Monodromy and chaos for condensed bosons in optical lattices

Abstract

We introduce a theory for the stability of a condensate in an optical lattice. We show that the understanding of the stability-to-ergodicity transition involves the fusion of monodromy and chaos theory. Specifically, the condensate can decay if a connected chaotic pathway to depletion is formed, which requires swap of seperatrices in phase-space.

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Relaxation dynamics in the merging of $N$ independent condensates
• Macroscopic superpositions of superfluid flows
• Minimal Fokker-Planck theory for the thermalization of mesoscopic subsystems
• Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
• Monodromy in Dicke superradiance
• Superfluidity in Bose-Hubbard circuits
• Defect in the Joint Spectrum of Hydrogen due to Monodromy

Cited by in corpus (9)

• Thermalization and its Breakdown for a Large Nonlinear Spin
• Effects of a rotating periodic lattice on coherent quantum states in a ring topology: The case of positive nonlinearity
• Quasistatic transfer protocols for atomtronic superfluid circuits
• Quantum irreversibility of quasistatic protocols for finite-size quantized systems
• Chaos onset in large rings of Bose-Einstein condensates
• Quantum tomography of the superfluid-insulator transition for a mesoscopic atomtronic ring
• Metastability, chaos and spectrum tomography for Bose-Hubbard rings and chains
• An introduction to classical monodromy: applications to molecules in external fields
• Stochastic modeling of spreading and dissipation in mixed-chaotic systems that are driven quasistatically