Optical lattice platform for the SYK model

Wei, Chenan; Sedrakyan, Tigran A.

doi:10.48550/arxiv.2005.07640

Cited by 6 publications

(7 citation statements)

References 33 publications

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“…This is inspired by Ref. [39], but the same symmetry setting might be relevant in other platforms such as cold atoms [40,41] or spin chain [42] realizations.…”

Section: Experimental Platforms and Form Of Interactionsmentioning

confidence: 99%

Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model

Lantagne-Hurtubise,

Pathak,

Sahoo

et al. 2020

Preprint

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We introduce a spinful variant of the complex Sachdev-Ye-Kitaev model with time reversal symmetry, which can be solved exactly in the limit of a large number N of degrees of freedom. At low temperature, the phase diagram of the model includes a compressible non-Fermi liquid and a strongly-correlated spin singlet superconductor that shows a tunable enhancement of the gap ratio predicted by BCS theory. The two phases are separated by a first-order phase transition, in the vicinity of which a gapless superconducting phase is stabilized. We also discuss time-reversal breaking perturbations that introduce a finite magnetization coexisting with superconductivity.

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“…This is inspired by Ref. [39], but the same symmetry setting might be relevant in other platforms such as cold atoms [40,41] or spin chain [42] realizations.…”

Section: Experimental Platforms and Form Of Interactionsmentioning

confidence: 99%

Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model

Lantagne-Hurtubise,

Pathak,

Sahoo

et al. 2020

Preprint

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“…[28] have shown the existence of isolated flat bands and spin-1 conical bands with a flat band located at E = 0 employing staggered flux phases ψ + and ψ − on the up and down triangles of the kagome lattice. A recent work [38] considering the same flux ψ on the up and down triangles of the kagome lattice has shown that the flat band in the model can also be tuned from top to middle to bottom when changing the flux ψ. The current results on the conditions for the existence of flat bands and its tunability certainly will enrich the flat band physics in kagome lattice from Abelian to non-Abelian regime.…”

Section: B Location-tuable Flat Bandsmentioning

confidence: 99%

Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice

Gao,

Lan

2020

Preprint

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We introduce a non-Abelian kagome lattice model that has both time-reversal and inversion symmetries and study the flat band physics and topological phases of this model. Due to the coexistence of both time-reversal and inversion symmetries, the energy bands consist of three doubly degenerate bands, whose energy and the conditions for the presence of flat bands could be obtained analytically, allowing us to tune the flat band with respect to the other two dispersive bands from top to middle then to bottom of the three bands. We further study the gapped phases of the model and show that they belong to the same phase as the band gaps only close at discrete points of the Brillouin zone, making any two gapped phases adiabatically connected to each other without closing the band gap. Using Pfaffian approach based on the time-reversal symmetry and parity characterization from the inversion symmetry, we calculate the bulk topological invariants and demonstrate that the unique gapped phases belong to the Z2 quantum spin Hall phase, which is further confirmed by the edge state calculations.

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“…These effects have been identified as characteristic signatures of the wormhole phase. Significant efforts have been made to physically realize the SYK model in atomic [18], optical [19], and solid-state [20][21][22] platforms, or using quantum simulators [23,24]. Proposals for implementing and observing the wormhole physics in the MQ model and its complex fermion variants have also been made [8,25,26].…”

Section: Introductionmentioning

confidence: 99%

Traversable wormhole in coupled SYK models with imbalanced interactions

Haenel,

Sahoo,

Hsieh

et al. 2021

Preprint

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A pair of identical Sachdev-Ye-Kitaev (SYK) models with bilinear coupling forms a quantum dual of a traversable wormhole, with a ground state close to the so called thermofield double state. We use adiabaticity arguments and numerical simulations to show that the character of the ground state remains unchanged when interaction strengths in the two SYK models become imbalanced. Analysis of thermodynamic and dynamical quantities highlights the key signatures of the wormhole phase in the imbalanced case. Further adiabatic evolution naturally leads to the 'maximally imbalanced' limit where fermions in a single SYK model are each coupled to a free Majorana zero mode. This limit is interesting because it could be more easily realized using various setups proposed to implement the SYK model in a laboratory. We find that this limiting case is marginal in that it retains some of the characteristic signatures of the wormhole physics, such as the spectral gap and revival dynamics, but lacks others so that it likely does not represent the full-fledged wormhole dual. We discuss how this scenario could be implemented in the proposed realization of the SYK physics in quantum wires of finite length coupled to a disordered quantum dot.

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Optical lattice platform for the SYK model

Cited by 6 publications

References 33 publications

Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model

Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model

Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice

Traversable wormhole in coupled SYK models with imbalanced interactions

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