Bloch oscillations of Bose-Einstein condensates: Quantum counterpart of dynamical instability

Abstract

We study the Bloch dynamics of a quasi one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type: The corresponding mean-field system described by a discrete nonlinear Schrödinger equation can show a dynamical (or modulation) instability due to chaotic dynamics and equipartition over the quasimomentum modes. It is shown, that these phenomena are related to a depletion of the Floquet-Bogoliubov states and a decoherence of the condensate in the many-particle description. Three different types of dynamics are distinguished: (i) decaying oscillations in the region of dynamical instability, and (ii) persisting Bloch oscillations or (iii) periodic decay and revivals in the region of stability.

12 pages, 14 figures

References in corpus (12)

• Control of Interaction-Induced Dephasing of Bloch Oscillations
• Atom interferometry with a weakly-interacting Bose Einstein condensate
• Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement
• Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
• Commutability between Semiclassical Limit and Adiabatic Limit
• Semiclassical approach to Bose-Einstein condensates in a triple well potential
• Semiclassical quantization of an N-particle Bose-Hubbard model
• Nonlinearity induced destruction of resonant tunneling in the Wannier-Stark problem
• Quasi-energies and Floquet states of two weakly coupled Bose-Einstein condensates under periodic driving
• Semiclassical quantization of the Bogoliubov spectrum
• Kicked Bose-Hubbard systems and kicked tops -- destruction and stimulation of tunneling
• Persistent current of atoms in a ring optical lattice

Cited by in corpus (44)

• Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
• Entangling many-body bound states with propagative modes in Bose-Hubbard systems
• Topological instabilities in ac-driven bosonic systems
• Bose-Einstein condensates on tilted lattices: coherent, chaotic and subdiffusive dynamics
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Transient dynamics of a one-dimensional Holstein polaron under the influence of an external electric field
• Bose-Hubbard Hamiltonian: Quantum Chaos approach
• Superfluidity and Chaos in low dimensional circuits
• Atomic matter-wave revivals with definite atom number in an optical lattice
• Quantum signatures of self-trapping transition in attractive lattice bosons
• Sauter-Schwinger like tunneling in tilted Bose-Hubbard lattices in the Mott phase
• Bloch Oscillations of an Exciton-polariton Bose-Einstein Condensate
• Quantum dynamics of Bose-Einstein condensates in tilted and driven bichromatic optical lattices
• Cyclotron-Bloch dynamics of a quantum particle in a 2D lattice
• Non-destructive monitoring of Bloch oscillations in an optical cavity
• Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations
• Bright solitons and self-trapping with a BEC of cold atoms in driven tilted optical lattices
• Superfluidity in Bose-Hubbard circuits
• The open Bose-Hubbard chain: Pseudoclassical approach
• Bloch oscillations and quench dynamics of interacting bosons in an optical lattice
• A continuous-variable approach to the spectral properties and quantum states of the two-component Bose-Hubbard dimer
• Simulating Dirac models with ultracold atoms in optical lattices
• Probing Quantum Chaos in many-body quantum systems by the induced dissipation
• Quench-induced dynamical phase transitions and $\pi$-synchronization in the Bose-Hubbard Model
• Superfluid Bloch dynamics in an incommensurate lattice
• Nonlinear dynamics and band transport in a superlattice driven by a plane wave
• Cyclotron-Bloch dynamics of a quantum particle in a two-dimensional lattice II
• On quantum phase transitions in tilted 2D lattices
• Chaos-induced depletion of a Bose-Einstein condensate
• Instabilities of a matter wave in a matter grating
• Loop current states and their stability in small fractal lattices of Bose-Einstein condensates
• Emergence of nonlinear behavior in the dynamics of ultracold bosons
• Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
• Engineering of Landau-Zener tunneling
• Dynamics of non-Hermitian Floquet Wannier-Stark system
• Nonadiabatic quantum chaos in atom optics
• Chaotic and regular dynamics in the three-site Bose-Hubbard model
• Bifurcation trees of Stark-Wannier ladders for accelerated BECs in an optical lattice
• Bloch oscillations in a Bose-Hubbard chain with single-particle losses
• Synthetic mean-field interactions in photonic lattices
• Instability of Bose-Einstein condensates in tilted lattices with time-periodical modulation
• Decay of symmetry-protected quantum states
• Characterization of the chaotic phase in the tilted Bose-Hubbard model
• Cold Atoms in Driven Optical Lattices