Collective versus Single--Particle Motion in Quantum Many--Body Systems: Spreading and its Semiclassical Interpretation

Abstract

We study the interplay between collective and incoherent single-particle motion in a model of two chains of particles whose interaction comprises a non-integrable part. In the perturbative regime, but for a general form of the interaction, we calculate the spectral density for collective excitations. We obtain the remarkable result that it always has a unique semiclassical interpretation. We show this by a proper renormalization procedure which allows us to map our system to a Caldeira-Leggett--type of model in which the bath is part of the system.

4 pages

References in corpus (4)

• Vortex formation in a stirred Bose-Einstein condensate
• Observation of the scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
• Periodic-Orbit Theory of Level Correlations
• Universal vortex formation in rotating traps with bosons and fermions

Cited by in corpus (7)

• Particle-Time Duality in the Kicked Ising Chain II: Applications to the Spectrum
• Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator
• Semiclassical Identification of Periodic Orbits in a Quantum Many-Body System
• Transition from Quantum Chaos to Localization in Spin Chains
• Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials
• Collectivity and Periodic Orbits in a Chain of Interacting, Kicked Spins
• Ensemble-averaged mean-field many-body level density: an indicator of integrable versus chaotic single-particle dynamics