One-Dimensional Quench Dynamics in an Optical Lattice: sine-Gordon and Bose-Hubbard Descriptions
arXiv:2411.06507 · doi:10.1103/PhysRevA.111.013315
Abstract
We investigate the dynamics of one-dimensional interacting bosons in an optical lattice after a sudden quench in the Bose-Hubbard (BH) and sine-Gordon (SG) regimes. While in higher dimension, the Mott-superfluid phase transition is observed for weakly interacting bosons in deep lattices, in 1D an instability is generated also for shallow lattices with a commensurate periodic potential pinning the atoms to the Mott state through a transition described by the SG model. The present work aims at identifying the SG and BH regimes. We study them by dynamical measures of several key quantities. We numerically exactly solve the time dependent Schrödinger equation for small number of atoms and investigate the corresponding quantum many-body dynamics. In both cases, correlation dynamics exhibits collapse revival phenomena, though with different time scales. We argue that the dynamical fragmentation is a convenient quantity to distinguish the dynamics specially near the pinning zone. To understand the relaxation process we measure the many-body information entropy. BH dynamics clearly establishes the possible relaxation to the maximum entropy state determined by the Gaussian orthogonal ensemble of random matrices (GOE). In contrast, the SG dynamics is so fast that it does not exhibit any signature of relaxation in the present time scale of computation.
11 pages, 10 figures
References in corpus (15)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Thermalization and its mechanism for generic isolated quantum systems
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
- Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
- General variational many-body theory with complete self-consistency for trapped bosonic systems
- Exact quantum dynamics of bosons with finite-range time-dependent interactions of harmonic type
- Self-consistent many-body metrology
- Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
- Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment
- Dynamics of order-disorder and complexity for interacting bosons in optical lattice
- Out of equilibrium many-body expansion dynamics of strongly interacting bosons
- Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems