105 citations · 242 across the 7 of their papers we have counts for
7 papers
Wigner crystal of a two-dimensional electron gas with a strong spin-orbit interaction
P. G. Silvestrov, O. Entin-Wohlman
The Wigner-crystal phase of two-dimensional electrons interacting via the Coulomb repulsion and subject to a strong Rashba spin-orbit coupling is investigated. For low enough elect…
Hypersensitivity to perturbations of quantum-chaotic wave-packet dynamics
P. G. Silvestrov, J. Tworzydlo, C. W. J. Beenakker
We re-examine the problem of the "Loschmidt echo", which measures the sensitivity to perturbation of quantum chaotic dynamics. The overlap squared of two wave packets evolvi…
Stretched Exponential Decay of a Quasiparticle in a Quantum Dot
P. G. Silvestrov
The decay of a quasiparticle in an isolated quantum dot is considered. At relatively small time the probability to find the system in the initial state decays exponentially: $P(t)\…
Spin Effects and Transport in Quantum Dots with overlapping Resonances
P. G. Silvestrov, Y. Imry
The role of spin is investigated in the transport through a quantum dot with two overlapping resonances (one having a width larger than the level separation and the other very narr…
Towards an Explanation of the Mesoscopic Double-Slit Experiment: a new model for charging of a Quantum Dot
P. G. Silvestrov, Y. Imry
For a quantum dot (QD) in the intermediate regime between integrable and fully chaotic, the widths of single-particle levels naturally differ by orders of magnitude. In particular,…
Statistics of random quasi 1D Hamiltonian with slowly varying parameters. Painlevé again.
P. G. Silvestrov
The statistics of random band--matrices with width and strength of the band slowly varying along the diagonal is considered. The Dyson equation for the averaged Green function clos…
Instanton -- Antiinstanton interaction and asymptotics of perturbation theory expansion in double well oscillator
S. V. Faleev, P. G. Silvestrov
Instanton -- antiinstanton pair is considered as a source of singularity at the Borel plane for the ground state energy of anharmonic oscillator. The problem of defining the short…