期刊
PHYSICAL REVIEW B
卷 92, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.92.045106
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资金
- ERC
- SIQS
- EU Marie Curie ITN COHERENCE
- SFB FoQuS (FWF Project) [F4016-N23]
- ERA-NET CHIST-ERA (R-ION consortium)
- Austrian Science Fund (FWF) [P 25454-N27]
- Austrian Ministry of Science BMWF as part of the UniInfrastrukturprogramm of the Focal Point Scientific Computing at the University of Innsbruck
- ERC [307688]
- EOARD
- UdS via IdEX
- ANR via BLUESHIELD
- RYSQ
- Austrian Science Fund (FWF) [P 25454] Funding Source: researchfish
- European Research Council (ERC) [307688] Funding Source: European Research Council (ERC)
We investigate the quantum phases of hard-core bosonic atoms in an extended Hubbard model where particles interact via soft-shoulder potentials in one dimension. Using a combination of field-theoretical methods and strong-coupling perturbation theory, we demonstrate that the low-energy phase can be a conformal cluster Luttinger liquid (CLL) phase with central charge c = 1, where the microscopic degrees of freedom correspond to mesoscopic ensembles of particles. Using numerical density-matrix renormalization-group methods, we demonstrate that the CLL phase [first predicted in M. Mattioli et al., Phys. Rev. Lett. 111, 165302 (2013)] is separated from a conventional Tomonaga-Luttinger liquid by an exotic critical point with central charge c = 3/2. The latter is expression of an emergent conformal supersymmetry, which is not present in the original Hamiltonian. We discuss the observability of the CLL phase in realistic experimental settings with weakly dressed Rydberg atoms confined to optical lattices. Using quantum Monte Carlo simulations, we show that the typical features of CLLs are stable up to comparatively high temperatures. Using exact diagonalizations and quantum trajectory methods, we provide a protocol for adiabatic state preparation as well as quantitative estimates on the effects of particle losses.
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