Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions

@article{Bera2019RelaxationOS,
  title={Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions},
  author={Soumya Bera and Sudip Kumar Haldar and Barnali Chakrabarti and Andrea Trombettoni and V. K. B. Kota},
  journal={The European Physical Journal D},
  year={2019},
  volume={74},
  pages={1-10}
}
Abstract We study the quantum many-body dynamics and entropy production triggered by an interaction quench of few dipolar bosons in an external harmonic trap. We solve the time-dependent many-body Schrödinger equation by using an in-principle numerically exact many-body method called the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study the dynamical measures with high level of accuracy. We monitor the time evolution of the occupation in the natural orbitals and… 

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References

SHOWING 1-10 OF 212 REFERENCES
Many-body entropies, correlations, and emergence of statistical relaxation in interaction quench dynamics of ultracold bosons
We study the quantum many-body dynamics and the entropy production triggered by an interaction quench in a system of N = 10 interacting identical bosons in an external one-dimensional harmonic trap.
Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type
The exactly solvable quantum many-particle model with harmonic one- and two-particle in- teraction terms is extended to include time-dependency. We show that when the external trap potential and
Phases, many-body entropy measures, and coherence of interacting bosons in optical lattices
Already a few bosons with contact interparticle interactions in small optical lattices feature a variety of quantum phases: superfluid, Mott-insulator and fermionized Tonks gases can be probed in
Reduced Density Matrices and Coherence of Trapped Interacting Bosons
The first- and second-order correlation functions of trapped interacting Bose-Einstein condensates are investigated numerically on a many-body level from first principles. Correlations in real space
Fidelity decay and entropy production in many-particle systems after random interaction quench
We analyze the effect of spin degree of freedom on fidelity decay and entropy production of a many-particle fermionic(bosonic) system in a mean-field, quenched by a random two-body interaction
Dynamics of Ultracold Atoms in the Presence of an Impurity Ion
We explore the quantum dynamics of a one-dimensional trapped ultracold ensemble of bosonic atoms triggered by the sudden creation of a single ion. The numerical simulations are performed by means of
Tunneling Dynamics in Open Ultracold Bosonic Systems
This thesis explores the quantum many-body tunneling dynamics of open ultracold bosonic systems with the recently developed multiconfigurational time-dependent Hartree for bosons (MCTDHB) method. The
Quantum quench in a harmonically trapped one-dimensional Bose gas
We study the non-equilibrium dynamics of a one-dimensional Bose gas trapped by a harmonic potential for a quench from zero to infinite interaction. The different thermodynamic limits required for the
Correlated many-body calculation to study characteristics of Shannon information entropy for ultracold trapped interacting bosons
A correlated many-body calculation is presented to characterize the Shannon information entropy of trapped interacting bosons. We reformulate the one-body Shannon information entropy in terms of the
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