Publications (11)
Random matrix theory of integrability-to-chaos transition
Ben Craps, Marine De Clerck, Oleg Evnin +1
The statistics of gaps between quantum energy levels is a hallmark criterion in quantum chaos and quantum integrability studies. The relevant distributions corresponding to exactly…
Bounds on quantum evolution complexity via lattice cryptography
Ben Craps, Marine De Clerck, Oleg Evnin +2
We address the difference between integrable and chaotic motion in quantum theory as manifested by the complexity of the corresponding evolution operators. Complexity is understood…
Gurevich-Zybin system
Maxim Pavlov
We present three different linearizable extensions of the Gurevich-Zybin system. Their general solutions are found by reciprocal transformations. In this paper we rewrite the Gurev…
The Calogero equation and Liouville type equations
Maxim Pavlov
In this paper we present a two-component generalization of the C-integrable Calogero equation (see [1]). This system is C-integrable as well, and moreover we show that the Calogero…
Description of compatible differential-geometric Poisson brackets of the first order
Maxim Pavlov
Compatible local differential-geometric Poisson brackets of the first order (Dubrovin-Novikov type) are classified by solutions of modified Sinh-Gordon equation. It was proved by E…
Phase-space localization at the lowest Landau level
Ben Craps, Marine De Clerck, Oleg Evnin +1
We consider bosons with weak contact interactions in a harmonic trap and focus on states at the lowest Landau level. Motivated by the known nontrivial phase-space topography of the…
On Equation for Initial Values in Theory of the Second Order Ordinary Differential Equations
Valerii S. Dryuma, Maxim Pavlov
We consider the properties of the second order nonlinear differential equations b''= g(a,b,b') with the function g(a,b,b'=c) satisfying the following nonlinear partial differential…
The Boussinesq equation and Miura type transformations
Maxim Pavlov
A direct method for calculation of Miura type transformations via LA pair is used for the Boussinesq equation. Quadratic Miura type transformations connected with local weakly-nonl…
Area terms and entanglement entropy in the string theory
Ben Craps, Marius Gerbershagen, Maxim Pavlov +1
We study entanglement entropy in the low-energy effective field theory of two-dimensional string theory as well as in the singlet sector of the dual matrix quantum mechanics.…
Stability of shear shallow water flows with free surface
Alexander Chesnokov, Gennady El, Sergey Gavrilyuk +1
Stability of inviscid shear shallow water flows with free surface is studied in the framework of the Benney equations. This is done by investigating the generalized hyperbolicity o…
Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems
Wen-Xiu Ma, Maxim Pavlov
An analysis of extension of Hamiltonian operators from lower order to higher order of matrix paves a way for constructing Hamiltonian pairs which may result in hereditary operators…