Manifestation of Classical Bifurcation in the Spectrum of the Integrable Quantum Dimer
- 4 March 1996
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 76 (10) , 1607-1610
- https://doi.org/10.1103/physrevlett.76.1607
Abstract
We analyze the classical and quantum properties of the integrable dimer problem. The classical version exhibits exactly one bifurcation in phase space, which gives birth to permutational symmetry broken trajectories and a separatrix. The quantum analysis yields all tunneling rates (splittings) in leading order of perturbation. In the semiclassical regime the eigenvalue spectrum obtained by numerically exact diagonalization allows to conclude about the presence of a separatrix and a bifurcation in the corresponding classical model.Keywords
All Related Versions
This publication has 4 references indexed in Scilit:
- Algebraic Approach to Simple Quantum SystemsPublished by Springer Nature ,1994
- Manifestations of classical phase space structures in quantum mechanicsPhysics Reports, 1993
- The quantum theory of local modes in a coupled system of nonlinear oscillatorsNonlinearity, 1990
- Chaos in Classical and Quantum MechanicsPublished by Springer Nature ,1990