Superfluid Density of Weakly Interacting Bosons on a Lattice

Yanay, Yariv; Mueller, Erich J

doi:10.48550/arxiv.1209.2446

Cited by 4 publications

(9 citation statements)

References 26 publications

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“…Results: We first verify numerically Eqs. (7,8,9) are satisfied and that results from our QMC and DMRG are in agreement. The top panel of Fig.…”

supporting

confidence: 74%

“…This, of course, is expected from the relation between fermions and HCB via the JW transformation but it emphasizes the importance of finite size effects for small |U |. Another important feature is the lack of symmetry between U < 0 and U > 0, a feature which persists for soft core bosons contrary to mean field results [9][10][11].…”

Section: Fig 2 (Color Online)mentioning

confidence: 94%

“…While there is obvious consensus that when the attraction is strong enough, the bosons are tightly paired and transport is only via pair superfluidity (PSF), there is no consensus on the weakly attractive case. Mean field calculations [9][10][11] show that for weak inter-species coupling, the DSF in the repulsive case is equivalent to the PSF in the attractive case and that the corresponding SF densities are symmetric with respect to the interaction sign. For bosons with strong, but finite, intra-species repulsion in one dimension, renormalization group calculations [16] argue that, for weak interaction, one needs a minimum attraction to form PSF and that PSF may co-exist with charge density wave (CDW).…”

mentioning

confidence: 99%

“…However, when the coupling is strongly repulsive and the lattice filling is commensurate, supercounterflow can be observed [5][6][7][8]. The two-component DSF density was also studied with mean field [9][10][11] and quantum Monte Carlo (QMC) as was the three component case [11]. Mean field gives a DSF density proportional to the square of the interspecies interaction for the two-component case leading to the conclusion that this effect is independent of the sign of the coupling.…”

mentioning

confidence: 99%

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Pairing and pair superfluid density in one-dimensional Hubbard models

Grémaud,

Batrouni

2020

Preprint

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We use unbiased computational methods to elucidate the onset and properties of pair superfluidity in two-species fermionic and bosonic systems with onsite interspecies attraction loaded in onedimensional optical lattice. We compare results from quantum Monte Carlo (QMC) and density matrix renormalization group (DMRG), emphasizing the one-to-one correspondence between the Drude weight tensor, calculated with DMRG, and the various winding numbers extracted from the QMC. Our results show that, for any nonvanishing attractive interaction, pairs form and are the sole contributors to superfluidity, there are no individual contributions due to the separate species. For weak attraction, the pair size diverges exponentially, i.e. Bardeen-Cooper-Schrieffer (BCS) pairing requiring huge systems to bring out the pair-only nature of the superfluid. This crucial property is largely overlooked in many studies, thereby misinterpreting the origin and nature of the superfluid. We compare and contrast this with the repulsive case and show that the behavior is very different, contradicting previous claims about drag superfluidity and the symmetry of properties for attractive and repulsive interactions. Finally, our results show that the situation is similar for soft core bosons: superfluidity is due only to pairs, even for the smallest attractive interaction strength compatible with the largest system sizes that we could attain.

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“…Results: We first verify numerically Eqs. (7,8,9) are satisfied and that results from our QMC and DMRG are in agreement. The top panel of Fig.…”

supporting

confidence: 74%

Section: Fig 2 (Color Online)mentioning

confidence: 94%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Pairing and pair superfluid density in one-dimensional Hubbard models

Grémaud,

Batrouni

2020

Preprint

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“…To further determine the superfluid density, we imposing a phase twist (e.g. see [60][61][62]), i.e., a supercurrent, on the order parameter as…”

mentioning

confidence: 99%

Topological semimetal and superfluid of s-wave interacting fermionic atoms in an orbital optical lattice

Arzamasovs¹,

Li²,

Liu³

et al. 2021

Preprint

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Recent advanced experimental implementations of optical lattices with highly tunable geometry open up new regimes for quantum many-body states of matter that previously had not been accessible. Here we introduce a symmetry-based method of utilizing the geometry of optical lattice to systematically control topologically nontrivial orbital hybridization. Such an orbital mixing leads to an unexpected and yet robust topological semimetal at single-particle level for a gas of fermionic atoms. When considering s-wave attractive interaction between atoms as for instance tuned by Feshbach resonance, topological superfluid state with high Chern number is unveiled in the presence of on-site rotation. This state supports chiral edge excitations, manifesting its topological nature. An experimental realization scheme is designed, which introduces a systematic way of achieving a new universality class (such as Chern number of 2) of orbital-hybridized topological phases beyond geometrically standard optical lattices.

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Topological superfluid of s -wave-interacting fermions by engineered orbital hybridization in an optical lattice

Arzamasovs

Li²,

Han³

et al. 2023

Phys. Rev. A

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Recent advanced experimental implementations of optical lattices with highly tunable geometry open up new regimes for exploring quantum many-body states of matter that had not been accessible previously. Here we report that a topological fermionic superfluid with higher Chern number emerges spontaneously from s-wave spin-singlet pairing in an orbital optical lattice when its geometry is tuned to explicitly break reflection symmetry. Qualitatively distinct from the conventional scheme that relies on higher partial wave pairing, the crucial ingridient of our model is topology originating from mixing higher Wannier orbitals. It leads to unexpected changes in the topological band structure at the single-particle level, i.e. the bands are transformed from possessing two flux π Dirac points into a single quadratic touching point with flux 2π. Based on such engineered single-particle bands, spin-singlet pairing of ultracold fermions arising from standard s-wave attractive interaction is found to induce higher Chern number (Chern number of 2) and topologically-protected chiral edge modes, all occurring at a higher critical temperature in relative scales, potentially circumventing one of the major obstacle for its realization in ultracold gases.

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Superfluid Density of Weakly Interacting Bosons on a Lattice

Cited by 4 publications

References 26 publications

Pairing and pair superfluid density in one-dimensional Hubbard models

Pairing and pair superfluid density in one-dimensional Hubbard models

Topological semimetal and superfluid of s-wave interacting fermionic atoms in an orbital optical lattice

Topological superfluid of s -wave-interacting fermions by engineered orbital hybridization in an optical lattice

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