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Correlation Dynamics of Dipolar Bosons in 1D Triple Well Optical Lattice

1
Department of Physics, Presidency University, 86/1 College Street, Kolkata 700073, India
2
Department of Physics and Astronomy “Galileo Galilei”, University of Padova Via Marzolo 8, I-35131 Padova, Italy
3
Abdus Salam International Centre for Theoretical Physics, I-34100 Trieste, Italy
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(7), 909; https://doi.org/10.3390/sym11070909
Received: 21 June 2019 / Revised: 8 July 2019 / Accepted: 8 July 2019 / Published: 12 July 2019
(This article belongs to the Special Issue Symmetry Breaking in Bose-Einstein Condensates)
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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 ( V f > V i ) , 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 ( τ ) which can uniquely distinguish the timescale of dynamics for dipolar interaction from that of contact interaction. In the reverse quench process ( V i > V f ) , 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. View Full-Text
Keywords: lattice depth quench; correlation dynamics; dipolar interaction lattice depth quench; correlation dynamics; dipolar interaction
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Bera, S.; Salasnich, L.; Chakrabarti, B. Correlation Dynamics of Dipolar Bosons in 1D Triple Well Optical Lattice. Symmetry 2019, 11, 909.

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