More on Complex Sachdev-Ye-Kitaev Eternal Wormholes

Zhang, Pengfei

doi:10.48550/arxiv.2011.10360

Cited by 3 publications

(3 citation statements)

References 49 publications

(82 reference statements)

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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

Li,

Wang

2021

Preprint

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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

Li,

Wang

2021

Preprint

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“…At half-filling, this model can acquire a gapped ground state, when the fermions occupy only the lower energy 'bonding' orbitals which are eigenstates of the κ term. Holographically, this gapped state corresponds to an eternal wormhole between 2 black holes with AdS 2 horizons, as has been discussed in many recent works (Gao and Jafferis, 2021;García-García et al, 2019;Maldacena and Qi, 2018;Nikolaenko et al, 2021;Plugge et al, 2020;Sahoo et al, 2020;Zhang, 2021;Zhou et al, 2021;Zhou and Zhang, 2020).…”

Section: Wormholesmentioning

confidence: 66%

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Chowdhury,

Georges,

Parcollet

et al. 2021

Preprint

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We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The review is placed in the context of numerous experimental observations on correlated electron materials. Strong correlations in metals are often associated with their proximity to a Mott transition to an insulator created by the local Coulomb repulsion between the electrons. We explore the phase diagrams of a number of models of such local electronic correlation, employing a dynamical mean field theory in the presence of random spin exchange interactions. Numerical analyses and analytical solutions, using renormalization group methods and expansions in large spin degeneracy, lead to critical regions which display SYK physics. The models studied include the single-band Hubbard model, the t-J model and the two-band Kondo-Heisenberg model in the presence of random spin exchange interactions. We also examine non-Fermi liquids obtained by considering each SYK model with random four-fermion interactions to be a multi-orbital atom, with the SYK-atoms arranged in an infinite lattice. We connect to theories of sharp Fermi surfaces without any low-energy quasiparticles in the absence of spatial disorder, obtained by coupling a Fermi liquid to a gapless boson; a systematic large N theory of such a critical Fermi surface, with SYK characteristics, is obtained by averaging over an ensemble

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“…The decoupled ancilla layers are a pair of the SYK 4 models with a non-random exchange coupling J ⊥ between them. This is similar, but not identical, to coupled SYK models considered in the literature: there have been studies of SYK models each with a different random 4-fermion term, coupled with another random 4-fermion term [63][64][65][66]; and of SYK models each with the same random 4-fermion term, coupled by non-random 2-fermion terms [56,[67][68][69][70][71][72]. In our case with a non-random 4-fermion coupling J ⊥ , the argument below (4.2) implies that an infinitesimal J ⊥ induces a gap.…”

Section: B Non-zero Dopingmentioning

confidence: 52%

Small to large Fermi surface transition in a single band model, using randomly coupled ancillas

Nikolaenko,

Tikhanovskaya,

Sachdev

et al. 2021

Preprint

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We describe a solvable model of a quantum transition in a single band model involving a change in the size of the electron Fermi surface without any symmetry breaking. In a model with electron density 1 − p, we find a 'large' Fermi surface state with the conventional Luttinger volume 1 − p of electrons for p > p c , and a first order transition to a 'small' Fermi surface state with a non-Luttinger volume p of holes for p < p c . As required by extended Luttinger theorems, the small Fermi surface state also has fractionalized spinon excitations. The model has electrons with strong local interactions in a single band; after a canonical transformation, the interactions are transferred to a coupling to two layers of ancilla qubits, as proposed by Zhang and Sachdev (Phys. Rev. Research 2, 023172 (2020)). Solvability is achieved by employing random exchange interactions within the ancilla layers, and taking the large M limit with SU(M ) spin symmetry, as in the Sachdev-Ye-Kitaev models. The local electron spectral function of the small Fermi surface phase displays a particle-hole asymmetric pseudogap, and maps onto the spectral function of a lightly doped Kondo insulator of a Kondo-Heisenberg lattice model. We discuss connections to the physics of the hole-doped cuprates: the asymmetric pseudogap observed in STM, and the sudden change from incoherent to coherent anti-nodal spectra observed recently in photoemission. A holographic analogy to wormhole transitions between multiple black holes is briefly noted.

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More on Complex Sachdev-Ye-Kitaev Eternal Wormholes

Cited by 3 publications

References 49 publications

Free energy landscape and kinetics of phase transition in two coupled SYK models

Free energy landscape and kinetics of phase transition in two coupled SYK models

Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

Small to large Fermi surface transition in a single band model, using randomly coupled ancillas

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