Many-body effects on second-order phase transitions in spinor
Bose-Einstein condensates and breathing dynamics
- URL: http://arxiv.org/abs/2004.09303v2
- Date: Wed, 3 Jun 2020 18:45:06 GMT
- Title: Many-body effects on second-order phase transitions in spinor
Bose-Einstein condensates and breathing dynamics
- Authors: K. M. Mittal, S. I. Mistakidis, P. G. Kevrekidis and P. Schmelcher
- Abstract summary: We unravel the correlation effects of the second-order quantum phase transitions emerging on the ground state of a harmonically trapped spin-1 Bose gas.
It is found that the boundaries of the associated magnetic phases are altered in the presence of interparticle correlations for both ferromagnetic and anti-ferromagnetic spin-spin interactions.
We demonstrate that for an initial broken-axisymmetry phase an enhanced spin-flip dynamics takes place which can be tuned either via the linear Zeeman term or the quench amplitude.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We unravel the correlation effects of the second-order quantum phase
transitions emerging on the ground state of a harmonically trapped spin-1 Bose
gas, upon varying the involved Zeeman terms, as well as its breathing dynamics
triggered by quenching the trapping frequency. It is found that the boundaries
of the associated magnetic phases are altered in the presence of interparticle
correlations for both ferromagnetic and anti-ferromagnetic spin-spin
interactions, an effect which becomes more prominent in the few-body scenario.
Most importantly, we unveil a correlation-induced shrinking of the
anti-ferromagnetic and broken-axisymmetry phases implying that ground states
with bosons polarized in a single spin-component are favored. Turning to the
dynamical response of the spinor gas it is shown that its breathing frequency
is independent of the system parameters while correlations lead to the
formation of filamentary patterns in the one-body density of the participating
components. The number of filaments is larger for increasing spin-independent
interaction strengths or for smaller particle numbers. Each filament maintains
its coherence and exhibits an anti-correlated behavior while distinct filaments
show significant losses of coherence and are two-body correlated.
Interestingly, we demonstrate that for an initial broken-axisymmetry phase an
enhanced spin-flip dynamics takes place which can be tuned either via the
linear Zeeman term or the quench amplitude.
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