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59 papers · 1 filter
The general 1D Schrödinger equation as an exactly solvable problem
André Voros
We review an exact WKB resolution method for the stationary 1D Schrödinger equation with a general polynomial potential. This contribution covers already published material: we sup…
Loewner Chains
Michel Bauer, Denis Bernard
These lecture notes on 2D growth processes are divided in two parts. The first part is a non-technical introduction to stochastic Loewner evolutions (SLEs). Their relationship with…
Supersolids versus phase separation in two-dimensional lattice bosons
Pinaki Sengupta, Leonid P. Pryadko, Fabien Alet +2
We study the nature of the ground state of the strongly-coupled two dimensional extended boson Hubbard model on a square lattice. We demonstrate that strong but finite on-site inte…
Dynamics of a quantum measurement
Armen E. Allahverdyan, Roger Balian, Theo M. Nieuwenhuizen
We work out an exactly solvable hamiltonian model which retains all the features of realistic quantum measurements. In order to use an interaction process involving a system and an…
Metastability in zero-temperature dynamics: Statistics of attractors
C. Godreche, J. M. Luck
The zero-temperature dynamics of simple models such as Ising ferromagnets provides, as an alternative to the mean-field situation, interesting examples of dynamical systems with ma…
Quantum Variance and Ergodicity for the baker's map
Mirko Degli Esposti, Stéphane Nonnenmacher, Brian Winn
We prove a Egorov theorem, or quantum-classical correspondence, for the quantised baker's map, valid up to the Ehrenfest time. This yields a logarithmic upper bound for the decay o…