Documents  82C10 | enregistrements trouvés : 20

- 123 p.
ISBN 978-0-8218-3891-4

Contemporary mathematics , 0409

Localisation : Collection 1er étage

équation différentielle aux dérivées partielles # EDP # comportement asymptotique des solutions # EDP non linéaire de type parabollique # problème variationnel # intéraction fluide-solide # dynamique quantique

35B37 ; 35B40 ; 35K55 ; 49Q20 ; 74F10 ; 82C10

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- x; 202 p.
ISBN 978-0-8218-5247-7

Contemporary mathematics , 0529

Localisation : Collection 1er étage

entropie quantique # mécanique quantique # stabilité de la matière # inégalités analytiques # théorie de l'information quantique # limite de Shandrasekhar # masse stellaire

15A90 ; 47A63 ; 81Q10 ; 81Q15 ; 81V17 ; 82C10 ; 82C20 ; 94A40 ; 81-06 ; 00B25

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- viii; 224 p.
ISBN 978-0-8218-6898-0

Contemporary mathematics , 0552

Localisation : Collection 1er étage

entropie quantique # inégalités isopérimétrique # laplacien # équation de Kac Master

35Q20 ; 60B12 ; 60K35 ; 81Q10 ; 82B10 ; 82B44 ; 82C10 ; 82C40 ; 35P15 ; 82-06

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- x; 229 p.
ISBN 978-981-4317-43-6

Localisation : Colloque 1er étage (LADE)

dynamique quantique # informatique quantique # mécanique quantique

82C10 ; 81Sxx

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Research talks;Partial Differential Equations;Mathematical Physics

We will discuss the convergence (in the semiclassical limit) of a solution to the Hartree-Fock equation towards an operator, whose Wigner transform is a solution to the Vlasov equation. We will consider both cases of positive and zero temperature. The results we will present are part of a project in collaboration with N. Benedikter, M. Porta and B. Schlein.

82C22 ; 82C10 ; 35Q40 ; 35Q55

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Research talks;Mathematical Physics

In this talk, I will consider a quantum particle interacting with a target. The target is supposed to be localized and the dynamics of the particle is supposed to be generated by a Lindbladian acting on the space of trace class operators. I will discuss scattering theory for such models associated to a Lindblad operator. First, I will consider situations where the incident particle is necessarily scattered off the target, next situations where the particle may be captured by the target. An important ingredient of the analysis consists in studying scattering theory for dissipative operators on Hilbert spaces.
This is joint work with Marco Falconi, Juerg Froehlich and Baptiste Schubnel. In this talk, I will consider a quantum particle interacting with a target. The target is supposed to be localized and the dynamics of the particle is supposed to be generated by a Lindbladian acting on the space of trace class operators. I will discuss scattering theory for such models associated to a Lindblad operator. First, I will consider situations where the incident particle is necessarily scattered off the target, next situations where ...

47A40 ; 47N50 ; 82C10

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Research talks;Mathematical Physics

We consider a general network of harmonic oscillators driven out of thermal equilibrium by coupling to several heat reservoirs at different temperatures. The action of the reservoirs is implemented by Langevin forces. Assuming the existence and uniqueness of the steady state of the resulting process, we construct a canonical entropy production functional $S(t)$ which satisfies the Gallavotti-Cohen fluctuation theorem. More precisely, we prove that cumulant generating function of $S(t)$ has a large-time limit $e(a)$ which is finite on a closed interval centered at $a=1/2$, infinite on its complement and satisfies the Gallavotti-Cohen symmetry $e(1-a)=e(a)$ for all $a$. It follows from well known results that $S(t)$ satisfies a global large deviation principle with a rate function $I(s)$ obeying the Gallavotti-Cohen fluctuation relation $I(-s)-I(s)=s$ for all $s$. We also consider perturbations of $S(t)$ by quadratic boundary terms and prove that they satisfy extended fluctuation relations, i.e., a global large deviation principle with a rate function that typically differs from $I(s)$ outside a finite interval. This applies to various physically relevant functionals and, in particular, to the heat dissipation rate of the network. Our approach relies on the properties of the maximal solution of a one-parameter family of algebraic matrix Ricatti equations. It turns out that the limiting cumulant generating functions of $S(t)$ and its perturbations can be computed in terms of spectral data of a Hamiltonian matrix depending on the harmonic potential of the network and the parameters of the Langevin reservoirs. This makes our approach well adapted to both analytical and numerical investigations. This is joint work with Vojkan Jaksic and Armen Shirikyan. We consider a general network of harmonic oscillators driven out of thermal equilibrium by coupling to several heat reservoirs at different temperatures. The action of the reservoirs is implemented by Langevin forces. Assuming the existence and uniqueness of the steady state of the resulting process, we construct a canonical entropy production functional $S(t)$ which satisfies the Gallavotti-Cohen fluctuation theorem. More precisely, we prove ...

