Non-equilibrium dynamics in Bose-Hubbard ladders

Abstract

Motivated by a recent experiment on the non-equilibrium dynamics of interacting bosons in ladder-shaped optical lattices, we report exact calculations on the sweep dynamics of Bose-Hubbard systems in finite two-leg ladders. The sweep changes the energy bias between the legs linearly over a finite time. As in the experiment, we study the cases of [a] the bosons initially all in the lower-energy leg (ground state sweep) and [b] the bosons initially all in the higher-energy leg (inverse sweep). The approach to adiabaticity in the inverse sweep is intricate, as the transfer of bosons is non-monotonic as a function of both sweep time and intra-leg tunnel coupling. Our exact study provides explanations for these non-monotonicities based on features of the full spectrum, without appealing to concepts (e.g., gapless excitation spectrum) that are more appropriate for the thermodynamic limit. We also demonstrate and study Stueckelberg oscillations in the finite-size ladders.

8 pages, 10 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Nonequilibrium dynamics of closed interacting quantum systems
• Quantum Quench of an Atomic Mott Insulator
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Commutability between Semiclassical Limit and Adiabatic Limit
• Quantum phases of bosons in double-well optical lattices
• Semiclassical quantization of an N-particle Bose-Hubbard model
• Landau-Zener sweeps and sudden quenches in coupled Bose-Hubbard chains
• Impurity in a Bose-Einstein condensate in a double well
• Phase diagram of Landau-Zener phenomena in coupled one-dimensional Bose quantum fluids

Cited by in corpus (11)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Solvable multistate model of Landau-Zener transitions in cavity QED
• Constraints on scattering amplitudes in multistate Landau-Zener theory
• Exact transition probabilities in a six-state Landau-Zener system with path interference
• Landau-Zener-Stückelberg Interferometry in $\mathcal{P}\mathcal{T}$-symmetric Non-Hermitian models
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• Cluster Gutzwiller study of Bose-Hubbard ladder: ground-state phase diagram and many-body Landau-Zener dynamics
• Fine structures in the spectrum of the open-boundary Heisenberg chain at large anisotropies
• Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder
• Exact transition probabilities for a linear sweep through a Kramers-Kronig resonance
• Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder