F. Leyvraz
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View article: Liouville integrability may not be what you think
Liouville integrability may not be what you think Open
One path to solving for the motion of a mechanical system involves finding a sufficient number of conserved quantities. The Liouville–Arnol'd theorem states that this motion has a simple structure that can be described using action–angle v…
View article: Weyl channels for multipartite systems
Weyl channels for multipartite systems Open
Quantum channels, a subset of quantum maps, describe the unitary and non-unitary evolution of quantum systems. We study a generalization of the concept of Pauli maps to the case of multipartite high dimensional quantum systems through the …
View article: Dynamical properties of volume at the spread in the Bitcoin/USD market
Dynamical properties of volume at the spread in the Bitcoin/USD market Open
The study of order volumes in financial markets has shown that these display several non-trivial statistical properties. Most studies have been focused on the bulk properties of volume of incoming orders or of realized transactions rather …
View article: Pauli component erasing quantum channels
Pauli component erasing quantum channels Open
Decoherence of quantum systems is described by quantum channels. However, a complete understanding of such channels, especially in the multi-particle setting, is still an ongoing difficult task. We propose the family of quantum maps that p…
View article: Rate equation limit for a combinatorial solution of a stochastic aggregation model
Rate equation limit for a combinatorial solution of a stochastic aggregation model Open
In a recent series of papers, an exact combinatorial solution was claimed for a variant of the so-called Marcus--Lushnikov model of aggregation. In this model, a finite number of aggregates, are initially assumed to be present in the form …
View article: Time-dependent relations between gaps and returns in a Bitcoin order book
Time-dependent relations between gaps and returns in a Bitcoin order book Open
Several studies have shown that large changes in the returns of an asset are associated with the sized of the gaps present in the order book In general, these associations have been studied without explicitly considering the dynamics of ei…
View article: Time-dependent relations between gaps and returns in a Bitcoin order\n book
Time-dependent relations between gaps and returns in a Bitcoin order\n book Open
Several studies have shown that large changes in the returns of an asset are\nassociated with the sized of the gaps present in the order book In general,\nthese associations have been studied without explicitly considering the\ndynamics of…
View article: Hidden duality and accidental degeneracy in cycloacene and Möbius cycloacene
Hidden duality and accidental degeneracy in cycloacene and Möbius cycloacene Open
The accidental degeneracy appearing in cycloacenes as triplets and quadruplets is explained with the concept of segmentation, introduced here with the aim of describing the effective disconnection of π orbitals on these organic compounds. …
View article: Anomalous Floquet tunneling in uniaxially strained graphene
Anomalous Floquet tunneling in uniaxially strained graphene Open
The interplay of strain engineering and photon-assisted tunneling of\nelectrons in graphene is considered for giving rise to atypical transport\nphenomena. The combination of uniaxial strain and a time-periodic potential\nbarrier helps to …
View article: Exact asymptotic solution of an aggregation model with a bell-shaped distribution
Exact asymptotic solution of an aggregation model with a bell-shaped distribution Open
We present in a detailed manner the scaling theory of irreversible aggregation characterized by the set of reaction rates K(k,l)=1/k+1/l. In this case, it is possible to determine the behavior of large-size aggregates in the limit of large…
View article: Qualitative properties of systems of two complex homogeneous ODE’s: A connection to polygonal billiards
Qualitative properties of systems of two complex homogeneous ODE’s: A connection to polygonal billiards Open
A correspondence between the orbits of a system of two complex, homogeneous, polynomial ordinary differential equations with real coefficients and those of a polygonal billiard is displayed. This correspondence is general in the sense that…
View article: Hidden duality and accidental degeneracy in cycloacene and M\\"obius\n cycloacene
Hidden duality and accidental degeneracy in cycloacene and M\\"obius\n cycloacene Open
The accidental degeneracy appearing in cycloacenes as triplets and\nquadruplets is explained with the concept of segmentation, introduced here with\nthe aim of describing the effective disconnection of $\\pi$ orbitals on these\norganic com…
View article: Current vortices in aromatic carbon molecules
Current vortices in aromatic carbon molecules Open
International audience
View article: Electron Optics in Phosphorene pn Junctions: Negative Reflection and Anti-Super-Klein Tunneling
Electron Optics in Phosphorene pn Junctions: Negative Reflection and Anti-Super-Klein Tunneling Open
Ballistic electrons in phosphorene pn junctions show optical-like phenomena. Phosphorene is modeled by a tight-binding Hamiltonian that describes its electronic structure at low energies, where the electrons behave in the armchair directio…
View article: Current Vortices in Aromatic Carbon Molecules
Current Vortices in Aromatic Carbon Molecules Open
The local current flow through three small aromatic carbon molecules, namely benzene, naphthalene and anthracene, is studied. Applying density functional theory and the non-equilibrium Green’s function method for transport, we demonstrate …
View article: Current Vortices in Aromatic Carbon Molecules
Current Vortices in Aromatic Carbon Molecules Open
The local current flow through three small aromatic carbon molecules, namely benzene, naphthalene and anthracene, is studied. Applying density functional theory and the non-equilibrium Green’s function method for transport, we demonstrate …
View article: A Hamiltonian yielding damped motion in an homogeneous magnetic field: quantum treatment
A Hamiltonian yielding damped motion in an homogeneous magnetic field: quantum treatment Open
In earlier work, a Hamiltonian describing the classical motion of a particle moving in two dimensions under the combined influence of a perpendicular magnetic field and of a damping force proportional to the particle velocity, was indicate…
View article: Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction”
Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction” Open
As is well-known, any ordinary differential equation in one dimension can be cast as the Euler–Lagrange equation of an appropriate Lagrangian. Additionally, if the initial equation is autonomous, the Lagrangian can always be chosen to be t…
View article: Identifying long-term precursors of financial market crashes using correlation patterns
Identifying long-term precursors of financial market crashes using correlation patterns Open
The study of the critical dynamics in complex systems is always interesting yet challenging. Here, we choose financial market as an example of a complex system, and do a comparative analyses of two stock markets - the S&P 500 (USA) and Nik…
View article: Erratum: “An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families” [J. Math. Phys. 58, 072902 (2017)]
Erratum: “An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families” [J. Math. Phys. 58, 072902 (2017)] Open
First Page
View article: An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families
An approach for obtaining integrable Hamiltonians from Poisson-commuting polynomial families Open
We discuss a general approach permitting the identification of a broad class of sets of Poisson-commuting Hamiltonians, which are integrable in the sense of Liouville. It is shown that all such Hamiltonians can be solved explicitly by a se…
View article: Quantum estimation of unknown parameters
Quantum estimation of unknown parameters Open
We discuss the problem of finding the best measurement strategy for estimating the value of a quantum system parameter. In general the optimum quantum measurement, in the sense that it maximizes the quantum Fisher information and hence all…
View article: Correlation Matrix Spectra: A Tool for Detecting Non-apparent Correlations?
Correlation Matrix Spectra: A Tool for Detecting Non-apparent Correlations? Open
It has been shown that, if a model displays long-range (power-law) spatial correlations, its equal-time correlation matrix of this model will also have a power law tail in the distribution of its high-lying eigenvalues. The purpose of this…
View article: Ballistic annihilation with superimposed diffusion in one dimension
Ballistic annihilation with superimposed diffusion in one dimension Open
We consider a one-dimensional system with particles having either positive or negative velocity, and these particles annihilate on contact. Diffusion is superimposed on the ballistic motion of the particle. The annihilation may represent a…