More on complex Sachdev-Ye-Kitaev eternal wormholes

Zhang, Pengfei

doi:10.1007/jhep03(2021)087

Cited by 11 publications

(6 citation statements)

References 35 publications

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“…They further argued that, in the dual two Sachdev-Ye-Kitaev (SYK) systems [22][23][24][25] coupled by a relevant interaction, there is a similar phase diagram. The following analytical and numerical calculations confirm this argument [26][27][28][29][30][31].…”

Section: Introductionsupporting

confidence: 60%

Free energy landscape and kinetics of phase transition in two coupled SYK models and the corresponding wormhole-two black hole switching

Wang

2021

J. High Energ. Phys.

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We propose that the thermodynamics and the kinetics of the phase transition between wormhole and two black hole described by the two coupled SYK model can be investigated in terms of the stochastic dynamics on the underlying free energy landscape. We assume that the phase transition is a stochastic process under the thermal fluctuations. By quantifying the underlying free energy landscape, we study the phase diagram, the kinetic time and its fluctuations in details, which reveal the underlying thermodynamics and kinetics. It is shown that the first order phase transition between wormhole and two black hole described by two coupled SYK model is analogous to the Van der Waals phase transition. Therefore, the emergence of wormhole and two black hole phases, the phase transition and associated kinetics can be quantitatively addressed in our free energy landscape and kinetic framework through the dependence on the barrier height and the temperature.

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Section: Introductionsupporting

confidence: 60%

Free energy landscape and kinetics of phase transition in two coupled SYK models and the corresponding wormhole-two black hole switching

Wang

2021

J. High Energ. Phys.

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“…[20] as being realizable in a specific setup of a strained version of the Kitaev honeycomb model. Variants of the SYK model with two species of fermions have appeared previously, perhaps most prominently with the motivation of modeling eternal traversable wormholes using two quartic SYK models with only quadratic interactions between them [28,33,[66][67][68][69][70][71][72][73][74]. In Ref.…”

Section: Discussion and Contextmentioning

confidence: 99%

Bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics

2022

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We study a bipartite version of the Sachdev-Ye-Kitaev (SYK) model. We show that the model remains solvable in the limit of large-N in the same sense as the original model if the ratio of both flavors is kept finite. The scaling dimensions of the two species can be tuned continuously as a function of the ratio. We also investigate the finite-size spectral properties of the model. We show how the level statistics differs from the original SYK model and infer an additional exchange symmetry in the bipartite model.

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“…where the subscripts '±' denote the leading order terms in Φ. 7 A similar calculation is also discussed in [26].…”

Section: Solving For φ and ξmentioning

confidence: 96%

Phases of complex SYK from Euclidean wormholes

Hemant¹,

Roychowdhury²

2021

Preprint

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We present a JT gravity set up that reveals the evidence of (Euclidean) wormhole to black hole phase transitions at finite charge density and or chemical potential. We identify the low temperature gapped phase of the system as the charged wormhole solution that is conjectured to be dual to a two site complex SYK model at finite density. As the temperature of the system is increased, it passes over to a hot SYK phase which is dual to a two black hole system at finite density. Our analysis further reveals the existence of a (two site) Majorana SYK phase right at the critical point of the first order transition which glues the cold and the hot SYK phases together.

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More on complex Sachdev-Ye-Kitaev eternal wormholes

Cited by 11 publications

References 35 publications

Free energy landscape and kinetics of phase transition in two coupled SYK models and the corresponding wormhole-two black hole switching

Free energy landscape and kinetics of phase transition in two coupled SYK models and the corresponding wormhole-two black hole switching

Bipartite Sachdev-Ye-Kitaev model: Conformal limit and level statistics

Phases of complex SYK from Euclidean wormholes

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