Strongly correlated states of trapped ultracold fermions in deformed Landau levels

被引:4
作者
Burrello, M. [1 ]
Rizzi, M. [2 ]
Roncaglia, M. [3 ]
Trombettoni, A. [4 ,5 ,6 ]
机构
[1] Max Planck Inst Quantum Opt, D-85748 Garching, Germany
[2] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany
[3] INRIM, I-10135 Turin, Italy
[4] CNR, IOM DEMOCRITOS Simulat Ctr, I-34136 Trieste, Italy
[5] SISSA, I-34136 Trieste, Italy
[6] Ist Nazl Fis Nucl, Sez Trieste, I-34136 Trieste, Italy
关键词
QUANTUM HALL STATES; WAVE-FUNCTIONS;
D O I
10.1103/PhysRevB.91.115117
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We analyze the strongly correlated regime of a two-component trapped ultracold fermionic gas in a synthetic non-Abelian U(2) gauge potential, that consists of both a magnetic field and a homogeneous spin-orbit coupling. This gauge potential deforms the Landau levels (LLs) with respect to the Abelian case and exchanges their ordering as a function of the spin-orbit coupling. In view of experimental realizations, we show that a harmonic potential combined with a Zeeman term gives rise to an angular momentum term, which can be used to test the stability of the correlated states obtained through interactions. We derive the Haldane pseudopotentials (HPs) describing the interspecies contact interaction within a lowest LL approximation. Unlike ordinary fractional quantum Hall systems and ultracold bosons with short-range interactions in the same gauge potential, the HPs for sufficiently strong non-Abelian fields show an unconventional nonmonotonic behavior in the relative angular momentum. Exploiting this property, we study the occurrence of new incompressible ground states as a function of the total angular momentum. In the first deformed Landau level (DLL) we obtain Laughlin and Jain states. Instead, in the second DLL three classes of stabilized states appear: Laughlin states, a series of intermediate strongly correlated states, and finally vortices of the integer quantum Hall state. Remarkably, in the intermediate regime, the nonmonotonic HPs of the second DLL induce two-particle correlations which are reminiscent of paired states such as the Haffnian state. Via exact diagonalization in the disk geometry, we compute experimentally relevant observables such as density profiles and correlations, and we study the entanglement spectra as a further tool to characterize the obtained strongly correlated states.
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页数:18
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