Disconnecting a traversable wormhole: Universal quench dynamics in random spin models

Zhou, Tiangang; Pan, Lei; Chen, Yu; Zhang, Pengfei; Zhai, Hui

doi:10.1103/physrevresearch.3.l022024

Cited by 13 publications

(13 citation statements)

References 33 publications

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“…A similar picture was found to hold also in other systems like tensor models, random matrices and the two-site SYK model [16][17][18][19]. In [20][21][22] the traversable spatial ("Lorentzian") wormholes have also been related to field theories averaged over the states or over the operators, starting, as could be expected, from thermofield-dynamics (TFD)-like states. Some recent generalizations are found in [23][24][25][26] and in particular in [27], where the authors find that nonlocally interacting bulk branes in 2D gravity provide a mechanism which restores factorization in absence of any explicit disorder.…”

Section: Jhep09(2022)136supporting

confidence: 59%

“…In addition to the collective fields introduced earlier, we now need also the fermion bilinear γ AB = ψA ψ B , with A, B ∈ {L, R}; in order to implement the constraint that defines γ AB we also have to introduce another auxiliary field called σ AB (analogous to s AA ). Actually, the fermionic part may be more familiar to the reader as fermionic collective fields were investigated in the literature in much detail, mainly in the JHEP09(2022)136 context of SYK model [12,17,20]. We can first write Z :…”

Section: Fermionic Contribution To D-string Partition Functionsmentioning

confidence: 99%

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Replicas, averaging and factorization in the IIB matrix model

Čubrović

2022

J. High Energ. Phys.

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We study the partition functions of multiple replicas (copies) of D-brane configurations in the type IIB (IKKT) matrix model. We consider the quenched regime, where small fluctuations of the matrices are superimposed onto the slow (quenched) dynamics of the background, so the partition function is an ensemble average over the background. Interacting D-branes always factorize in a simple way. On the other hand, the non-interacting BPS configurations may or may not factorize depending on the number of replicas, and their factorization mechanism is more involved as the corresponding saddle-point solutions (half-wormholes) break the replica symmetry. We argue that the simple factorization mechanism of interacting branes is actually more interesting as it carries the specific signatures of quantum gravity, which are absent from disordered field theories like the SYK model.

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Section: Jhep09(2022)136supporting

confidence: 59%

Section: Fermionic Contribution To D-string Partition Functionsmentioning

confidence: 99%

Replicas, averaging and factorization in the IIB matrix model

Čubrović

2022

J. High Energ. Phys.

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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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“…Using these relations, ( 9) and (10) become closed. The numerical approach for solving (9) and (10) with discretized time has been well explained in previous works [37,[40][41][42].…”

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confidence: 99%