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Classical, semiclassical and quantum signatures of quantum phase transitions in a (pseudo) relativistic many-body system | | Maximilian Nitsch
; Benjamin Geiger
; Klaus Richter
; Juan Diego Urbina
; | | Date: |
9 Jul 2020 | | Abstract: | We identify a (pseudo) relativistic spin-dependent analogue of the celebrated
quantum phase transition driven by the formation of a bright soliton in
attractive one-dimensional bosonic gases. In this new scenario, due to the
simultaneous existence of the linear dispersion and the bosonic nature of the
system, special care must be taken with the choice of energy region where the
transition takes place. Still, due to a crucial adiabatic separation of scales,
and identified through extensive numerical diagonalization, a suitable
effective model describing the transition is found. The corresponding
mean-field analysis based on this effective model provides accurate predictions
for the location of the quantum phase transition when compared against
extensive numerical simulations. Furthermore, we numerically investigate the
dynamical exponents characterizing the approach from its finite-size precursors
to the sharp quantum phase transition in the thermodynamic limit. | | Source: | arXiv, 2007.4650 | | Services: | Forum | Review | PDF | Favorites | |
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