82C10 ; 82C70

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Research talks

Photonic quantum systems, which comprise multiple optical modes, have become an established platform for the experimental implementation of quantum walks. However, the implementation of large systems with many modes, this means for many step operations, a high and dynamic control of many different coin operations and variable graph structures typically poses a considerable challenge.
Time-multiplexed quantum walks are a versatile tool for the implementation of a highly flexible simulation platform with dynamic control of the different graph structures and propagation properties. Our time-multiplexing techniques is based on a loop geometry ensures a extremely high homogeneity of the quantum walk system, which results in highly reliable walk statistics. By introducing optical modulators we can control the dynamics of the photonic walks as well as input and output couplings of the states at different stages during the evolution of the walk.
Here we present our recent results on our time-multiplexed quantum walk experiments. Photonic quantum systems, which comprise multiple optical modes, have become an established platform for the experimental implementation of quantum walks. However, the implementation of large systems with many modes, this means for many step operations, a high and dynamic control of many different coin operations and variable graph structures typically poses a considerable challenge.
Time-multiplexed quantum walks are a versatile tool for the ...

82C10

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- 194 p.
ISBN 978-0-8218-4104-4

Advances in soviet mathematics , 0005

Localisation : Collection 1er étage

matrice valuée # opérateur de Schrödinger # physique des particules # système hamiltonien

47G10 ; 81T13 ; 81U10 ; 82B20 ; 82C10

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- 303 p.

Localisation : Ouvrage RdC (BRIC)

algèbre de tenseur # analy se de Fourier # calcul des variations # calcul matriciel # fonction de Green # fonction orthogonale # introduction électromagnétique # microénergétiqu e # optique géométrique # physique atomique # polynome de Legendre # s tatistique quantique # théorie des invariants # théorie électromagnétique # tranformation canonique # équation différentielle

42-XX ; 42C05 ; 42C10 ; 82B10 ; 82C10

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- 404 p.

Recueil des conférences-rapports de documentation sur la physique , 0018

Localisation : Réserve

Loi de Wien # combinatoire # loi de Kirchoff # loi de Stefan # mécanique statistique # physique atomique # problème de Stefan # solide # statistique quantique

05Axx ; 82-XX ; 82B10 ; 82C10 ; 82D20

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ISBN 978-2-7296-0284-0

Localisation : Ouvrage RdC (C)

algèbre de Von Neumann # dynamique quantique # géométrie différentielle non commutative # k-théorie # mécanique # pavage # statistique hors équilibre # théorie cohomologique # théorie de Yang Mills # théorie de jauge

05B45 ; 14Fxx ; 46Lxx ; 81T13 ; 82C10

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- 223 p.

Traité du calcul des probabilités et de ses applications

Localisation : Ouvrage RdC (PERR)

mécanique continue aléatoire # mécanique statistique quantique # principe de Nernst # statistique quantique des systèmes indiscernables

73Bxx ; 82-XX ; 82B10 ; 82B30 ; 82C10

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- 483 p.
ISBN 978-981-02-3764-6

Localisation : Ouvrage RdC (KADA)

dynamique # dynamique aléatoire # hydrodynamique # moment # mécanique quantique # mécanique statistique # phase de transition # physique statistique # point critique # renormalisation # renormalisation de dimension un # système désordonné # technique de renormalisation d

82-02 ; 82Bxx ; 82C05 ; 82C10 ; 82C26 ; 82C27 ; 82C35 ; 82C41 ; 82C44 ; 82Cxx

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- 185 p.
ISBN 978-90-5867-330-5

Leuven notes in mathematical and theoretical physics series A , 0010

Localisation : Ouvrage RdC (ZAGR)

47D06 ; 47N55 ; 82C10

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- 203 p.
ISBN 978-3-7643-7336-8

Oberwolfach seminars , 0034

Localisation : Ouvrages RdC (Math)

mécanique statistique # équilibre quantique en mécanique statistique # système de plusieurs corps # théorie quantique # superfluide # gaz de Bose # inégalité de Poincaré # condensation de Bose-Einstein # équation de Gross-Pitaevskii

82B10 ; 82-02 ; 81V70 ; 81-02 ; 82C10 ; 82D50

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- 310 p.
ISBN 978-3-540-30993-2

Lecture notes in mathematics , 1882

Localisation : Collection 1er étage

Systéme ouvert # système quantique physique # propriété de non-équilibre # règle d'or de Fermi # limite à couplage faible # irréversibilité quantique # décohérence # comportement qualitatif des semigroupes de Markov quantiques # mesure quantique continue

37A60 ; 37A30 ; 47A05 ; 47D06 ; 47L30 ; 47L90 ; 60H10 ; 60J25 ; 81Q10 ; 81S25 ; 82C10 ; 82C70

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- 239 p.
ISBN 978-3-540-30992-5

Lecture notes in mathematics , 1881

Localisation : Collection 1er étage

système ouvert # systéme quantique physique # processus de Markov # équation différentielle stochastique # formalisme markovien

37A60 ; 37A30 ; 47A05 ; 47D06 ; 47L30 ; 47L90 ; 60H10 ; 60J25 ; 81Q10 ; 81S25 ; 82C10 ; 82C70

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- 329 p.
ISBN 978-3-540-30991-8

Lecture notes in mathematics , 1880

Localisation : Collection 1er étage

système ouvert # système quantique physique # mécanique statistique quantique # analyse spectrale # théorie modulaire # système dynamique quantique

37A60 ; 37A30 ; 47A05 ; 47D06 ; 47L30 ; 47L90 ; 60H10 ; 60J25 ; 81Q10 ; 81S25 ; 82C10 ; 82C70

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