Quantum phases of collective SU(3) spin systems with bipartite symmetry
- URL: http://arxiv.org/abs/2001.08310v2
- Date: Mon, 27 Jan 2020 15:38:23 GMT
- Title: Quantum phases of collective SU(3) spin systems with bipartite symmetry
- Authors: D\'avid Jakab, Zolt\'an Zimbor\'as
- Abstract summary: We study a bipartite collective spin-$1$ model with exchange interaction between the spins.
One of the five phases features a strong bipartite symmetry breaking, meaning that the two subsystems in the ground states are in different $mathrmSU(3)$ representations.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study a bipartite collective spin-$1$ model with exchange interaction
between the spins. The bipartite nature of the model manifests itself by the
spins being divided into two equal-sized subsystems; within each subsystem the
spin-spin interactions are of the same strength, across the subsystems they are
also equal, but the two coupling values within and across the subsystem are
different. Such a set-up is inspired by recent experiments with ultracold
atoms. Using the $\mathrm{SU}(3)$-symmetry of the exchange interaction and the
permutation symmetry within the subsystems, we can employ representation
theoretic methods to diagonalize the Hamiltonian of the system in the entire
parameter space of the two coupling-strengths. These techniques then allow us
to explicitly construct and explore the ground-state phase diagram. The phase
diagram turns out to be rich containing both gapped and gapless phases. An
interesting observation is that one of the five phases features a strong
bipartite symmetry breaking, meaning that the two subsystems in the ground
states are in different $\mathrm{SU}(3)$ representations.
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