Stephane Ouvry - Profile on Academia.edu (original) (raw)
Papers by Stephane Ouvry
Phys Rev Lett, Apr 25, 1994
Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement oper... more Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement operator is regularized by means of zeta function. Instead of piecewise constant persistent current of free electrons on the plane one has a current which varies linearly with the flux and is antisymmetric with regard to all time preserving values of alpha\alphaalpha including 1/21/21/2. Different self-adjoint extensions of the problem and role of the resonance are discussed.
Comment on "Relation between Persistent Currents and the Scattering Matrix
Physical Review Letters, 1995
Nuclear Physics B, 1995
We address the problem of multispecies anyons, i.e. particles of different species whose wave fun... more We address the problem of multispecies anyons, i.e. particles of different species whose wave function is subject to anyonlike conditions. The cluster and virial coefficients are considered. Special attention is paid to the case of anyons in the lowest Landau level of a strong magnetic field, when it is possible (i) to prove microscopically the equation of state, in particular in terms of Aharonov-Bohm charge-flux composite systems, and (ii) to formulate the problem in terms of single-state statistical distributions.
Nuclear Physics B, 2007
An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is c... more An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is considered. For a given number of particles in a given angular momentum sector, any energy level can be obtained exactly by means of diagonalizing a finite matrix: they are roots of algebraic equations. A complete solution of the three-body problem is presented, some general properties of the N-body spectrum are pointed out, and a number of novel exact analytic eigenstates are obtained. The FQHE N-fermion model with Laplacian-delta interactions is also considered along the same lines of analysis. New exact eigenstates are proposed, along with the Slater determinant, whose eigenvalues are shown to be related to Catalan numbers.
Journal of Statistical Physics, 2009
The statistical curse of the second half-rank
Journal of Statistical Mechanics: Theory and Experiment, 2011
Journal of Physics A: Mathematical and Theoretical, 2009
We consider the one-dimensional Lieb-Liniger model (bosons interacting via 2-body delta potential... more We consider the one-dimensional Lieb-Liniger model (bosons interacting via 2-body delta potentials) in the infinite coupling constant limit (the so-called Tonks-Girardeau model). This model might be relevant as a description of atomic Bose gases confined in a one-dimensional geometry. It is known to have a fermionic spectrum since the N -body wavefunctions have to vanish at coinciding points, and therefore be symmetrizations of fermionic Slater wavefunctions. We argue that in the infinite coupling constant limit the model is indistinguishable from free fermions, i.e., all physically accessible observables are the same as those of free fermions. Therefore, Bose-Einstein condensate experiments at finite energy that preserve the one-dimensional geometry cannot test any bosonic characteristic of such a model. PACS numbers: 03.65.-w, 05.30.Pr, 05.30.Jp Statistics in one dimension and the hard-core boson model: The Lieb-Liniger model of interacting particles on the line is defined as [1]
Journal of Physics A: Mathematical and General, 2002
The projection of a two dimensional planar system on the higher Landau levels of an external magn... more The projection of a two dimensional planar system on the higher Landau levels of an external magnetic field is formulated in the language of the non commutative plane and leads to a new class of star products.
Phys Rev Lett, Apr 25, 1994
Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement oper... more Predictions of Akkermans et al. are essentially changed when the Krein spectral displacement operator is regularized by means of zeta function. Instead of piecewise constant persistent current of free electrons on the plane one has a current which varies linearly with the flux and is antisymmetric with regard to all time preserving values of alpha\alphaalpha including 1/21/21/2. Different self-adjoint extensions of the problem and role of the resonance are discussed.
Comment on "Relation between Persistent Currents and the Scattering Matrix
Physical Review Letters, 1995
Nuclear Physics B, 1995
We address the problem of multispecies anyons, i.e. particles of different species whose wave fun... more We address the problem of multispecies anyons, i.e. particles of different species whose wave function is subject to anyonlike conditions. The cluster and virial coefficients are considered. Special attention is paid to the case of anyons in the lowest Landau level of a strong magnetic field, when it is possible (i) to prove microscopically the equation of state, in particular in terms of Aharonov-Bohm charge-flux composite systems, and (ii) to formulate the problem in terms of single-state statistical distributions.
Nuclear Physics B, 2007
An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is c... more An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is considered. For a given number of particles in a given angular momentum sector, any energy level can be obtained exactly by means of diagonalizing a finite matrix: they are roots of algebraic equations. A complete solution of the three-body problem is presented, some general properties of the N-body spectrum are pointed out, and a number of novel exact analytic eigenstates are obtained. The FQHE N-fermion model with Laplacian-delta interactions is also considered along the same lines of analysis. New exact eigenstates are proposed, along with the Slater determinant, whose eigenvalues are shown to be related to Catalan numbers.
Journal of Statistical Physics, 2009
The statistical curse of the second half-rank
Journal of Statistical Mechanics: Theory and Experiment, 2011
Journal of Physics A: Mathematical and Theoretical, 2009
We consider the one-dimensional Lieb-Liniger model (bosons interacting via 2-body delta potential... more We consider the one-dimensional Lieb-Liniger model (bosons interacting via 2-body delta potentials) in the infinite coupling constant limit (the so-called Tonks-Girardeau model). This model might be relevant as a description of atomic Bose gases confined in a one-dimensional geometry. It is known to have a fermionic spectrum since the N -body wavefunctions have to vanish at coinciding points, and therefore be symmetrizations of fermionic Slater wavefunctions. We argue that in the infinite coupling constant limit the model is indistinguishable from free fermions, i.e., all physically accessible observables are the same as those of free fermions. Therefore, Bose-Einstein condensate experiments at finite energy that preserve the one-dimensional geometry cannot test any bosonic characteristic of such a model. PACS numbers: 03.65.-w, 05.30.Pr, 05.30.Jp Statistics in one dimension and the hard-core boson model: The Lieb-Liniger model of interacting particles on the line is defined as [1]
Journal of Physics A: Mathematical and General, 2002
The projection of a two dimensional planar system on the higher Landau levels of an external magn... more The projection of a two dimensional planar system on the higher Landau levels of an external magnetic field is formulated in the language of the non commutative plane and leads to a new class of star products.