Dynamics of order-disorder and complexity for interacting bosons in optical lattice

Abstract

The present work reports on the dynamical measures of order, disorder and complexity for the interacting bosons in optical lattice. We report results both for the relaxed state as well as quench dynamics. Our key observations are: (1) Lattice depth can be taken as order-disorder parameter. (2) The superfluid to Mott insulator transition can be treated as `order-disorder' transition. Our main motivation is to find how the system organize by itself during quench and how it optimizes the complexity. We find dynamical measures of order and disorder are more sensitive tool than entropy measures. We specifically calculate the time scale of entry and exit of different phases during time evolution. Initially the system exhibits collapse revival trend, however gradually looses its ability to turn back to superfluid phase and finally Settle to Mott insulator phase.

9 pages, 5 figures

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Cited by in corpus (8)

• Out of equilibrium many-body expansion dynamics of strongly interacting bosons
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Assessing small accelerations using a bosonic Josephson junction
• Expansion of strongly interacting dipolar bosons in 1D optical lattices
• Quasi-superfluid and Quasi-Mott phases of strongly interacting bosons in shallow optical lattice
• One-Dimensional Quench Dynamics in an Optical Lattice: sine-Gordon and Bose-Hubbard Descriptions
• Dynamics and transport of Bose-Einstein condensates in bent potentials
• Entropy production and statistical relaxation of dipolar bosons and fermions in interaction quench dynamics