118 citations · 457 across the 51 of their papers we have counts for
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Comment on "Thermodynamics of quantum crystalline membranes"
E. I. Kats, V. V. Lebedev
B. Amorim et al., (B.Amorim, R.Roldan, E.Cappelluti, A.Fasolino, F.Guinea, M.I.Katsnelson, Phys. Rev. B, v. 89, 224307 (2014)) reported the theoretical investigation of quantum cry…
Asymptotic freedom at zero temperature in crystalline membranes
E. I. Kats, V. V. Lebedev
We investigate effects of quantum (zero-temperature) long wavelength fluctuations of free standing crystalline membranes, that are two-dimensional objects embedded into three-dimen…
Loschmidt echo and stochastic-like quantum dynamics of nano-particles
V. A. Benderskii, L. A. Falkovsky, E. I. Kats
We investigate time evolution of prepared vibrational state (system) coupled to a reservoir with dense spectrum of its vibrational states. We assume that the reservoir has an equid…
Landau-Zener problem for energies close to potential crossing points
V. A. Benderskii, E. V. Vetoshkin, E. I. Kats
We examine one overlooked in previous investigations aspect of well - known Landau - Zener (LZ) problem, namely, the behavior in the intermediate, i.e. close to a crossing point, e…
Quasistationary states and coherent versus incoherent transitions for crossing diabatic potentials
V. A. Benderskii, E. V. Vetoshkin, E. I. Kats
We investigate coherent and incoherent tunneling phenomena in conditions of crossing diabatic potentials. We consider a model of two crossing parabolic diabatic potentials with an…
Semiclassical quantization of bound and quasi-stationary states beyond the adiabatic approximation
V. A. Benderskii, E. V. Vetoshkin, E. I. Kats
We examine one important (and overlooked in all previous investigations) aspect of well - known crossing diabatic potentials or Landau - Zener (LZ) problem. We derive the semiclass…