Robust states of ultra-cold bosons in tilted optical lattices

2010/12/19 by Moritz Hiller, Hiller, Moritz, Hannah Venzl +10
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.48550/arxiv.1012.4167

15 pages, 6 figures, amended and revised manuscript

openalex publication_date 2010/12/19 · arxiv created 2012/03/21 · arxiv updated 2012/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We identify regular structures in the globally chaotic spectra of an interacting bosonic quantum gas in tilted periodic potentials. The associated eigenstates exhibit strong localization properties on the lattice, and are dynamically robust against external perturbations.

Citations

• Quantum Signatures of Breather-Breather Interactions
• Many-body physics with ultracold gases
• Tunneling couplings in discrete lattices, single-particle band structure, and eigenstates of interacting atom pairs
• Dynamics of Bose-Einstein condensates in optical lattices
• Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
• Wannier-Stark resonances in optical and semiconductor superlattices
• Repulsively bound atom pairs in an optical lattice
• A universal instability of many-dimensional oscillator systems

Related

• Effects of Interactions and Temperature in Disordered Ultra-Cold Bose Gases
• Quantum Phases of Ultra Cold Bosons in Incommensurate 1D Optical Lattices
• Characterization of the chaotic phase in the tilted Bose-Hubbard model
• Exact eigenstates with off-diagonal long-range order for interacting bosonic systems
• Chaotic dynamics of Bose-Einstein condensates in a tilted optical lattice