the dynamics affects ground state properties of ballistic
quantum dots. We find that “mesoscopic Stoner fluctuations” that arise from the residual …

Semiclassical spatial correlations in chaotic wave functions

F Toscano, CH Lewenkopf - Physical Review E, 2002 - APS
We study the spatial autocorrelation of energy eigenfunctions ψ n (q) corresponding to
classically chaotic systems in the semiclassical regime. Our analysis is based on the Weyl …