Correlation dynamics of dipolar bosons in 1D triple well optical lattice
arXiv:1905.02470 · doi:10.3390/sym11070909
Abstract
The concept of spontaneous symmetry breaking and off-diagonal long-range order (ODLRO) are associated with Bose-Einstein condensation. However, as in the system of reduced dimension the effect of quantum fluctuation is dominating, the concept of ODLRO becomes more interesting, especially for the long-range interaction. In the present manuscript, we study the correlation dynamics triggered by lattice depth quench in a system of three dipolar bosons in a 1D triple-well optical lattice from the first principle using the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). Our main motivation is to explore how ODLRO develops and decays with time when the system is brought out-of-equilibrium by a sudden change in the lattice depth. We compare results of dipolar bosons with contact interaction. For forward quench , the system exhibits the collapse-revival dynamics in the time evolution of normalized first- and second-order Glauber's correlation function, time evolution of Shannon information entropy both for the contact as well as for the dipolar interaction which is reminiscent of the one observed in Greiner's experiment [Nature, {415}, (2002)]. We define the collapse and revival time ratio as the figure of merit () which can uniquely distinguish the timescale of dynamics for dipolar interaction from that of contact interaction. In the reverse quench process , for dipolar interaction, the dynamics is complex and the system does not exhibit any definite time scale of evolution, whereas the system with contact interaction exhibits collapse-revival dynamics with a definite time-scale. The long-range repulsive tail in the dipolar interaction inhibits the spreading of correlation across the lattice sites.
15 pages, 12 color figures
References in corpus (20)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
- Reduced density matrices and coherence of trapped interacting bosons
- Negative quench induced excitation dynamics for ultracold bosons in one-dimensional lattices
- Super-Tonks-Girardeau regime in trapped one-dimensional dipolar gases
- Bosonic and fermionic dipoles on a ring
- Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
- Phases, many-body entropy measures and coherence of interacting bosons in optical lattices
- Ground state of low dimensional dipolar gases: linear and zigzag chains
- Quench-induced resonant tunneling mechanisms of bosons in an optical lattice with harmonic confinement
- Extended Bose-Hubbard Model with dipolar and contact interactions
- Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
- Semiclassical quench dynamics of Bose gases in optical lattices
- Quench Dynamics of Finite Bosonic Ensembles in Optical Lattices with Spatially Modulated Interactions
- Cold atoms in real-space optical lattices
- Quantum Magnetism with Mesoscopic Bose-Einstein Condensates
- Observation of atom-number fluctuations in optical lattices via quantum collapse and revival dynamics
- Density ripples in expanding low-dimensional gases as a probe of correlations