One-dimensional extended Hubbard model with spin-triplet pairing ground states

Tanaka, Akinori

doi:10.1088/1751-8113/49/41/415001

Cited by 3 publications

(5 citation statements)

References 23 publications

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“…We compare our numerical results with this estimate to determine the possible emergence of superfluidity, provided by the criterion O η > O η | DW .The ground state is found using Exact Diagonalization up to N s = 10 sites with periodic boundary conditions and then operator expectation values are estimated. The use of O η has been discussed in the context of superconducting states in electronic systems [46,47], as well as, Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states and extended Hubbard models [48]. The correspondence between the quantum phases (QP) of system and the order parameters is in the table (I).…”

Section: Fig 1: (Color Online) Schematic Representation Of the Model Amentioning

confidence: 99%

Quantum simulation of competing orders with fermions in quantum optical lattices

2017

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Ultracold Fermi atoms confined in optical lattices coupled to quantized modes of an optical cavity are an ideal scenario to engineer quantum simulators in the strongly interacting regime. The system has both short range and cavity induced long range interactions. We propose such a scheme to investigate the coexistence of superfluid pairing, density order and quantum domains having antiferromagnetic or density order in the Hubbard model in a high finesse optical cavity at T = 0. We demonstrate that those phases can be accessed by properly tuning the linear polarizer of an external pump beam via the cavity back-action effect, while modulating the system doping. This allows emulate the typical scenarios of analog strongly correlated electronic systems.Introduction. Coupling ultracold quantum gases to high-finesse optical cavities is a novel scenario to explore many-body phases in the full quantum regime by exploiting the controllability of light-matter interaction [1,2]. Major experimental breakthroughs have been achieved in the quantum limit of both light and matter. For instance, the Dicke phase transition has been observed in a Bose-Einstein condensate coupled to cavity modes [3]. Experimentally, it has been achieved the emergence and control of supersolid phases where the cavity backaction generates light-induced effective long-range interactions which compete with short-range interatomic interactions [4][5][6][7][8].On the theoretical side, recent studies have introduced settings where cavity fields generate gauge-fields [9, 10], artificial spin-orbit coupling [11], self-organized phases [12,13], topological phases [14,15], measurement induced entangled modes [16], induced magnetic and density order using measurement back action [17] and feedback control [18], dimerization [19], spin lattice systems [20] and quantum simulators based on global collective lightmatter interactions [21,22].

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Section: Fig 1: (Color Online) Schematic Representation Of the Model Amentioning

confidence: 99%

Quantum simulation of competing orders with fermions in quantum optical lattices

2017

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“…However, because of the quantum group symmetry, the excited states also have additional degeneracies which are not observed in the spectrum of Eq. (73). Nevertheless, we can still construct the lowering operator analogous to S − in Eq.…”

Section: Phase Diagrammentioning

confidence: 99%

“…Less steps are required for deriving that |Ψ ± are the ground states of H, it is, however, a less transparent method. A similar approach has been used by Tanaka, 73 who discussed a more general model with interaction, which includes as a special case the noninteracting model.…”

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confidence: 99%

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Exact ground states for interacting Kitaev chains

2018

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We introduce a frustration-free, one-dimensional model of spinless fermions with hopping, pwave superconducting pairing and alternating chemical potentials. The model possesses two exactly degenerate ground states even for finite system sizes. We present analytical results for the strong Majorana zero modes, the phase diagram and the topological order. Furthermore, we generalise our results to include interactions.

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“…Less steps are required for deriving that |Ψ ± ⟩ are the ground states of 𝐻, it is, however, a less transparent 2 Exact ground states for interacting Kitaev chains method. A similar approach has been used by Tanaka [126], who discussed a more general model with interaction, which includes as a special case the non-interacting model.…”

Section: A Lindblad Operatorsmentioning

confidence: 99%

Exotic phases in strongly correlated parafermion chains

Wouters¹

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List of publications viib This is by no means a complete discussion of topological systems. Only the necessary background is presented for understanding 1D topological chains, as they are the protagonist of this thesis. c For the explicit form of the Hamiltonian, see Chapters 2 and 3. 2 Exact ground states for interacting Kitaev chains This chapter is based on: J. Wouters, H. Katsura and D. Schuricht, Exact ground states for interacting Kitaev chains, Physical Review B 98(11), 155119 (2018). J.W. performed most of the calculations and all numerical simulations, discussed the results and contributed to the final version of the manuscript.We introduce a frustration-free, one-dimensional model of spinless fermions with hopping, p-wave superconducting pairing and alternating chemical potentials. The model possesses two exactly degenerate ground states even for finite system sizes. We present analytical results for the strong Majorana zero modes, the phase diagram and the topological order. Furthermore, we generalise our results to include interactions.

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One-dimensional extended Hubbard model with spin-triplet pairing ground states

Cited by 3 publications

References 23 publications

Quantum simulation of competing orders with fermions in quantum optical lattices

Quantum simulation of competing orders with fermions in quantum optical lattices

Exact ground states for interacting Kitaev chains

Exotic phases in strongly correlated parafermion chains

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