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Integer Quantum Hall State in Two-Component Bose Gases in a Synthetic Magnetic Field
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We study two-component (or pseudospin-1/2) Bose gases in a strong synthetic magnetic field. Using exact diagonalization, we show that a bosonic analogue of an integer quantum Hall state with no intrinsic topological order appears at the total filling factor \nu=1+1 when the strengths of intracomponent and intercomponent interactions are comparable with each other. This provides a prime example of a symmetry-protected topological phase in a controlled setting of quantum gases. The real-space entanglement spectrum of this state is found to be comprised of counter-propagating chiral modes consistent with the edge theory derived from the effective Chern-Simons theory.
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Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors
The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.
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